When a force of 20 N is applied to the edge of a wheel that has a radius of 20 cm, it starts rotating. The angular acceleration of the wheel is 0.75 rad/s².Let's see what this means. When a force is applied to an object, it will move, but the movement may not be in the same direction as the force.
If the force is applied at an angle to the object's center of mass, the object will rotate instead of moving in a straight line.The rate at which the rotation occurs is referred to as angular velocity, and it is denoted by the Greek letter omega (ω). Angular acceleration is the rate at which an object's angular velocity changes over time. It is denoted by the Greek letter alpha (α).Using the formula, we can figure out the wheel's angular velocity and how long it takes to reach that velocity. Here's how to go about it:τ = Iα where τ is the torque, I is the moment of inertia, and α is the angular acceleration.We can rearrange this formula to find angular acceleration:
α = τ / I
where α is the angular acceleration, τ is the torque, and I is the moment of inertia.The moment of inertia of a disc (wheel) is ½ MR², where M is the mass and R is the radius. We can determine the torque by multiplying the force by the radius of the wheel, which is 20 cm or 0.2 meters:
τ = F × r
= 20 × 0.2
= 4 NmThe moment of inertia of the wheel is:
I = ½ MR²
= ½ (M × 0.2²)
= 0.02MUsing these values, we can now find the angular acceleration:α = τ / I = 4 / 0.02M
= 200 / M rad/s²If the angular acceleration of the wheel is 0.75 rad/s², we can use this formula to figure out how long it will take to reach that acceleration.t = ω / αwhere t is time and ω is angular velocity.The wheel starts from rest, so its initial angular velocity is zero. Using this formula, we can solve for the time
t = ω / α
= 0.75 / 0.2
= 3.75 seconds.It will take 3.75 seconds for the wheel to reach an angular acceleration of 0.75 rad/s².
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A diver with a mass of 85 kg falls off of a high dive 12 m in the air. Calculate the velocity when he is 5m from hitting the water?
The velocity of the diver when he is 5 m from hitting the water is 10.7 m/s. We can solve this problem using the conservation of energy.
Who established the law of energy conservation?The Law of Conservation of Energy was discovered in 1842 by Julius Robert Mayer. It is now known as the First Law of Thermodynamics, which states that energy neither creates nor destroys itself.
PE = mgh\
where:
m = mass of the diver = 85 kg
g = acceleration due to gravity = 9.81 m/s^2
h = height of the dive = 12 m
\(PE = (85 kg) *(9.81 m/s^2) * (12 m) = 9997.8 J\)
As the diver falls, the potential energy is converted into kinetic energy given by:
\(KE = (1/2)mv^2\)
When the diver is 5 m from hitting the water, his potential energy has decreased to:
\(PE = (85 kg) * (9.81 m/s^2) * (12 m - 5 m) = 6419.5 J\)
Since the total energy is conserved, we can equate the potential and kinetic energies at this point:
PE = KE
\(6419.5 J = (1/2) * (85 kg) * v^2\)
Solving for v, we get:
\(v = \sqrt(2 * 6419.5 J / 85 kg)\\= 10.7 m/s\)
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please answer this question
Answer:
11.a) Car B is faster than Car A. This is because Car B covers more distance in less time, whereas Car A covers less distance in more time. Now, as we know that distance is directly proportional and time is inversely proportional to speed. In Car B, a larger distance and less time and a smaller distance and more time in Car A, indicates that the speed of Car B is more than the speed of Car A.
b) Car B accelerates faster than Car A. We know that, the acceleration is directly proportional to the change in linear velocity and inversely proportional to time taken. Here, The overall journey of Car B is short, whereas for Car A, it's longer. Also, as previously mentioned that the final speeds of Car B is more than Car A [remembering that both Cars start from the origin(rest)]. Hence, the change of velocity in Car B is more than Car A. Hence so.
what is the measure of apb if the measure of arc ab is 130
If the measure of arc AB is 130 degrees, the measure of angle APB is half of that since the angle subtended by an arc at the center of a circle is twice the angle subtended at any point on the circumference. Therefore, the measure of angle APB would be 65 degrees.
