A drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist peda?
A drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady angular rate of 71.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 6.20 cm in diameter.
(a) Calculate the speed of a link of the chain relative to the Bicycle Frame.
m/s
(b) Calculate the angular speed of the Bicycle Wheels.
rad/s
(c) Calculate the speed of the bicycle relative to the road.
m/s
(d) What pieces of data, if any, are not necessary for the calculations? (Select all that apply.)
length of pedal cranks
diameter of rear sprocket
diameter of wheels
diameter of front sprocket
angular rate
none of these
omega(pedal) = 2pi*71/60 rad/s
A. v(chain) = omega(pedal)*r(front sprocket) m/s
B. omega(wheel) = omega(pedal)*r(front sprocket)/r(rear sprocket) = v(chain)/r(rear sprocket) rad/s
C. v = omega(wheel)*d(wheel)/2 m/s
D. Didn’t need crank length.
How to Ride a Bike with Training Wheels
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