The flywheel is rotating with an angular velocity o = 1.56 rad/s at time t = = 0 when a torque is applied to increase its angular velocity. If the torque is controlled so that the angle between the total acceleration of point A on the rim and the radial line to A is equal to 32 and remains constant, determine the angular velocity and the angular acceleration at time t = 0.56 s. Answer: At time t = 0.56s, rad/s rad/s2
Answers
For the given rotating flywheel, the time t = 0.56 s, angular velocity = 1.89 rad/s and angular acceleration = 0.33 rad/s².
The angular velocity of the flywheel at time t = 0 is 1.56 rad/s.
The total acceleration of point A on the rim is given by a.
The angle between the total acceleration of point A on the rim and the radial line to A is equal to 32.
The time at which we have to calculate angular velocity and acceleration is t = 0.56 s.
The formula to calculate total acceleration (a) is given by:
a = Rα
Where
R is the radius of the flywheel
α is the angular acceleration of the flywheel at time t.
We can find the angular velocity (ω) of the flywheel at time t using the formula:
ω = ω0 + αt
where ω0 is the initial angular velocity at time t = 0
The formula to find the angle between the radial line to A and the total acceleration of point A on the rim is given by:
θ = tan^-1 (a/r)
where r is the radius of the flywheel.
The initial angular velocity of the flywheel at time t = 0 is 1.56 rad/s.
So, the initial angular velocity ω0 = 1.56 rad/s. Let's assume the radius of the flywheel is R. The angle between the radial line to point A and the total acceleration of point A on the rim is 32.
So,
θ = 32°
Now,θ = tan^-1 (a/R)32° = tan^-1 (a/R)
Taking the tangent of both sides,
tan(32°) = tan(tan^-1 (a/R))
Using the inverse tangent identity,
tan(32°) = a/R
Multiplying both sides by R, we get
R tan(32°) = a ... (1)
Now, the total acceleration of point A on the rim is given by:
a = Rα
From equation (1), we have
R tan(32°) = Rα
α = tan(32°)
Thus, the angular acceleration of the flywheel at time t = 0 is:
tan(32°) rad/s²
Now, we can calculate the angular velocity of the flywheel at time t = 0.56 s.ω = ω0 + αt
Substituting the given values in the formula, ω = 1.56 + tan(32°) × 0.56ω = 1.56 + 0.32956ω = 1.88956 rad/s
Therefore, the angular velocity of the flywheel at time t = 0.56 s is 1.89 rad/s.
The angular acceleration of the flywheel at time t = 0.56 s is given by the same formula,
α = tan(32°)α = 0.32956 rad/s²Therefore, the angular acceleration of the flywheel at time t = 0.56 s is 0.33 rad/s² (approx). Hence, At time t = 0.56 s, angular velocity = 1.89 rad/s and angular acceleration = 0.33 rad/s².
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Related Questions
\(what \: is \: light \: {?} \)
Answers
Light is a form of electromagnetic radiation with a wavelength which can be detected by the human eye. It is a small part of the electromagnetic spectrum and radiation given off by stars like the sun. Animals can also see light. The study of light, known as optics, is an important research area in modern physics.
Answer:
Light is a form of energy which produces the sensation of sight .hope it is helpful to you
if rain drops of equal size fall with terminal velocity of 0.50m/s. what will be the terminal velocity if the drops collaspe to form a big drop?
Answers
Answer:
0.25m/s
Explanation:
m1v1 =m2 v2. law of conservation the of momentum. since they smash together to form a big drop M2 =2m1
m1*0.50m/s=2m1*v2
V2= m1*0.50m/s÷2m1
V2= 0.25m/s
Birdman is flying horizontally at a
speed of 28 m/s and a height of 87
m. Birdman releases a turd directly
above the start of the field. How far
from the start of the field should the
robot hold the bucket to catch the
turd?
Answers
Answer:
117.88m
Explanation:
We can use the formula [ s = ut + 1/2at^2 ] to solve this problem.