When dealing with a circle, the measure of an angle formed by two intersecting lines is related to the measure of the arc intercepted by those lines. In this case, the measure of arc AB is given as 130 degrees.
According to the inscribed angle theorem, an inscribed angle is equal to half the measure of its intercepted arc. Therefore, the angle APB, formed by lines AP and BP, will have a measure equal to half of the measure of arc AB.
Since arc AB measures 130 degrees, we can calculate the measure of angle APB by dividing 130 by 2, resulting in 65 degrees. Thus, the measure of angle APB is 65 degrees.
This relationship between arcs and angles is based on the properties and geometry of circles. By understanding these principles, we can determine the measures of angles based on given arc measures and vice versa.
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The steering wheel of a car has a radius of 36 cm, and part of rest with an acceleration of 1.8m / s. Determine
a) The angular speed after 10s
b) The number of turns the wheel gave in 10s
Answer:
a) 50 rad/s
b) 39.8 rev
Explanation:
Given:
r = 0.36 m
v₀ = 0 m/s
a = 1.8 m/s
t = 10 s
a) Find: ω
v = at + v₀
v = (1.8 m/s) (10 s) + (0 m/s)
v = 18 m/s
ω = (18 m/s) / (0.36 m)
ω = 50 rad/s
b) Find: Δθ
Δx = v₀ t + ½ at²
Δx = (0 m/s) (10 s) + ½ (1.8 m/s) (10 s)²
Δx = 90 m
Δθ = (90 m) / (2π × 0.36 m)
Δθ = 39.8 rev
Which of the following would cause a fan cart to accelerate the least?
- doubling the speed of the fan
- pointing the fan exhaust downward
- tripling the speed of the fan
- pointing the fan exhaust upward
Answer:
The correct option is;
-Pointing the fan exhaust upward
Explanation:
The fan cart transfers reaction force from the jet of air it blows through the exhaust into motion in the opposite direction of the jet. By pointing the fan exhaust upwards, the direction of motion of the cart is therefore, into the ground. Due to the solid nature of the ground the motion is resisted, and by Newton's first law of motion, a body will remain in motion unless resisted by a force. In the case of the question, the ground is resisting the motion of the cart and the cart will remain at rest and having zero acceleration.
A 969 n sky diver has opened his parachute to slow his descent to a constant speed the parachute applies 1,323 n of force. what deceleration does he experiences
Answer:
See below
Explanation:
Find mass of skydiver
F = mg
969 = m ( 9.81) so m = 98.8 kg
NET deccel force = 1323-969 = 354 N
F=ma
354 = 98.8 (a) = 3.58 m/s^2 decceleration
Calculate the kinetic energy in joules of a ball of mass 40g moving at a velocity of 4 metres per second
A car started its motion from rest and accelerated for 7 seconds, with the acceleration of 3 m/s2. Then it was moving with a constant velocity for 8 seconds. What was the velocity of the car after 7+8 seconds?
PLEASE HELP ME
Answer:
Kejlshkdhh4hrbrldbd
why is the weight of a body more at the pole than at the equator of the earth ??
And according to newtons second law
Force=Mass×Acceleration
And
\(\\ \sf\longmapsto F\propto a\)
Hence force varies directly with acceleration hence weight will be more .\(\boxed{ \rm \green{ Answer:-}}\)
At equators,the radius of the earth is the greatest at the poles whereas at the equator,it is the least.
Due to this the value of g is greatest at poles and least at the equator of the earth.
Therefore,a body weight more at the poles and less at the equator of the earth.
Which has the greater mass?
a. king-size pillow
b. automobile battery
c. both about the same
Automobile battery has more mass than a king-size pillow. Compared to the batteries, the king-size pillow has a larger volume but less mass.
It takes more effort to set an automobile battery in motion. This demonstrates the battery's higher inertia and hence higher mass. Inertia is the ability of a moving object to resist changes in motion. An object's mass affects how much inertia it possesses.
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Jin graduated from college with a degree in zoology, or the study of animals. What company in the STEM career cluster might be interested in hiring Jin?
