Question

One of the choices below increases the magnitude of the acceleration of a point on a...

One of the choices below increases the magnitude of the acceleration of a point on a spinning wheel by a factor of 4. Don NOT assume that the wheel is spinning at a constant speed.

A) The magnitudes of the angular velocity and the angular acceleration are each multiplied by a factor of 4

B) The magnitude of the angular velocity is multiplied by a factor of 4 and the angular acceleration is not changed

C) The magnitudes of the angular velocity and the angular acceleration are each multiplied by a factor of 2

D) The magnitude of the angular velocity is multiplied by a factor of 2 and the angular acceleration is not changed

E) The magnitude of the angular velocity is multiplied by a factor of 2 and the magnitude of the angular acceleration is multiplied by a factor of 4.

Professor told us the answer was E, please explain why and be detailed please.

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Answer #1

Magnitude of acceleration is the magnitude of the vector sum of tangential and centripetal acceleration.

Option E says anglular velocity is doubled and angular acceleration is made 4 times.

When angular velocity is made twice the velocity becomes twice since the radius cannot be changed.

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