- #1

fattydq

- 79

- 0

A) 4*alpha

B) 2*alpha

C) alpha/2

D) alpha/4

Wouldn't it be 4 times, since the diameter is now four times as large?

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- Thread starter fattydq
- Start date

In summary, when a string is wrapped around the outer rim of a solid uniform cylinder and pulled with a force P tangent to the rim, it gives the cylinder an angular acceleration alpha. If the cylinder had twice the radius, but everything else was the same, the angular acceleration would be 2*alpha.

- #1

fattydq

- 79

- 0

A) 4*alpha

B) 2*alpha

C) alpha/2

D) alpha/4

Wouldn't it be 4 times, since the diameter is now four times as large?

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- #2

Mark44

Mentor

- 37,757

- 10,120

If the radius is doubled, the diameter is also doubled, not quadrupled.

- #3

fattydq

- 79

- 0

Oh right, haha. So would it just be 2*alpha or is this a trick question?

Angular acceleration is the rate of change of angular velocity of a rotating object. It is measured in radians per second squared (rad/s²).

Angular acceleration refers to the change in rotational speed of an object, while linear acceleration refers to the change in linear speed. Linear acceleration is measured in meters per second squared (m/s²).

Angular acceleration in a solid uniform cylinder is caused by an external force acting on the object, such as a torque or a moment of inertia. This force causes the object to rotate and therefore change its angular velocity.

Yes, angular acceleration can be negative. A negative angular acceleration means that the object is slowing down in its rotation, while a positive angular acceleration means that the object is speeding up in its rotation.

The formula for calculating angular acceleration of a solid uniform cylinder is: α = τ / I, where α is the angular acceleration, τ is the torque acting on the object, and I is the moment of inertia of the cylinder.

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