Question

Another bicycle, also with 0.3 m radius wheels, is moving such that the angular speed of each wheel is 75 rad/s. If the bicyclist then applies the brakes and the wheels slow with a constant angular acceleration of -15 rad/s2, how many revolutions will each wheel make before the bike stops

Answer 1

0.3 m 0-75 rad/s α -15 rads Use the following relation of angular velocity and time. (0)-(75 rad/s)+(-15 rad/s) (75 rad/s) 15 rad/s Use the following equation for the angular displacement. e (75 rad/s) (5s)+-15 rad/s')(5 s) 375 rad-187.5 rad = 187.5 rad The number of revolutions is, e (75 rad/s)(515 rad/s')(5 s) - 375 rad-187.5 rad -187.5 rad 187 5rad = 29.8 revs 2(3.14) θ