Three Wheels. Three rubber wheels are mounted on axles so that they make tight contact with each other and their centers are on a line. The wheel on the far left axle is connected to a motor that rotates it at 25.0 r.p.m., and drives the wheel in contact with it on its right which, in turn, drives the wheel on its right. The left wheel (Wheel 1) has a diameter of d1 = 0.22 m, the middle wheel (Wheel 2) has d2 = 0.31 m, and the far right wheel (Wheel 3) has da = 0.42 m. (a) If Wheel 1 rotates clockwise, in which direction does Wheel 3 rotate? (b) What is the angular speed of Wheel 3, and what is the tangential speed on its outer edge? (c) What arrangement of the wheels gives the largest tangential speed on the outer edge of the wheel in the far right position (assuming the wheel in the far left position is driven at 25.0 r.p.m)? (d) What is the largest tangential speed on the outer edge of the wheel in the far right position?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...
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Three Wheels. Three rubber wheels are mounted on axles so that they make tight contact with each other and their centers are on a
line. The wheel on the far left axle is connected to a motor that rotates it at 25.0 r.p.m., and drives the wheel in contact with it on its
right which, in turn, drives the wheel on its right. The left wheel (Wheel 1) has a diameter of d1 = 0.22 m, the middle wheel (Wheel 2)
has d2 = 0.31 m, and the far right wheel (Wheel 3) has da = 0.42 m.
(a) If Wheel 1 rotates clockwise, in which direction does Wheel 3 rotate?
(b) What is the angular speed of Wheel 3, and what is the tangential speed on its outer edge?
(c) What arrangement of the wheels gives the largest tangential speed on the outer edge of the wheel in the far right position
(assuming the wheel in the far left position is driven at 25.0 r.p.m)?
(d) What is the largest tangential speed on the outer edge of the wheel in the far right position?
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