1. A cyclist is pedaling at a cadence of 60, so the bicycle wheel make 60 rotati

Question

1. A cyclist is pedaling at a cadence of 60, so the bicycle wheel make 60 rotations per minute around the axis through its center. The wheel is one meter in diameter.

a) What is the wheel's angular speed?

b) What is the linear speed in m/s of the valve located near the outer edge of the wheel?

Answer: (a)_____________ unit: ________ (b)___________ m/s

2. The cyclist speeds up to a cadence of 120 (120 rotations per minute) in a surge lasting 30 seconds. What is the magnitude of angular acceleration of the wheel during the surge? (Use your result from #1; assume angular acceleration is constant.)

Answer: _______________

Please show all work.

Explanation / Answer

1 a) angular speed = 60*2pi/60 = 2pi rad/s = 6.28 rad/s

b)v = r*angular speed = 1/2 *2 pi = pi = 3.14 m/s

2 a)angular speed final = 120*2pi/60 4pi rad/s

angular speed initail = 2pi rad/s

time = 30 s

angular acceleration = angular speed final- angular speed initail/time = 4pi-2pi/30 = 0.21 rad/s^2

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