Answer:
See below
Explanation:
from 10 m/s to 20 m/s
average is (10 + 20 )/2 = 15 m/s average
15 m/s * 60 sec = 900 meters
Here is a longer way to find out how fa it travelled
a = acceleration = change in velocity/ change in time
= 10 m/s / 60 sec = 1/6 m / s^2
xf = xo + vo t + 1/2 a t^2
= 0 + 10 (60) + 1/2 ( 1/6)(60)^2
= 600 + 1/12 (3600) = 900 meters
I NEED HELP ANSWER FAST WILL GIVE BRAINLY!!!!!!!
knowing the atomic number will also tell you what about an atom?
Answer:
the number of protons.
Explanation:
the atomic number is the number of protons in the nucleus of an atom. the number of protons Define the identity of an element.
using the CCW direction as positive, the net moment of the two forces about point P is:
a)20N.m
b)10N.m
c)-20N.m
d)40N.m
The net moment is 20N.m (30N.m - 10N.m). (A)
The net moment of the two forces about point P can be found by calculating the moment of each force and adding them together.
Using the CCW direction as positive, the moment of the 10N force is -10N.m and the moment of the 30N force is 30N.m.
To explain further, the moment of a force is the product of the magnitude of the force and the perpendicular distance from the point of rotation (in this case, point P) to the line of action of the force. The direction of the moment is determined by the direction of rotation, with CCW being positive and CW being negative.
In this problem, the 10N force creates a CW moment, so it has a negative sign. The 30N force creates a CCW moment, so it has a positive sign. Adding the moments together gives the net moment, which in this case is positive because the CCW moment is greater than the CW moment.(A)
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What would be the temperature inside the pressure cooker if the vapor pressure of water was 3.60 atm?
The temperature inside will be 413.2K.
T₁=373K
ΔH=40.65kJ/mol
P₁=1atm
P₂=3.6atm
we know that,
ln (P₂/P₁)=ΔH/R(1/T₁-1/T₂)
where,
T₁ is initial temperature
T₂ is final temperature
P₁ is initial pressure
P₂ is final pressure
on substituting value we get
T₂=413.2K
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why aren't heavier elements much larger than lighter elements
The heavier elements are not much larger because of the greater electrical attraction by the greater charge in the nucleus. The size of an atom is determined by the charge present at the nucleus of the atom, greater the atomic number, greater is the number of protons in the nucleus.
A car is traveling north on a straight road at 20 mys and a drone is flying east at 6 mys at an elevation of 25 m. At one instant the drone passes directly over the car. How fast is the distance between the drone and the car changing 5 seconds later
The distance between the drone and the car will be 20,3 m/s.
What is average velocity?
In physics, velocity is a quantity that identifies the displacement of a body in a given time. Thus, the average velocity measures in an average time interval, the speed of displacement of a body.
With that being said, Suppose that both car and drone starts from 0 and move towards north and east, respectively. So, after T time:
Distance covered by the car, \(y = 20.T.m\)
Distance cover by the drone, \(x = 6.T.m\)
Considering the elevations of 25m, the actual distance between them at any T instant:
\(A = \sqrt{(20T)^{2} } + (6T)^{2} +25^{2}\)
Speed, \(V = \frac{ds}{dt} = \frac{[2(20T).20+2(6T).8}{\sqrt{(20.5)^{2}+(6T)^{2}+25^{2} } }\)
\(V = 20,3 m/s\)
So, the distance between the drone and the car will be 20,3 m/s.
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Answer:
20.3 m/s
Explanation:
dx / dt = 20 m / s
dy / dt = 6 m / s
dj / dt = ? when t = 5 s
The trick here is that the drone is flying at an elevation of 25 m.
x^2 + y^2 = j^2
Implicit Differentiation: 2x dx / dt + 2y dy / dt = 2j dj / dt
We are not given x and y values. Solve by d = vt. Distance = velocity * time
x = 20(5) = 100 m
y = 6 (5) = 30 m
Now we need to solve for j, but we need to solve the hypotenuse z of the right triangle first.
z = \(\sqrt{(100)^2 + (30)^2\) ≈ 104.4 m
A mistake occurs when z is used as the distance between the drone and the car. Visualize the distance between the drone and the car as the right triangle where j is the hypotenuse, z is the x value, and 25 m is the y value.
j = \(\sqrt{(104.4)^2+(25)^2\) ≈ 107.35 m
dj / dt = 1 / 2(107.35)((4000 + 360)) ≈ 20.3 m/s
Norbu's mobile phone battery was very low. When he searched for his charger, he found that he had forgotten to take his mobile charger with him. He had two thin copper wires with him. Can he use these wires to charge his mobile phone by inserting them directly to the socket? Why?
