A bicyclist is riding a bicycle on a flat road. (Figure 2) The combined weight o
ID: 1516927 • Letter: A
Question
A bicyclist is riding a bicycle on a flat road. (Figure 2) The combined weight of the bicyclist and bicycle is W = 220 lb , the radius of each wheel is R = 13.0 in , and the coefficient of rolling resistance between the tires and the road is a = 8.20×10?2 in . The pedaling power of the bicyclist is translated to the back wheel through the tension in the chain that is wrapped around a set of gears. What is T, the tension in the chain that allows the bicycle to maintain a constant velocity when the chain is on the gear with a radius r = 1.50 in ? Consider the combined weight to be evenly distributed between the two wheels.
Explanation / Answer
constant velocity means acceleration will be 0
if acceleration will be 0 then net force will be also 0
net torque on the tire = torque due to friction force - torque due to tension force
weight = 220 lbs or 978.6087 N
r = 1.5 in or 0.0381 m
R = 13 in or 0.3302 m
a = 8.2 * 10^-2
0 = 8.2 * 10^-2 * 0.3302 * 978.6087 / 2 - T * 0.0381
8.2 * 10^-2 * 0.3302 * 978.6087 / 2 = T * 0.0381
T = 347.732 N
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