12_P03InstructorSolution

# 12_P03InstructorSolution - 12.3 Model Visualize Solve...

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12.3. Model: Assume constant angular acceleration. Visualize: Solve: (a) Since , t a r α = find α first. With 90 rpm 9.43 rad/s = and 60 rpm 6.28 rad/s, = 2 9.43 rad 6.28 rad/s 0.314 rad/s 10 s t ω α Δ = = = Δ The angular acceleration of the sprocket and pedal are the same. So ( ) ( ) 2 2 0.18 m 0.314 rad/s 0.057 m/s t a r α = = = (b) The length of chain that passes over the sprocket during this time is
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