Answer: No their are different chargers
No, Norbu cannot use the two thin copper wires to charge his mobile phone by inserting them directly into the socket.
Can he use these wires to charge his mobile phone by inserting them directly to the socket?Charging a mobile phone requires a proper charger and cable that are designed to regulate the flow of electricity and provide the appropriate voltage and current to the battery. Inserting copper wires directly into a socket is not only unsafe but also highly likely to result in electric shock, short-circuiting, overheating, or even causing a fire.
Using improper methods to charge electronic devices can lead to irreparable damage to the device, risk to personal safety, and damage to the electrical system. It's crucial to always use the correct and safe charging equipment provided by the manufacturer to ensure the safety of both the device and the user.
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DUE TONIGHT, JUST NEED TO CONFIRM ANSWER
3. An object moves in uniform circular motion with a centripetal force of 4.5 N. Which of the following is true?
(A) The object’s velocity vector is constant in magnitude and direction.
(B) The object’s acceleration vector is constant in magnitude and direction.
(C) Both the object’s velocity and acceleration vectors change both their magnitudes and directions.
(D) Both the object’s velocity and acceleration vectors have constant magnitudes but change directions.
Answer:
the answer is D I THINK
Explanation:
A car's bumper is designed to withstand a 5.04-km/h (1.4-m/s) collision with an immovable object without damage to the body of the car. The bumper cushions the shock by absorbing the force over a distance. Calculate the magnitude of the average force on a bumper that collapses 0.255 m while bringing a 890-kg car to rest from an initial speed of 1.4 m/s.
Answer:
3420.39 N
Explanation:
Applying,
Fd = 1/2(mv²-mu²)................. Equation 1
Where F = force on the bumber, d = distance, m = mass of the car, v = final velocity, u = initial velocity.
make F the subject of the equation
F = (mv²-mu²)/2d............... Equation 2
From the question,
Given: m = 890 kg, v = 0 m/s (to rest), u = 1.4 m/s, d = 0.255 m
Substitute these values into equation 2
F = [(890×0²)-(890×1.4²)]/(2×0.255)
F = -1744.4/0.51
F = -3420.39 N
The negative sign denotes that the force in opposite direction to the motion of the car.
When humans pollute lakes, rivers, and streams,
Answer:
when waterways are polluted it affects all forms of life in the area - including us
expression:
for example when Lakes streams and ponds are polluted it can kill or harsh fish and other Wildlife that lives there!
hope that helps !
Which of the following materials will float on water (density 1 g/mL)? air=.001 g/cm- float, corn oil=.93 g/cm- float, glycerine=1.26 g/cm- sink, corn syrup= 1.38 g/cm- sink, wood=.85 g/cm- float, steel=7.81 g/cm- sink, rubber=1.34 g/cm- sink, ice=.92 g/cm- float, water= 1.00 g/cm-.
Among the materials listed, air (density 0.001 g/cm³), corn oil (density 0.93 g/cm³), wood (density 0.85 g/cm³), and ice (density 0.92 g/cm³) will float on water (density 1 g/mL).
These materials have lower densities than water, allowing them to be buoyant and remain on the surface. On the other hand, glycerine (density 1.26 g/cm³), corn syrup (density 1.38 g/cm³), steel (density 7.81 g/cm³), and rubber (density 1.34 g/cm³) will sink due to their higher densities compared to water. It is important to note that an object will float in water if its density is less than the density of water and will sink if its density is greater than that of water.
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code talker: the first and only memoir by one of the original navajo code talkers of wwii
"Code Talker: The First and Only Memoir by One of the Original Navajo Code Talkers of WWII" is a book written by Chester Nez in collaboration with Judith Schiess Avila. It is an autobiography of the author and his experiences in World War II as a Navajo code talker.