We know that constant acceleration is a = 9/8m/a^2, the initial velocity is 0, and the height is 87 so the only variable we need to solve for is "t".
87 = 0t + 1/2(9.8)(t^2)
t = √174/9.8
t = 4.21s
Now multiply the time by the speed given.
28m/s * 4.21s = 117.88m
Best of Luck!
explain why balancing the forces acting on a body is not enough to establish equilibrium. give an example to justify your answer.
Answers
Balancing the forces acting on a body is not enough to establish equilibrium because forces are not the only factor involved in determining whether or not an object is in equilibrium.
Equilibrium is established when the forces and torques on an object are balanced. There are two types of equilibria: static equilibrium and dynamic equilibrium.
Static equilibrium is when an object is at rest, while dynamic equilibrium is when an object is moving at a constant speed in a straight line. In both cases, the net force on the object must be zero in order to be in equilibrium. In addition, the net torque on the object must also be zero in order to be in equilibrium. This is because torque is a rotational force that can cause an object to rotate around its center of mass.
Example: A ladder leaning against a wall is a good example of a body that is not in equilibrium even though the forces acting on it are balanced. Even though the weight of the ladder and the force of gravity are balanced, the ladder is not in equilibrium because there is a torque acting on it due to the force of friction between the ladder and the ground. This torque causes the ladder to rotate around its center of mass, which can cause it to fall over if the torque is not countered by another force or torque.
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32g of water at 60°C is poured into 60g of cold water at 15°C, which is contained in a
calorimeter of mass 40g, and S.H.C of water is 0.1Jg'K'. Neglecting heat loss show that
the resulting temperature is 29°C.
Answers
Explanation:
Let thermal capacity of the vessel be C' J K-1
Heat energy given by hot water = 40 x 4.2 x (60 - 30) = 5040 J
Heat energy taken by cold water = 50 x 4.2 x (30 - 20) = 2100 J
Heat energy taken by vessel = C' x (30 - 20) = 10 C' J
If there is no loss of heat energy,
Heat energy given by hot water = Heat energy taken by cold water and vessel
or 5040 = 2100 + 10 C'
or 10 C' = 2940
or C'= 294 J K-1
Thus, thermal capacity of vessel = 294 J K-1.
HOPE IT HELPS mark me in brainliest answers please please pleaseTwo small plastic spheres are given positive electric charges. When they are 15.0 cm apart, the repulsive force between them has a magnitude of 0.72. How many electrons had to be reomved frm ne sphere and added to the other to causse an attractive frce bettwen the spheres
Answers
Two small plastic spheres are given positive electric charges. When they are 15.0 cm apart, the repulsive force between them has a magnitude of 0.72.
How many electrons had to be removed from one sphere and added to the other to cause an attractive force between the spheres?The answer is given below:Concept:Charge on an electron, e = 1.6 × 10^-19 C. Coulomb’s law gives the magnitude of the electrostatic force, F, between two charges, q1 and q2, separated by a distance, d. It is given by:F = kq1q2/d2where, k = Coulomb’s constant = 9 × 10^9 Nm^2/C^2.Force, F = 0.72 N, distance, d = 15 cm = 0.15 m. We know that the repulsive force is due to the fact that both charges are positive, meaning both are deficient in electrons. To create an attractive force, electrons from one sphere must be transferred to the other sphere. Let x be the number of electrons transferred, then each sphere acquires an additional charge of -xe.Since the force is attractive, the charges on the spheres are of opposite polarity. Let the charges on the spheres after transferring electrons be q1 and q2 with q1 < 0 and q2 > 0. Then we have:k|q1q2|/d2 = k|(-xe) - (xe)|/d2 = kx2e2/d2 = 0.72 NThe number of electrons transferred to create an attractive force between the spheres is given by:|x| = 1.2 × 10^13
