Iexamine the same second hand on the clock. again, there are two points called a and b on the clock, with a farther from the center than b. which of the following is true?
a. point a has a higher angular acceleration about the center than point b.
b. point a has a lower angular acceleration about the center than point b.
c. the angular acceleration for both points is 0.
d. none of the above.

I examine the same second hand on the clock. Again, there are two points called A and B on the clock, with A farther from the center than B. "The angular acceleration for both points is 0" is true.

Option C

Explanation:

The clock is in rotator motion. All the three hands of clock, move in same direction, but different speeds. And hence, we count hours, minutes and seconds.  And, when we take each hand, they move related to the centre of the clock, where all the three are attached.

So, there is a centripetal acceleration which depends upon the velocity.  But, the motion is uniform everywhere in the circle. The hands have no tangential acceleration. And hence, there is no angular acceleration, which is derived from tangential one. So, at any point, the angular acceleration is zero.