The Navajo Code Talkers were an elite group of Navajo Marines who used their language to develop a code that could not be deciphered by the enemy. The Japanese had broken all American codes, so the Marines wanted to create an unbreakable code. The Navajo language, which had no written form, was the perfect solution. Navajo Code Talkers developed an intricate code that used their language's complex syntax, tonal qualities, and dialects. It proved to be the only code that the Japanese couldn't break.
The Navajo Code Talkers took part in every major Marine operation in the Pacific, from Guadalcanal to Okinawa. Chester Nez, the book's author, was one of the original Navajo Code Talkers. He was born in New Mexico in 1921 and was educated in a boarding school where he was forbidden from speaking his native Navajo language. Chester Nez was a U.S. Marine who was recruited in 1942 and became a part of the Navajo Code Talkers program. He was a member of the 382nd Platoon and served in the Pacific, where he worked as a radio operator.
Code Talker is about the Navajo Code Talkers, the Marine unit that used the Navajo language to develop an unbreakable code that played a crucial role in the U.S. victory over Japan in World War II. The book offers a first-hand account of what it was like to be a Navajo Code Talker during the war, as well as the impact that the code talkers had on the outcome of the war. Chester Nez provides an in-depth look at Navajo culture and history while telling his own personal story of growing up on the Navajo reservation and joining the Marine Corps.
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Does light travel faster in Barium glass or Crown glass? Explain
Answer:
Crown glass. The material which the velocity of light greatest is AIR. Because the speed of light in crown glass is the speed of light in a vacuum divided by the index of refraction of crown glass, which is 1.52. This works out to 1.97 times 10 to the 8 meters per second is the speed of light in crown glass.
A tuna jumps out of the water with an initial velocity of 44 feet per second (assume its starting height is 0 feet). Use the vertical motion model, h 16t²+uts where is the initial velocity in feet per second and is is the height in feet, to calculate the amount of time the tuna is in the air before it hits the ground again. Round your answer to the nearest tenth if necessary.
The time spent in air by the tuna before it hits the ground is determined as 1.375 seconds.
What is time spent in air by an object?
The time spent in air by an object or a projectile is the total time of motion of the object or projectile.
Final velocity of the tuna when it hits the groundThe time spent in air by the tuna can be determined by finding equation of the final velocity of the tuna when it hits the ground as follows;
h = 16t² + ut
where;
h is the height traveled by the tunau is the initial velocity of the tunet is the time of motionVelocity of the tuna when it hits the ground,
v = dh/dt
dh/dt = 32t + u
when the tuna hits the ground, final velocity = 0
0 = 32t + u
0 = 32t + 44
t = -44/32
|t| = 1.375 seconds
Thus, the time spent in air by the tuna before it hits the ground is determined as 1.375 seconds.
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Please help with this problem
Mineralogically, barite is a sulfate, bornite is a sulfide, cuprite is an oxide, magnesite is a carbonate.
Which minerals fall under the main categories?Based on their chemical compositions, scientists divide minerals into groups. Nine major mineral classes were originally specified in the Dana Classification System: Native Elements, Sulfides, Sulfates, Halides, Oxides, Carbonates, Phosphates, Silicates, and Organic Minerals.There are four basic types of mineral formation: (1) igneous, or magmatic, when minerals form crystals from a melt, (2) Sedimentary, where minerals are produced by a process called sedimentation that uses fragments of other rocks that have suffered weathering or erosion as their raw material, and (3) Metamorphic.Mineralogically, barite is a sulfate, bornite is a sulfide, cuprite is an oxide, magnesite is a carbonate.To learn more about minerals refer to:
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Among the mineral groups, barite is a sulfide mineral, bornite is a sulfide mineral, cuprite is an oxide mineral, and magnesite is a carbonate mineral.
What are the different mineral groups?Scientists mainly classifies the minerals based on their chemical compositions. The Dana Classification System originally defined nine major mineral classes: Native Elements, Sulfides, Sulfates, Halides, Oxides, Carbonates, Phosphates, Silicates, and Organic Minerals.There have been mainly four basic types of mineral formation: (1) igneous, or magmatic, in which minerals form crystals from a melt, (2) sedimentary, in which minerals are produced by a process called sedimentation, which uses fragments of other rocks that have weathered or been eroded as their raw material, and (3) metamorphic.Barite is a sulfate, bornite is a sulfide, cuprite is an oxide, and magnesite is a carbonate mineral.To learn more about minerals refer to :
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Special relativity tells us that A. Different observers must agree on the order in which all events occur. B. Different observers must always agree on the order in which all events happen, but can disagree on whether they happen at the exact same time. C. Different observers must agree on the order events happen if the events occur in the same location. D. Different observers can disagree on the order of events even when the events are causally connected.
