A cyclist riding a bike with a gear ratio of 4 pedals with a speed of...
A cyclist riding a bike with a gear ratio of 4 pedals with a speed of 55 rpm . If the radius of the bicycle's wheels is 31cm, what is the translational speed of the bicycle as it moves?
Homework Answers
here,
angular speed of pedaling , w1 = 55 rpm
angular speed of rear wheel , w2 = 55 * 4
w2 = 220 rpm
w2 = 220 * 2pi/60 = 23.03 rad/s
radius , r = 0.31 m
translational speed of the bicycle = r * w2
translational speed of the bicycle = 0.31 * 23.03
translational speed of the bicycle = 7.14 m/s
the translational speed of the bicycle is 7.14 m/s
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