A rigid rod of length l rotates about an axis perpendicular to the rod, with one end of the rod fixed to the axis. Which of the following are equal at all points on the rod?
I.The angular position
II.The angular velocity
III.The angular acceleration
IV.The centripetal acceleration
V.The tangential acceleration
A) I and II
B) I, II, and III
C) I, II, III and IV
D) I, II, III, IV and V
E) I, II and IV.

Question

A rigid rod of length l rotates about an axis perpendicular to the rod, with one end of the rod fixed to the axis. Which of the following are equal at all points on the rod? 
I.The angular position
II.The angular velocity
III.The angular acceleration
IV.The centripetal acceleration
V.The tangential acceleration
A) I and II
B) I, II, and III
C) I, II, III and IV
D) I, II, III, IV and V
E) I, II and IV.

Quizplus · Accepted Answer

I, II, and III (the angular position, angular velocity, and angular acceleration) are the same for all points on the rod because these quantities depend on the rotation of the object as a whole, not on any particular point on the object. The centripetal and tangential accelerations, however, vary with the distance from the axis of rotation.

A Rigid Rod of Length L Rotates About an Axis