Cycling Bikes For Sale

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.

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

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