First, we determine the total charge on each sphere.The magnitude of the repulsive force between the spheres is given by:Coulomb's law:$$F=\frac{k q_1 q_2}{d^2}$$$$0.72=\frac{(9\times 10^9)q_1q_2}{(0.15)^2}$$Simplifying the equation:$$q_1q_2=\frac{(0.72)(0.15)^2}{9\times 10^9}$$$$q_1q_2=1.08\times 10^{-11}$$Let the charges on the spheres be $q_1$ and $q_2$ such that $q_1<0$ and $q_2>0$. The difference in charges between the two spheres is given by:$$q_2-q_1=\frac{(0.72)(0.15)^2}{9\times 10^9}$$$$q_2-q_1=1.08\times 10^{-11}$$Add the same number, $x$, of electrons to one sphere and remove $x$ electrons from the other sphere, so the charges on the two spheres become $q_1-xe$ and $q_2+xe$, where $e=1.6\times 10^{-19}$ C is the charge of an electron. The difference in charges between the two spheres after the electrons have been transferred is:$$q_2+xe-(q_1-xe)=q_2-q_1+2xe=1.08\times 10^{-11}+2xe$$The electrostatic force between the spheres after the transfer of electrons is:$$F=\frac{k(q_1-xe)(q_2+xe)}{d^2}$$$$=\frac{(9\times 10^9)(q_1q_2+(q_2-q_1)xe+x^2e^2)}{(0.15)^2}$$Substituting the value of $q_1q_2$ and the difference in charges, $q_2-q_1$:$$0.72=\frac{(9\times 10^9)(1.08\times 10^{-11}+2xe+x^2e^2)}{(0.15)^2}$$Simplifying the equation:$$x^2=3.6\times 10^{22}-2.0\times 10^{13}x$$$$x^2+2.0\times 10^{13}x-3.6\times 10^{22}=0$$Using the quadratic formula:$$x=\frac{-2.0\times 10^{13}\pm \sqrt{(2.0\times 10^{13})^2+4(3.6\times 10^{22})}}{2}$$$$x=-1.0\times 10^{13}\ \text{or}\ x=3.6\times 10^{9}$$The number of electrons transferred to create an attractive force between the spheres is:$|x|=3.6\times 10^{9}$
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FAST PLEASE What is the change in internal energy if 90 J of thermal energy is added to a
system, and the system does 30 J of work on the surroundings? Use AU = Q-
W.
A. -130 J
Answers
Which of the following is a hypothesis?
A. Squid sometimes squirt ink.
B. What is a reason for squid to squirt ink?
C. If a squid is attacked by a predator, it will squirt ink.
D. All of the evidence accumulated by scientists over many years
shows that squid squirt ink to defend themselves.
Answers
Answer:
C
Explanation:
Hypothesis is one of the science methods. Hypothesis is the same as guessing. It's a scientific method that precedes observations.
According to the question asking that Which of the following is a hypothesis ?
The correct option is C which is
If a squid is attacked by a predator, it will squirt ink
It is an hypothesis because there is no experimental evidence to back it up.
a wave that travels from a medium of lower index of refraction to a medium of higher index of refraction undergoes 180° phase changes relative to the incident wave. true false
Answers
The statement given "a wave that travels from a medium of lower index of refraction to a medium of higher index of refraction undergoes 180° phase changes relative to the incident wave." is false because when a wave travels from a medium of lower index of refraction to a medium of higher index of refraction, it undergoes a phase change of 0° or a phase shift of less than 180° relative to the incident wave.
The phase change depends on the refractive indices of the two media and the angle of incidence. In general, when light passes from a less dense medium (lower index of refraction) to a denser medium (higher index of refraction), the wavefronts slow down and bend towards the normal, causing a change in direction but not necessarily a 180° phase change. The amount of phase change depends on the specific conditions of the interface between the two media.
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the two best means of avoiding injury from electrical devices are
Answers
1. Proper Training and Knowledge: The first and most important step in avoiding injury from electrical devices is to receive proper training and knowledge about how to safely operate and handle electrical equipment. It's essential to understand the risks and hazards associated with electrical devices, including the dangers of electric shock and the potential for fire or explosion.
