Bicycle With Training Wheels
Figure P7.69 shows the drive train of a bicycle that has wheels?
Figure P7.69 shows the 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 80.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 7.45 cm in diameter.
Figure P7.69
(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
none of these
angular rate
diameter of front sprocket
diameter of wheels
W = angular velocity; V = linear velocity; r=radius
*note: you are given diameters only. To get radius, just divide the diameter by two, and don’t forget to convert the cm to m.
a)W(pedal) = W(front sprocket)
W = given
v(front srpocket) = r(front sprocket)*w(front sprocket)
*convert cm to m, and convert revolutions/min to radians/s by multiplying the given angular velocity (w) by (2pi/60)
w(front sprocket) = 80 * (2pi/60)
v(front sprocket) = .152*w(front sprocket) ANSWER A
b) v(front sprocket) = v(chain) = v(rear sprocket)
v(rear sprocket) = w(rear sprocket)*r(rear sprocket)
w(rear sprocket) = v(rear sprocket)/r(rear sprocket)
w(rear sprocket) = ANS A/(.0745/2) ANSWER B
c) w(rear sprocket) = w(wheel)
v(wheel) = r(wheel)*w(wheel)
v(wheel) = (.673/2) * (ANS B) ANSWER C
d) lengh of pedal cranks
Single speed bicycle with training wheels – Milazo Bikes
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