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Q.

Number of teeth in front and rear sprocket (tooth wheel) of a bicycle is 50 and 30 respectively. If angular speed of front sprocket is 5 radian per second then find the angular speed of the rear sprocket.

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answer is 8.33.

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Detailed Solution

ω1r1=ω2r2                    ……(i)As separation between teeth remain constant N12πr1=N22πr2              ……(ii)From (i) and (ii)ω1ω2=N2N1 ⇒ω1=5030×5=8.33rad/s
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