2. Use of Protective Gear and Equipment: Another crucial means of avoiding injury from electrical devices is to use appropriate protective gear and equipment.
This includes wearing rubber gloves and safety glasses when working with electrical equipment, using insulated tools to prevent electric shock, and wearing appropriate clothing to reduce the risk of fire or electrical burns. Additionally, always make sure to use equipment that is properly grounded and to avoid using damaged or frayed electrical cords.
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what is the diffrent between nostre account and vostro account
explane with example related to kurdistan region
Answers
A nostro account and a vostro account are two types of bank accounts used in international transactions. A nostro account is held by a domestic bank in a foreign currency, while a vostro account is held by a foreign bank in the domestic currency.
These accounts facilitate cross-border transactions and provide banks with efficient means to handle international financial operations.
In the context of the Kurdistan region, let's consider a scenario where a local bank, Kurdistan Bank, maintains a nostro account and a vostro account. The nostro account of Kurdistan Bank would be held with a foreign bank, such as a bank in the United States, in US dollars.
This account allows Kurdistan Bank to receive and hold US dollars, which can be used for international transactions with clients or counterparties in the US or other countries using US dollars.
For instance, if a Kurdish company exports goods to the US, the US buyer can transfer payment in US dollars to Kurdistan Bank's nostro account.
On the other hand, Kurdistan Bank may also have a vostro account in a foreign currency, such as the Euro, with a bank located in Europe.
This vostro account allows the European bank to hold funds in Euros on behalf of Kurdistan Bank. It enables the European bank to process transactions in Euros on behalf of Kurdistan Bank's clients who need to make payments or receive funds in Euros, such as importers or exporters in European countries.
A nostro account is a foreign currency account held by a domestic bank, while a vostro account is a domestic currency account held by a foreign bank.
These accounts enable banks to efficiently facilitate international transactions by holding funds in different currencies and providing necessary financial services to clients engaged in cross-border business activities.
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The 25-mph zone is 150 yards long. How much time did the student save (in seconds) by speeding past the school
Answers
Answer:
Time = 12.27seconds
Explanation:
Given
Speed = 25miles/hour
Distance = 150 yards = 150(0.000568182)miles
Distance (in miles) = 0.0852273miles
Get the time
Speed = Distance/Time
Time = Distance/Speed
Time = 0.0852273/25
Time = 0.0034hours
Time = 0.0034 * 3600secs
Time = 12.27seconds
Name the universal force of attraction that exists between masses
Answers
Answer:
The Gravitational force is the answer.
what percentage of earth is covered in snow and ice? a) 5% b) 10% c) 15% d) 20%
Answers
The correct answer is d) 20%. Approximately 20% of the Earth's surface is covered in snow and ice.
What is the percentage of Earth?This includes the polar ice caps, glaciers, and sea ice. The majority of the ice and snow cover is found in the polar regions, where it plays an important role in the Earth's climate and affects global sea levels.
It's worth noting that the amount of ice and snow cover on the Earth's surface is constantly changing due to various factors, including changes in temperature and precipitation, as well as human activities such as deforestation and greenhouse gas emissions.
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Suppose the 1.3 km main span of steel for the Golden Gate Bridge had no expansion joints. How much longer (in meters) would the bridge be for an increase of 70C? It is assumed your answer will be in meters.
αsteel=11x10-6/C
Answers
The bridge increase at 70C is 7.7*\(10^{-11}\) m. when Golden Gate Bridge longer (in meters) would the bridge be for an increase of 70C.
How long are the Golden Gate Bridge's principal cables?With a diameter of little over three feet, 7,659 feet in length, and 27,572 parallel wires, each of the two major cables is composed. The Golden Gate employs the world's longest bridge cables, which at the equator could circle the globe more than three times.
From one end to the other, how far is the Golden Gate Bridge?To cross the Golden Gate Bridge, how long does it take? Walking each direction takes roughly 35 minutes because the bridge is 1.7 miles long.