The correct answer is B. Different observers must always agree on the order in which all events happen, but can disagree on whether they happen at the exact same time.
Special relativity, as formulated by Albert Einstein, introduced the concept that the order in which events occur is not absolute but can be relative to different observers.
However, there is a fundamental principle in special relativity known as causality, which states that the order of cause and effect must be preserved.
This means that if one event can causally influence another event, all observers must agree on the order of these causally connected events.
However, special relativity also introduced the concept of relative simultaneity, which means that different observers moving relative to each other can have different perceptions of whether two events happen at the exact same time.
This is due to the relativity of time and the fact that the notion of "simultaneity" depends on the observer's reference frame.
Therefore, different observers can disagree on the simultaneity of events, but they must agree on the overall order in which events happen, especially if they are causally connected.
So, option B is correct: Different observers must always agree on the order in which all events happen, but can disagree on whether they happen at the exact same time.
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Two satellites are in circular orbits around Earth. Satellite A has speed vA. Satellite B has an orbital radius nine times that of satellite A. What is the speed of satellite B
Answer:
option B
Explanation:
given,
Satellite B has an orbital radius nine times that of satellite A.
R' = 9 R
now, orbital velocity of the satellite A
........(1)
now, orbital velocity of satellite B
from equation 1
hence, the correct answer is option B
what does the area under a speed-time graph represent
Answer: It represents the whole distance traveled. Hope this helps!
Explanation:
Calculate the average velocity of a car that travels 555 km north east in 3.7 hours
Your answer:
150 kilometer's per hour.
Student A says electric motors use the forces between electromagnets to make something start turning. Student B says electric motors use magnets moving near coils of wire to create a current in the wire. Which student is correct?
Answer:
Student A is correct.
Explanation:
An electromagnet can be defined as the magnet that is produced by the electric current passing through a wire surrounding a metal piece. In an electric motor, magnets surrounds the the coil carrying currents. Because of the magnetic field, the current carrying coil experiences a force and it starts to rotate. Thus the electric motors uses the forces between the electromagnets to start running.
Therefore, student A is correct.
When the environment changes, which
type of organism is most likely to survive?
O One that produces asexually and has
offspring that are genetically
different.
O One that produces sexually and has
offspring that are genetically
different.
o One that produces sexually and has
offspring that is genetically identical.
O One that produces asexually and has
offspring that is genetically identical.
Answer:
one that produces sexually and has genetically different offspring
Explanation:
they can adapt to the new enviornment
Why can't baking soda dissolve in cold water than in warm water?
Answer:
Because the sodium bicarbonate does not separate into sodium, hydrogen, carbon and oxygen
Explanation:
The components of sodium bicarbonate differ in their solubilities in water.baking soda is sodium bicarbonate.
A toy car starts from the rest and accelerates at 1.50m/s2 [E] for 2.25s. What is the final velocity, of the car
3.375m/s is the final velocity of the car.
How do you find final velocity?The final velocity depends on how large the acceleration is and the distance over which it acts.
Initial velocity of an object, you can multiply the acceleration due to a force by the time the force is applied and add it to the initial velocity to get the final velocity.
According to the question,
A toy car starts from the rest and accelerates
So the acceleration = 1.50m/s²
Time = 2.25s
\(x=x_{0} + vt\)
\(x = 0 + ( 1.50m/s^2*2.25s)\)
\(x = 3.375m/s\)
The final velocity, of the car is 3.375 m/s.
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Cooper kicks a football at 12m/s and just clears the goalpost 4 m high and 9 m away. Find the angle of projection through which the football is kicked. Use g = 10m/s^2 and neglect air resistance.
The angle of projection through which the football is kicked is approximately 72.7 degrees.
We can use the kinematic equations of motion to solve this problem. We know the initial velocity of the football, the height it clears, and the horizontal distance it travels. We can use these values to find the angle of projection.
