7. A CD starts from rest and speeds up to some final angular velocity in 2 secon

Question

7. A CD starts from rest and speeds up to some final angular velocity in 2 seconds. Point A is on the outer rim of the CD, while point B is near the inner edge of the CD. At some moment during those first two seconds, which is true? A) A has a larger angular acceleration and a larger radial acceleration than point B. B) A has a larger angular acceleration but t C) A has the same angular acceleration but a smaller radial acceleration than point B D) A has the same angular acceleration but a larger radial acceleration than point B E) A has a smaller angular acceleration and a smaller radial acceleration than point he same radial acceleration as point B B.

Explanation / Answer

Radial acceleration is given by:

ac = mv2/R

So, ac is inversely proportional to R. More the distance from the center, less is ac. So point A has smaller radial acceleration ac than B.

Even angular acceleration is inversely proportinal to distance from the center. So A has lesser angular acceleration than B.

So:

Ans: E

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