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motionman04
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4. [PSE6 10.P.014.] Figure P10.14 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 73.5 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 7.45 cm in diameter.
Figure P10.14
(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.)
diameter of wheels
none of these
diameter of front sprocket
length of pedal cranks
angular rate
diameter of rear sprocket
The figure is found at : http://www.webassign.net/pse/p10-14.gif
I tried solving part a using v=rw, but I'm not sure how to use the formula since there are two radii given.
Figure P10.14
(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.)
diameter of wheels
none of these
diameter of front sprocket
length of pedal cranks
angular rate
diameter of rear sprocket
The figure is found at : http://www.webassign.net/pse/p10-14.gif
I tried solving part a using v=rw, but I'm not sure how to use the formula since there are two radii given.