Let's first find the time it takes for the football to reach the goalpost. We can use the equation:
\(y = viy t + 1/2 at^2\)
where y is the vertical displacement, viy is the vertical component of the initial velocity, a is the acceleration due to gravity, and t is the time.
Plugging in the values, we get:
4 m = (12 m/s)sinθ t - 1/2 (10 m/\(s^2) t^2\)
Simplifying and rearranging, we get a quadratic equation in t:
\(-5t^2 + 24t - 24 = 0\)
Solving for t using the quadratic formula, we get:
t = 2.4 s
Now we can use the horizontal distance and the time to find the initial velocity in the horizontal direction:
x = vix t
9 m = vix (2.4 s)
vix = 3.75 m/s
Finally, we can use the initial velocities in the horizontal and vertical directions to find the angle of projection:
tanθ = viy / vix
θ =\(tan^{(-1)} (viy / vix)\)
θ = \(tan^{(-1)\)[(12 m/s) / (3.75 m/s)]
θ = 72.7 degrees (rounded to one decimal place)
Therefore, the angle of projection through which the football is kicked is approximately 72.7 degrees.
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Which statement illustrates how engineering has influenced society?
A. Nuclear power plants provide cheap electricity to power people's
homes.
B. People want the source of their electricity to be provided
responsibly.
C. Nuclear power plants generate power from the energy stored in
atoms.
D. People demand that the cost of powering their homes be more
affordable
Answer:
A
Explanation:
just did took quiz
Nuclear power plants provide cheap electricity to power people's
homes the statement that illustrates how engineering has influenced society, therefore the correct option is A.
What is a nuclear power plant?It is a type of power plant in which the power is generated with the help of a nuclear reactor involving a nuclear which could be either nuclear fission or fusion reaction.
There is an enormous amount of energy generated when a radioactive material goes into a nuclear reaction, this energy is utilized to form steam from the water in the nuclear reactor which is further passed through the turbine to produce the electricity.
As we can see how complex it is to produce electricity from a tiny amount of radioactive material,humanity has come so far to solve complex problems for the betterment of human society.
Science and its application with help of applicative engineering drive the growth of human civilization.
Hence , we can say that nuclear power plants provide cheap electricity to power people's homes the statement that illustrates how engineering has influenced society, therefore the correct option is A.
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- Show the motion of a car that travels
for 30 seconds on a highway at a speed
of 2 km/h, pulls off on the shoulder
and stops for half a minute, and then
resumes its trip at half its previous
speed.
The motion of the car in each interval of time are:
Δt(1) from 0 to 30 s and Δx(1) from 0 to 0.02 km
Δt(2) from 30 to 60 s and Δx(2) from 0.02 to 0.02 km
Δt(3) from 60 to 120 s and Δx(3) from 0.02 to 0.04 km
We know that car has a speed of 2 km/h in 30 seconds, we can use this information to find the distance in this interval of time.
Let's use the definition of speed.
\(v=\frac{\Delta x}{\Delta t}\) (1)
Before finding the distance we need to convert the units of velocity, from km/h to km/s.
\(2\frac{km}{h}*\frac{1\: h}{3600\: s}=5.56*10^{-4}\: km\)
Now we can use the equation (1) and solve it for Δx
\(\Delta x_{1}=v\Delta t\)
\(\Delta x_{1}=5.56*10^{-4}*30\)
\(\Delta x_{1}=0.02\: km\)
Then, the car stops 30 seconds, and finally, it returns its travel at half its previous speed, which means at 1 km/h.
\(1\frac{km}{h}=2.78*10^{-4}\frac{km}{s}\)
We calculate the final distance using \(t_{3} = 60 s\) because the plot shows this value as the maximum interval of time.
\(\Delta x_{3}=2.78*10^{-4}*60=0.02\: s\)
We can resume all the trajectories in the following list.
Δt(1) from 0 to 30 s and Δx(1) from 0 to 0.02 km
Δt(2) from 30 to 60 s and Δx(2) from 0.02 to 0.02 km
Δt(3) from 60 to 120 s and Δx(3) from 0.02 to 0.04 km
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What energy transformation takes place when you push a pencil off your desk? A. Mechanical energy transforms into kinetic energy. B. Potential energy transforms into nuclear energy. C. Potential energy transforms into kinetic energy. D. Kinetic energy transforms into potential energy.
