A horizontal disk rotates about a vertical axis through its center. Point P is m

Question

A horizontal disk rotates about a vertical axis through its center. Point P is midway between the center and the rim of the disk, and point Q is on the rim. If the disk turns with constant angular velocity, which of the following statements about it are true? (There may be more than one correct choice.)

The linear acceleration of Q is twice as great as the linear acceleration of P. Q is moving twice as fast as P. The linear acceleration of P is twice as great as the linear acceleration of Q. The angular velocity of Q is twice as great as the angular velocity of P. P and Q have the same linear acceleration

Explanation / Answer

The linear acceleration of Q is twice as great as the linear acceleration of P.

because linear acceleration is dv/dt

where v=rw

for Q r is twice as that of P, so dv/dt of Q is twice as that of P

Q is moving twice as fast as P

directly from the fact that Vof Q is rw which is twice that of P r of P is r/2

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