Problem: A bicyclist notes that the pedal sprocket has a radius of rp = 11 cm while the wheel sprocket has a radius of rw = 6.5 cm. The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius R = 63 cm. When pedaling the cyclist notes that the pedal rotates at one revolution every t = 1.9 s. When pedaling, the wheel sprocket and the wheel move at the same angular speed.rp = 11 cmrw = 6.5 cmR = 63 cmt = 1.9 sIf the cyclist wanted to travel at a speed of v2 = 3.5 m/s, how much time, in seconds, should elapse as the pedal makes one complete revolution?

FREE Expert Solution

If the bicyclist wanted to travel at a speed of v2 = 3.5 m/s, the time, which is required to make one complete revolution in the pedal is:

t = 2πrpR/v2rw

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Problem Details

A bicyclist notes that the pedal sprocket has a radius of rp = 11 cm while the wheel sprocket has a radius of rw = 6.5 cm. The two sprockets are connected by a chain which rotates without slipping. The bicycle wheel has a radius R = 63 cm. When pedaling the cyclist notes that the pedal rotates at one revolution every t = 1.9 s. When pedaling, the wheel sprocket and the wheel move at the same angular speed.

rp = 11 cm
rw = 6.5 cm
R = 63 cm
t = 1.9 s

If the cyclist wanted to travel at a speed of v2 = 3.5 m/s, how much time, in seconds, should elapse as the pedal makes one complete revolution?

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Our tutors have indicated that to solve this problem you will need to apply the Equations of Rotational Motion concept. You can view video lessons to learn Equations of Rotational Motion. Or if you need more Equations of Rotational Motion practice, you can also practice Equations of Rotational Motion practice problems.