When you push a pencil off your desk, the energy transformation that takes place is that potential energy transforms into kinetic energy.
The correct answer to the given question is option C.
Potential energy is the energy stored within an object because of its position or configuration.
In this scenario, the pencil has potential energy because of its elevated position on the desk. When the pencil is pushed off the desk, it begins to move, which means that it has kinetic energy. Kinetic energy is the energy of motion.
As the pencil falls off the desk, its potential energy is transformed into kinetic energy, which is the energy that results from its motion. The faster the pencil falls, the greater its kinetic energy will be because kinetic energy is directly proportional to the square of an object's velocity.
Therefore, when you push a pencil off your desk, the potential energy that it has because of its elevated position is transformed into kinetic energy as it falls towards the ground.
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max (15 kg) and maya (12 kg) are ice-skating on a frozen pond. when max is standing on the shore, he throws a 1.5-kg snowball at maya, who is standing at the center of the pond. maya catches the snowball and she and the snowball move away from the shore at 2.0 m/s. how fast was the snowball moving right before maya caught it?
The speed of the snowball before Maya caught it was 104 m/s.
According to the law of conservation of momentum, the sum of the initial momenta will be equal to the sum of the final momenta.
Mass of Max = 15 kg
Mass of Maya = 12 kg
Mass of Snowball = 1.5 kg
Now, using the law of conservation of momentum, we have
The momentum of Max + Momentum of Snowball = Momentum of Maya + Momentum of Snowball
Initial Momentum of Max = 0 (as Max is standing on the shore)
The momentum of Snowball = mv (where m is the mass of the snowball and v is the velocity of the snowball)
The momentum of Maya = mv (where m is the mass of Maya and v is the velocity of Maya with snowball)
Final Momentum of Snowball = (m + m) × v
Now putting these values, Initial momentum = 0 + 1.5 × vi = 1.5vi
Final momentum = 15 × u + 12 (2 u) = 39u (where u is the velocity of Maya with snowball after catching)
Initial Momentum = Final Momentum 1.5vi = 39u
We can write u = 2m/s
Thus putting the value of u, we can calculate the initial velocity of the snowball.
vi = u × (39 / 1.5) = 104 m/s
Thus, the speed of the snowball before Maya caught it was 104 m/s.
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A 1.5 kg ball is kicked with an initial velocity of 26 m/s at an angle of 30 degrees above the horizontal. How far did the ball go before returning to the ground? Answer in meters.
ANSWER ASAP!!! I AM GIVING EXTRA POINTS!!!! PLEASSEEE HELP!!!
The maximum height travelled by the ball before returning to the ground is 8.62 m.
What is the maximum height travelled by the ball?The maximum height travelled by the ball before returning to the ground is calculated by applying the following kinematic equation as shown below.
H = (u²sin²θ) / 2g
where;
u is the initial velocity of the ballθ is the angle of projection of the ballg is acceleration due to gravityH = (26² (sin 30)²) / (2 x 9.8)
H = 8.62 m
Thus, the maximum height travelled by a projectile depends on the initial velocity and angle of projection.
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please fast
The system shown in the figure below uses three chain comveyors. Each chain has a hydraulic motor: The torque that drives the motors is T: =1500 N.m
1 T2 =700 Nm and, T3 = 300Nm. The displactment volume of the motors is V01 =1000 cm3/rev V02 =1000 cm3/rev and, V09 =500 cm3 /rex. The motss have a volumetric efficiency of 0.9 and an overall efficiency of 0.85. The leakage of the bydraulic motors 1 and 3 is internal completely and the leakage of the hydraulic motor 2 is external completely. The pump produces a constant volumetric flow rate of 6.3U/min.
The orifice of the flow control valve has a 0.5 mm diameter. The pressure fosses through the pipes are neglected. The capacity coefficient of the needie valve is 07. The volumetric Alow rate through the needle valve is given by: Q=C×A2 ×ΔF/rho where C is the capacity coefficient, A is the area of the orifice, ΔP is the difference of pressure through the needle valve and, rho is the density of the fiuid.
