A wheel of mass 8.0 kg radius 0.20 m starts from rest and rotates about a fixed

Question

A wheel of mass 8.0 kg radius 0.20 m starts from rest and rotates about a fixed axis, accelerating with angular acceleration 2.00 rad/s^2.
Let us consider a point P on the rim of the wheel. At t=2.00 s , find

A) the angular velocity of the wheel ?
B) the speed of point P ?
C) the centripetal acceleration of point P ? D) the net torque on the wheel , assuming it is a uniform disk ( moment inertia of the disk with an axis through the center is MR^2, where R is the radius )?
Answer and show all work ! A wheel of mass 8.0 kg radius 0.20 m starts from rest and rotates about a fixed axis, accelerating with angular acceleration 2.00 rad/s^2.
Let us consider a point P on the rim of the wheel. At t=2.00 s , find

A) the angular velocity of the wheel ?
B) the speed of point P ?
C) the centripetal acceleration of point P ? D) the net torque on the wheel , assuming it is a uniform disk ( moment inertia of the disk with an axis through the center is MR^2, where R is the radius )?
Answer and show all work ! A wheel of mass 8.0 kg radius 0.20 m starts from rest and rotates about a fixed axis, accelerating with angular acceleration 2.00 rad/s^2.
Let us consider a point P on the rim of the wheel. At t=2.00 s , find

A) the angular velocity of the wheel ?
B) the speed of point P ?
C) the centripetal acceleration of point P ? D) the net torque on the wheel , assuming it is a uniform disk ( moment inertia of the disk with an axis through the center is MR^2, where R is the radius )?
Answer and show all work !

Explanation / Answer

A) angular velocity = 2 * 2 = 4 rad/sec

B) speed at point P = 0.20 * 4 = 0.8 m/sec

C) centripetal acceleration = 0.8 * 0.8/0.2 = 3.2 m/sec2

D) net torque =   0.5 * 8 * 0.2 * 0.2 * 2   = 0.32 N.m

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