Change of Length: ΔL= aΔT
[remember that the product of ΔL must then be multiplied by the length of the steel bridge (1.3K)]
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The power in an electrical circuit is given by the equation P= RR, where /is
the current flowing through the circuit and Ris the resistance of the circuit.
What is the power in a circuit that has a current of 0.02 amps and a
resistance of 30 ohms?
Answers
Equation of power in a electrical circuit is given as:
\( \bf P = I^2R\)
I → Current flowing through the circuit.
R → Resistance of the circuit
We need to calculate power when;
Current (I) = 0.02 A
Resistance (R) = 30 Ω
By substituting values in the equation, we get:
\( \rm \longrightarrow P = (0.02)^2 \times 30 \\ \\ \rm \longrightarrow P = 0.0004 \times 30 \\ \\ \rm \longrightarrow P = 0.012 \: W\)
\( \therefore \) Power in the circuit = 0.012 W
What is artificial insemination as used in animal production
Answers
Answer:
i hope this helps!
Explanation:
Artificial Insemination (AI) is an Assisted Reproductive Technology (ART) used worldwide to deposit stored semen directly into a cow or heifer's uterus. It is a tool for improving reproductive performance and genetic quality of livestock.
source: https://nwdistrict.ifas.ufl.edu/phag/2020/05/29/tips-for-successful-artificial-insemination-of-cattle/
A gas cylinder holds 0.36 mol of O2 at 170 ∘C and a pressure of 2.5 atm. The gas expands adiabatically until the volume is doubled.
a. What is the final pressure?
b. What is the final temperature in ∘C?
Answers
a. The final pressure is 1.39 atm.
b. The final temperature is 80.4 °C.
a. How to calculate final pressure?The final pressure can be calculated using the adiabatic expansion equation:
P₂/P₁ = (V₁/V₂)^(γ)
where P₁, V₁, and P₂, V₂ are the initial and final pressures and volumes, respectively, and γ is the adiabatic index, which is 1.4 for diatomic gases like O2.
Substituting the given values, we get:
P₂/2.5 atm = (1/2)^(1.4)
P₂ = 1.39 atm
Therefore, the final pressure is 1.39 atm.
b. How to calculate final temperature?The final temperature can be calculated using the adiabatic expansion equation:
T₂/T₁ = (V₁/V₂)^(γ-1)
Substituting the given values, we get:
T₂/443.15 K = (1/2)^(0.4)
T₂ = 353.4 K
Therefore, the final temperature is 80.4 °C.
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which type of thermal energy trnasfer dose a foil wrapping reduce the most
Answers
Answer:
Conduction
Explanation:
Hope this helps :)
pls make brainliest :p
An object has an acceleration of 6 m/s/s. If the net force
was tripled and the mass were halved, then the new
acceleration would be m/s/s.
Answers
Answer:
\(F = ma \\ a = \frac{F}{m} = 6 \\ when \: force \: is \: trippled \: and \: mass \: is \: halved \\ a = \frac{3F}{ \frac{1}{2} m} = \frac{3}{2} \times 6 \\ a = \frac{(3 \times 6)}{2} \\ a = \frac{18}{2} \\ a = 9 \: m {s}^{ - 2} \)
25. A wave has a frequency of 46 Hz and a wavelength of 1.7 meters. What is the speed of this wave?
Answers
Answer:
78.2 m/time
Explanation:
Wavelength =Speed/Frequency
Speed = 46 x 1.7 =78.2 m/time.
The_____
something is pushed, the farther it will go.
Answers
Answer:
Harder
Explanation:
The more force that is exerted on an object the greater the resulting velocity. Using Newton’s 2nd law:
Force = Mass x Velocity
we can derive for Velocity to show that
Velocity = Force/Mass
So, the more force on an object (of any mass) the greater the velocity.
hope that helps :)
How far can a person run in 15 seconds if she runs at an average speed of 160 cm/s? State your answer in meters.
