1. A pulley of diameter 0.1.5 m is mounted to the shaft of an electric motor, wh

Question

1. A pulley of diameter 0.1.5 m is mounted to the shaft of an electric motor, which operates at a constant angular speed of 600 RPM. A belt connects the motor?s pulley to the inner pulley of a circular saw blade. The diameter of the inner pulley is 0.30 m and the diameter of the saw blade is 0.60 m. Assume the belt does not slip or stretch. a. Convert 600 RPM into radians per second. b. What is the linear speed of the belt? What is the angular speed of the inner pulley? What is the angular speed of the saw blade? What is the linear speed of a point on the rim of the saw blade?

Explanation / Answer

1 rev = 2pi radians

1 Min = 60 secs

so

a. 600 RPM = 600* 2pi/60 = 62.83 rev/sec

b. Linear Velocity of Belt V = r W = 0.15/2 * 62.83

V = 4.71 m/s

c. W = V/r = 4.71/0.15 = 31.4 rad/s

d. W = 4.71/0.3 = 15.7 rad/s

e. V = 4.71 m/s

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