A disk is initially spinning about a xed axis and slowing down with constant ang

Question

A disk is initially spinning about a xed axis and slowing down with constant angular acceleration . It comes to rest in time t.Through what angle does it turn before coming to rest?

1. = (0) t +1/2 t2

2. =(0)t2

3. = (0) t t2

4. None of these

5. = t2

6. Since (0) is not given, the problem hasno solution.

7. =[(0)]2/2

8. = t

9. =1/2 t2

Explanation / Answer

We know that           = o + t Here = -          = 0 ==>          o = t According to rotational motion , equation for constant acceleration                      = o t + 0.5 t2                         = t * t + 0.5 (-) t2                         = t2 / 2 Therefore your answer is                     = t2 / 2        (option 9)

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