(A) An online gaming company looking for a developer.
(B) A large aquarium in need of a marine scientist.
(C) A college looking for a professor of mathematics.
(D) A nuclear plant in need of an engineer.
Answer:
b
Explanation:
it is the only one that has to do with animals
Answer:
The answer is B
Explanation:
A soccer player strikes a soccer ball with a force of 550 N. If the player and the ball remain in contact for 0.03 s. What impulse was delivered to the ball by the player?
3. from your observations, what can you conclude about the polarity of the compass; specifically, what is the polarity of the red end ( "north" or "south" ) and the white end of the compass?
The red end of the compass points towards the Earth's magnetic north pole (polarity: "north"), while the white end points towards the Earth's magnetic south pole (polarity: "south").
Based on observations, the polarity of the compass needle can be determined by its response to Earth's magnetic field. The red end of the compass needle is typically marked as the north-seeking end, indicating that it points towards the Earth's magnetic north pole. Conversely, the white end of the compass needle is considered the south-seeking end, indicating that it aligns with the Earth's magnetic south pole.
The Earth has a magnetic field that is generated by the movement of molten iron in its outer core. This magnetic field creates an invisible force that aligns magnetic objects, such as compass needles, with the Earth's magnetic field lines. The Earth's magnetic north pole is located near the geographic North Pole, but it is important to note that the magnetic and geographic poles do not coincide.
When a compass is placed on a level surface, the needle aligns itself parallel to the Earth's magnetic field, with the red end pointing towards the magnetic north pole and the white end pointing towards the magnetic south pole. This alignment allows the compass to be used as a navigational tool, helping determine directions such as north, south, east, and west.
It's worth mentioning that while the red end of the compass is conventionally marked as north, the actual color of the needle can vary among different compass designs. The key is to understand the polarity of the needle, where the end pointing north indicates the magnetic north pole and the opposite end indicates the magnetic south pole.
In summary, the observations of a compass indicate that the red end points towards the Earth's magnetic north pole, representing a polarity of "north," while the white end points towards the Earth's magnetic south pole, representing a polarity of "south."
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Is this conversion correct?
11.3g/ cm^3 to kg/ m^3
Since 1000 g = 1 kg and 100 cm = 1 m
Therefore, (11.3 x 1000)/ 100
= 113 kg/ m^3
11.3 g/cm³ equals to 1130 kg/m³.
What is density?The mass of a substance per unit of volume is its density. Density is most frequently represented by the symbol ρ, however Latin letter D may also be used. Density is calculated mathematically by dividing mass by volume.
Given that 11.3 g/cm³.
Know that
1000 grams = 1 kg
1 grams = 1/1000 kg.
100 cm = 1 m
1 cm = 1/100 m.
Therefore, 1 cm³ = (1/100)³ m³
= 1/1000000 m³
Hence, 1 g/cm³ = (1/1000) ÷ (1/1000000) kg/m³
= 1000000/1000 kg/m³
= 1000 kg/m³.
Hence, 11.3 g/cm³ = (11.3 × 1000) kg/m³
= 1130 kg/m³
Hence, 11.3 g/cm³ equals to 1130 kg/m³.
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what is 14 x 98/12+13-8?
Answer:
14 x 98/12+13-8 = 119.33..
the .33.. is a repeating decimal
is uniform circular motion taking place at a constant speed or constant velocity? why?
Answer:
The uniform circular motion has a constant speed only but not constant velocity . Because the velocity changes its direction at every point of its path.
Explanation:
just look it up :)
The conversion of ozone to diatomic oxygen is represented by the equation above. Based on the data in the table above, what is the approximate average bond enthalpy for the oxygen-to-oxygen bonds in ozone?.
The approximate average bond enthalpy for the oxygen-to-oxygen bonds in ozone is 300 kJ/mol. The ozone is composed of three oxygen atoms, and it's highly reactive.
What is ozone?Ozone is a light blue-colored gas, that is highly soluble in an inert, non-polar solvent.
