Concept explainers
Cycling When a cyclist pedals. he turns a gear, called a chainring. The angular velocity of the chainring will determine the linear speed at which the chain travels. The chain connects the chainring to a smaller gear, called a sprocket, winch is attached to the rear wheel (Figure 11). The angular velocity of the sprocket depends upon the linear speed of the chain. The sprocket and rear wheel rotate at the same rate, and the diameter of the rear wheel is 700 millimeters. The speed at which the cyclist travels is determined by the angular velocity of his rear wheel. Use this information to answer Problems 63 through 67.
If a cyclist was using his 210-millimeter-diameter chainring and pedaling at a rate of 85 revolutions per minute, what diameter sprocket would he need in order to maintain a speed of 45 kilometers per hour?
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