On a bike, a metal chain connects the front gear sprocket to the rear gear sprocket so that the back wheel can rotate as you pedal. Suppose the front gear sprocket of your bike has a radius of 11 cm and the rear gear sprocket has a radius of 2.5 cm. As you pedal, starting from rest, the front sprocket accelerates with a constant 8.0 rad/s² angular acceleration for 2.5 revolutions. What is the angular velocity of the rear gear sprocket after the 2.5 revolutions?
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5 revolutions. Given: Radius of front gear sprocket (capital r) = 11 cm Radius of rear gear sprocket (small r) = 2.5 cm Angular acceleration (alpha) = 8.0 rad/s^2 Number of revolutions (theta) = 2.5 Using the equation: omega_f^2 = 2 * alpha * theta omega_f = Show more…
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