an 18-cm-long bicycle crank arm, with a pedal at one end, is attached to a 20-cm-diameter sprocket, the toothed disk around which the chain moves. a cyclist riding this bike increases her pedaling rate from 60 rpm to 88 rpm in 15 s. assume constant angular acceleration.

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The angular acceleration of the crank arm is 0.96 rad/s^2

What is angular acceleration?
In physics, angular acceleration is the rate at which angular velocity changes over time. Naturally, there are two types of angular acceleration, referred to as spin angular acceleration as well as orbital angular acceleration, just as there are two types of angular velocity, notably spin angular velocity as well as orbital angular velocity. As opposed to orbital angular acceleration, which is the angular acceleration of the a point particle about a fixed origin, spin angular acceleration describes the angular acceleration of the a rigid body as to its centre of rotation. The unit of measurement for angular acceleration is the angle per unit time squared, and it is typically denoted by the symbol alpha (). When the angular speed changes from increasing counterclockwise to decreasing clockwise in two dimensions, the pseudoscalar known as angular acceleration is assumed to have a positive sign.

The angular acceleration of the crank arm is:
a = (88rpm - 60rpm) / 15s = 0.96 rad/s^2

The angular velocity of the crank arm after 15 seconds is:
ω = 60rpm + (0.96rad/s^2) * 15s = 113.4 rpm

To learn more about angular acceleration
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