The density of the oil used in the hydraulic system is 860 kg/m3 . Determine the rotational speed of the motor 3 in rpm. a. 8 b. 92 c. 67 d. 42 e. 34 E. 56
The rotational speed of the motor 3 in rpm. b. 92
The figure shows a hydraulic circuit that uses three chain conveyors. The torque that drives the motors is T: =1500 N.m. T2 =700 Nm and, T3 = 300Nm.The volumetric flow rate produced by the pump is 6.3 liters per minute. The displacement volume of the motors is V01 =1000 cm3/rev. V02 =1000 cm3/rev and, V09 =500 cm3/rex.
The motors have a volumetric efficiency of 0.9 and an overall efficiency of 0.85. The leakage of hydraulic motors 1 and 3 is internal completely, while the leakage of hydraulic motor 2 is external completely.The orifice of the flow control valve has a diameter of 0.5 mm. The capacity coefficient of the needle valve is 0.7.
The pressure losses through the pipes are ignored. The volumetric flow rate through the needle valve is Q = C × A2 × ΔP / ρ where C is the capacity coefficient, A is the area of the orifice, ΔP is the pressure difference through the needle valve, and ρ is the density of the fluid. The density of the oil used in the hydraulic system is 860 kg/m3. We need to determine the rotational speed of motor 3 in rpm.
So,Let’s first determine the volumetric flow rate required by hydraulic motor 3. Using the expression of volumetric flow rate through the needle valve, we have Q = C × A2 × ΔP / ρ… (i)We are given that the capacity coefficient of the needle valve is 0.7. Its orifice diameter is 0.5 mm.
Hence, the area of the orifice is given byA2 = π d2 / 4where d is the diameter of the orifice. So, A2 = π × (0.5 mm)2 / 4 = 0.196 mm2 = 1.96 × 10-7 m2Using equation (i), we haveQ = C × A2 × ΔP / ρNow, we will calculate ΔP. To do this, we need to determine the flow rates Q1, Q2, and Q3.Let Q’ be the total volumetric flow rate through the system.
Since the overall efficiency of the system is given as 0.85, we haveQ’ = 0.85 × 6.3 l/min = 5.355 l/min = 5.355 × 10-3 m3/minWe know that the volume of fluid passing through the hydraulic motors is equal to their displacement volume multiplied by the number of revolutions per unit time.So, we haveQ1 = V01 × n1 … (ii)Q2 = V02 × n2 … (iii)Q3 = V03 × n3 … (iv)where V01, V02, and V03 are the displacement volumes of hydraulic motors 1, 2, and 3, respectively.
We are given that V01 = V02 = 1000 cm3/rev and V03 = 500 cm3/rev, which gives V01 = V02 = 1 × 10-6 m3/rev and V03 = 0.5 × 10-6 m3/rev.Substituting equations (ii), (iii), and (iv) in equation (i), we haveQ = C × A2 × (Q1 + Q2 - Q3) / ρSolving for Q3, we getQ3 = (Q1 + Q2 - Q) / C × A2 × ρPutting the given values in the above expression, we haveQ1 = V01 × n1 = (1 × 10-6 m3/rev) × n1Q2 = V02 × n2 = (1 × 10-6 m3/rev) × n2Q3 = V03 × n3 = (0.5 × 10-6 m3/rev) × n3Q = 5.355 × 10-3 m3/min = 5.355 × 10-3 / 60 m3/s = 8.925 × 10-5 m3/sA2 = 1.96 × 10-7 m2C = 0.7ρ = 860 kg/m3
Substituting the above values, we get8.925 × 10-5 = (1 × 10-6 × n1 + 1 × 10-6 × n2 - 0.5 × 10-6 × n3) / (0.7 × 1.96 × 10-7 × 860)Solving for n3, we have n3 = 91.6 rpmSo, the correct option is b. 92.
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When do a 1000kg car and a 2000kg truck have the same momentum
Answer:A 1000 kg car and a 2000 kg truck have the same momentum when the car is travelling at twice the speed of the truck, i.e. 38 m/s.
When a 1000kg car and a 2000kg truck have the same momentum, the speed of 1000 kg car is twice that of the 2000kg truck.
What is momentum?The product of a particle's mass and velocity is its momentum. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.
As a 1000kg car and a 2000kg truck have the same momentum,
1000 kg × v₁ = 2000 kg × v₂
v₁ = 2v₂
Hence, the speed of 1000 kg car is twice that of the 2000kg truck.
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