\(2O_3 \rightarrow 3O_2 \\\\ \Delta H = -300 KJ/mol\)
There are double bonds present in the ozone, two molecules of ozone mean there will be four bonds.
\(4 \times E -3 \times 500 = -300\\\\4 \times E = -300 + 1500\\\\E = \dfrac{1200}{4} \\\\E = 300 \;KJ/mol\)
Thus, the correct option C, 300 kJ/mol.
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which are cardiovascular drug classes? select all that apply
Cardiovascular drug classes are Beta-blockers, Diuretics, Calcium channel blockers, and ACE inhibitors. The correct answer is options are A, B, D, and F.
Cardiovascular drug classes refer to categories of medications specifically designed to treat conditions related to the cardiovascular system. These medications target various aspects of cardiovascular health, such as blood pressure regulation, heart rhythm management, and the prevention of clot formation. Several recognized cardiovascular drug classes include:A) Beta-blockers: These drugs block the effects of adrenaline on the heart and blood vessels, reducing heart rate and blood pressure.B) Diuretics: Also known as water pills, diuretics help eliminate excess fluid from the body, reducing fluid buildup and decreasing blood pressure.D) Calcium channel blockers: These medications relax and widen blood vessels, improving blood flow and reducing blood pressure. They also help regulate heart rate.F) ACE inhibitors: ACE (angiotensin-converting enzyme) inhibitors lower blood pressure by blocking the production of a hormone that narrows blood vessels.Therefore, the correct options for cardiovascular drug classes are A) Beta-blockers, B) Diuretics, D) Calcium channel blockers, and F) ACE inhibitors. These medications play crucial roles in managing cardiovascular conditions and promoting overall heart health.For more questions on the cardiovascular system
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The correct question would be as
Which of the following are cardiovascular drug classes? Select all that apply.
A) Beta-blockers
B) Diuretics
C) Antibiotics
D) Calcium channel blockers
E) Antidepressants
F) ACE inhibitors
A spring with spring constant 58N/cm is stretched 4cm. How much force is it applying
Answer:
232 N
Explanation:
By Hooke's law, the force applied to a spring is proportional to the stretch of the spring, so
F = kx
Where F is the force, k is the spring constant and x is how much it is stretched.
So, replacing k by 58N/cm and x by 4 cm, we get
F = (58 N/cm)(4 cm)
F = 232 N
Therefore, the force applied is 232 N
(ii) Let R be a rotation and S be a reflection of the euclidean plane E. Give a precise deion of RS, relating it to the classification of isometries of E². Be careful of special cases.
RS is a composition of rotation and reflection in the Euclidean plane E². The precise description of RS depends on the specific properties of the rotation R and reflection S.
In general, if R and S have the same axis or line of symmetry, the composition RS results in a translation. If R and S have intersecting lines of symmetry, RS yields a glide reflection. If R and S have perpendicular lines of symmetry, RS produces a rotation.
It is important to consider special cases, such as parallel lines of symmetry, coinciding axes, or perpendicular lines of reflection, as they may lead to different outcomes. The classification of isometries in E² involves understanding how rotations and reflections combine to create different transformations in the plane.
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a big summer movie has a running time of 96 minutes what is the movie's running time in seconds
Answer:
5,760
Explanation:
1 minute is equal to 60 seconds. so you will multiply 60 times 96. and that equals 5,760
please help me with my question I will like and mark as brainliest
Answer:
E(nergy) = 8 V * 6A * 300 sec = 14400 joules
14400 J / 4.19 J/cal = 3437 cal
Q = k m T = k 2000gm * 8 deg C = 16000 k gm-deg C
k = 3437 / 16000 = .215 cal / (gm-deg C)
What do the key results indicate?
Answer:
A key result is an important output that then becomes an input to the next key result area, or to the next person. For example, in selling, a key result area is prospecting—finding new, qualified, and interested prospects to talk to about your product or service.
hope this helps!
Explanation:
The Earth’s ________________ on its ________ causes day and night.
Answer:
1. rotation. 2. axis
Explanation:
The Earths rotation on its axis causes day and night
everything is perished.........(is it,isn't it, aren't they, are they
Answer:
everything is perished isn't it?
hope it helps.
