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July 30, 2014

July 30, 2014

Posted by **Maggie** on Tuesday, October 30, 2012 at 7:18pm.

- Physics -
**Anonymous**, Tuesday, October 30, 2012 at 7:34pmw = w0 - a*t

theta = theta0 + w0*t - 1/2*a*t^2

where w is the angular velocity as a function of time, w0 is the initial velocity, t is time, a is the angular acceleration, theta is the angular displacement, and theta0 is the initial angular displacement.

12.4 revolutions = 2*pi*12.4 radians

when the bike stops, w = 0. Inserting values into the equation:

0 = 17.7 - a*t

2*pi*12.4 = 17.7*t - .5*a*t^2

Use algebra to solve this system of equations to find the time t that it takes the bike to come to rest, and the angular acceleration a.

= 17.7

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