Question

A bicycle with 18-in.-diameter wheels has gears set with a 6-in. radius on the front sprocket and a 3-in. radius on the rear sprocket. If the cyclist pedals at 185 rpm, what is the linear speed of the bicycle in inches per minute?

a. 185×π×18

b. 185×π×18​/12

c. 185×π×(6+3)

d. 185×π×(6+3)​/12

Answer 1

The linear speed of a bicycle with 18-inch diameter wheels and gears set with a 6-inch radius on the front sprocket and a 3-inch radius on the rear sprocket, when the cyclist pedals at 185 rpm, is 3330 inches per minute.

Step-by-step explanation:

The linear speed of a bicycle can be calculated by multiplying the angular speed (in radians per minute) by the radius of the wheel. In this case, the angular speed is given as 185 rpm and the radius of the wheel is 18 inches. The formula to calculate linear speed is:

• Linear speed = Angular speed * Radius

Substituting the given values into the formula:

• Linear speed = 185 rpm * 18 inches = 3330 inches per minute

Therefore, the linear speed of the bicycle is 3330 inches per minute.