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, which is attached to the rear wheel (see figure below). 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 the following.
Suppose a cyclist was using a 155-millimeter-diameter chainring and a(n) 85-millimeter-diameter sprocket. How fast would she need to pedal, in revolutions per minute, in order to maintain a speed of 24 kilometers per hour? (Round your answer to one decimal place.)
_______ rpm
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, which is attached to the rear wheel (see figure below). 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 the following.
Suppose a cyclist was using a 155-millimeter-diameter chainring and a(n) 85-millimeter-diameter sprocket. How fast would she need to pedal, in revolutions per minute, in order to maintain a speed of 24 kilometers per hour? (Round your answer to one decimal place.)
_______ rpm