Answer:
isn't it is the answer of your question
hope it is helpful to you
urgent please
A mason dropped a block of weight 30N onto a trolley of mass 6kg when it was moving at a velocity of 2m/s. Determine the velocity of the trolley thereafter if the block remains on it. (2marks) (Take g = 10N/kg)
The velocity of the trolley system with the block in it is 1.33 m/s.
Weight of the block, W = 30 N
Mass of the block, m = W/g
m = 30/10 = 3 kg
Mass of the trolley, M = 6 kg
Initial velocity of the trolley, u = 2 m/s
According to law of conservation of momentum,
In an isolated system, when two objects collide, the combined momentum before and after the collision is constant. Due to the fact that the momentum gained by one object equals the momentum lost by another, this occurs.
So, the momentum of the trolley system before and after dropping the block to it are equal.
Mu = (M + m)v
Therefore, the velocity of the trolley system with the block in it,
v = Mu/(M + m)
v = 6 x 2/(6 + 3)
v = 12/9
v = 1.33 m/s
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It is required to produce 100 Kgs. Of a Cu-Ni alloy that has a minimum resistance (permissible stress-yield), of 25,000 psi, stress. minimum.-68,000 psi tensile strength. and elongation min. of 22%. I
To produce a Cu-Ni alloy with a minimum resistance (permissible stress-yield) of 25,000 psi and a tensile strength of 68,000 psi, while ensuring a minimum elongation of 22%, 100 kgs of the alloy will be required.
The required Cu-Ni alloy must meet specific mechanical properties. The minimum permissible stress-yield is set at 25,000 psi, which indicates the maximum stress the alloy can endure while maintaining a permanent deformation of less than 0.2%. This property ensures the alloy's stability under normal operating conditions.
Furthermore, the alloy needs to possess a tensile strength of at least 68,000 psi, which represents the maximum stress it can withstand before fracturing. This property ensures the alloy's structural integrity and prevents failure under high-stress situations.
Additionally, the alloy must exhibit a minimum elongation of 22%, which measures its ability to deform plastically without breaking. This property is crucial for applications where the alloy may experience bending or stretching forces.
To fulfill these requirements, a total of 100 kgs of the Cu-Ni alloy needs to be produced, ensuring that the specified mechanical properties are met throughout the entire batch.
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When you're super tired and you lose energy, what energy are you actually losing?
I said Physics class, but it's really for Science class.
Answer:
it is chemical energy
Explanation:
that is the energy used by our body, so it is the one that we will loose. and the energy that we gain is also chemical energy
A person walking in high heals can damages the floor by making small dimples in the
floor since all their weight is concentrated on the tip of the high heal. It the person
weighs 81 kg and the high of the tip of the high heal is 3.5 cm2, what is the force over
the floor?
SHOW WORK IF POSSIBLE TANKS A LOT
Answer:
2 314.28571 kg / m
Explanation:
divide
and you see
What's the name of the compound Cal2?
Answer:
The correct answer is calcium iodide.
Explanation:
Hope this helped Mark BRAINLIEST!!!
The compound with the chemical formula CaI₂ is called calcium iodide.
A compound is a substance formed when two or more elements chemically combine in specific proportions. It is characterized by a distinct chemical composition and properties that differ from the elements it is composed of. Compounds are held together by chemical bonds, which can be either ionic or covalent, depending on the nature of the elements involved.
Calcium Iodide (CaI₂):
Calcium iodide is an ionic compound composed of the elements calcium (Ca) and iodine (I). In this compound, calcium, which is a metal, donates two electrons to iodine, a non-metal, resulting in the formation of a calcium ion (Ca²⁺) and two iodide ions (I⁻). The ions are held together by electrostatic forces of attraction, forming a crystal lattice structure.
Calcium iodide is a white, crystalline solid that is highly soluble in water. It is commonly used in various applications, including as a catalyst in organic reactions, a source of iodine for nutritional supplements, and in the synthesis of pharmaceuticals.
Therefore, The correct answer is Calcium Iodide.
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