An 20-cm-long bicycle crank arm, with a pedal at one end, is attached to a 25-cm-diameter sprocket, the toothed disk around which the chain moves.
a cyclist riding this bike increases her pedaling rate from 64 rpm to 95 rpm in 12 seconds .-what is the tangential acceleration of the pedal? -what length of chain passes over the top of the sprocket during this interval?

0.033815 m/s²

12.48810875 m

Explanation:

t = Time taken = 12 s

= Final angular velocity = 95 rpm

= Initial angular velocity = 64 rpm

= Angular acceleration

= Angle of rotation

Tangential acceleration is given by

The tangential acceleration of the pedal is 0.033815 m/s²

Linear displacement would be

Length of chain that passes in the interval is 12.48810875 m

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