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Linear speed of a bicycle chain and centripetal acceleration

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The front and rear sprockets on a bicycle have radii of 9.00 and 5.10 cm, respectively. The angular speed of the front sprocket is 8.00 rad/s.

(a) Determine the linear speed (in cm/s) of the chain as it moves between the sprockets and

(b) Determine the centripetal acceleration (in cm/s2) of the chain as it passes around the rear sprocket.

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I have found the linear speed of the chain in a bicycle and the centripetal acceleration of the back wheel. Each step is clearly shown.

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