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Question

Question: An athlete throws a discus from rest to a final angular velocity of 15rads-1in 0.270 s before releas...

An athlete throws a discus from rest to a final angular velocity of 15rads-1in 0.270 s before releasing it. During acceleration, discus moves a circular arc of radius 0.810 m. Acceleration of discus before it is released is

A

45 m s-2

B

182 m s-2

C

187 m s-2

D

192 m s-2

Answer

45 m s-2

Explanation

Solution

or ω=0+αt\omega = 0 + \alpha t

or

α=rα=0.81×150.270=45 m s2\therefore \alpha = \mathrm { r } \alpha = 0.81 \times \frac { 15 } { 0.270 } = 45 \mathrm {~m} \mathrm {~s} ^ { - 2 }