Concept explainers
Belts and Pulleys A thin belt of length L surrounds two pulleys of radii R and r, as shown in the figure to the right.
- (a) Show that the angle θ (in rad) where the belt crosses itself satisfies the equation
[Hint: Express L in terms of R, r, and θ by adding up the lengths of the curved and straight parts of the belt.]
- (b) Suppose that R = 2.42 ft, r = 1.21 ft, and L = 27.78 ft. Find θ by solving the equation in part (a) graphically. Express your answer both in radians and in degrees.
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