Answers
Answer: distance = 24 meters
Explanation:
speed = distance / time
distance = speed x time
speed = 160 cm/s = 1.6 m /s [ 100 cm = 1 m, 160 cm = 1.6 m ]
time = 15 s
distance = 1.6 m/s x 15 s = 24 m
you don't have to work anything out PLEASE JUST READ IT
Answers
Answer:
I think it's D
Explanation:
I don't know I just think
____ pushed gas and dust particles out of the solar nebula by the light from the sun.
Answers
Solar radiation pressure pushed gas and dust particles out of the solar nebula by the light from the sun.
The radiation pressure from the intense light of the newly formed sun pushed gas and dust particles out of the solar nebula, creating a void in the center which eventually led to the formation of the planets.
Scientists theorise that the solar system was created when a cloud of gas and dust in outer space was disturbed, possibly by the explosion of a nearby star (known as a supernova). The gas and dust cloud was compressed by the waves created by the explosion in space.
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the unit of acceleration is derived unit why
Answers
Answer:
Mass is a base unit, acceleration is a derived unit calculated as a function of length and time which are both base units. Any unit definition that is a function of more basic units is considered a derived unit.
The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the ball’s center and has magnitude 4.0×10^2n/c. How much charge is on the surface of the ball?
Answers
The charge on the surface of the copper ball is approximately 4.444 × 10^-10 C, as the electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm.
To calculate the charge on the surface of the copper ball, we can use the relation between the electric field and charge. The electric field at a distance r from the center of a conducting sphere is given by the equation E = kQ/r^2, where E is the electric field, k is the electrostatic constant (approximately 9.0 × 10^9 Nm^2/C^2), Q is the charge on the surface of the sphere, and r is the distance from the center.
In this case, the electric field magnitude is given as 4.0 × 10^2 N/C,
and the distance from the center of the ball is 10.0 cm (or 0.10 m).
Rearranging the equation, we have Q = Er^2/k.
Substituting the given values into the equation, we get Q = (4.0 × 10^2 N/C) × (0.10 m)^2 / (9.0 × 10^9 Nm^2/C^2).
Evaluating this expression, we find that the charge on the surface of the ball is approximately 4.444 × 10^-10 C.
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The demand for a necessity such as electricity tends to be: inelastic. vertical. unit elastic. D elastic.
Answers
The demand for a necessity such as electricity tends to be inelastic. Here's why:Inelastic demand is when changes in price don't affect the quantity demanded as much.
Necessities such as food, water, and electricity often have an inelastic demand, meaning that when the price of the product increases, the quantity demanded does not decrease as much.Explanation:For example, if the cost of electricity increased by 10%, a household might not be able to decrease its use of electricity as much, such as by 10%. The amount of electricity that a household uses might not be affected by price changes because it's a necessity.A vertical demand curve implies that a change in price results in no change in quantity demanded.
Unit elastic refers to a change in price that results in a proportional change in quantity demanded.D elastic refers to the degree of price sensitivity. Demand is said to be elastic when a price change causes a substantial change in demand.
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A red blood cell is 7 x 10-6 m in size. This means it is 7 __________ in size. What unit completes the sentence?
Answers
If a red blood cell is 7 x \(10^-^6\) m in size, it means that such a cell is 7 microns or micrometer in size. The unit that completes the sentence will, thus, be microns or micrometer.
According to international system of measurement:
\(10^{-1}\) m = decimeter\(10^{-2}\) m = centimeter\(10^{-3}\) m = millimeter\(10^{-6}\) m = micrometer or micron\(10^{-9}\) m = nanometerThus, a measurement of 7 x \(10^-^6\) m is the same is 7 micons or 7 micrometer.
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ASAP! HELP!
A 66.4 kg person sits on the right end of a seesaw, 2.35m from the fulcrum. On the other end, how far from the fulcrum should a 84.2kg person sit to balance the seesaw?
1: 1.92 m
2: 1.85m
3: 2.08m
4: 1.61 m
Answers
Answer:
2. 1.85
Explanation:
the equations weight * distance / other persons weight = distance from fulcrum. so 66.4*2.35/84.2=1.8532 round down to 1.85