Question

Jimmy races on a bicycle with 13-inch radius wheels. When he is traveling at a speed of 45ft per seccond, how many revolutions per minute are his wheels making?

Answer 1

Answer:Jimmy's wheels are making approximately 196.98 revolutions per minute.

Explanation:

To determine how many revolutions per minute Jimmy's wheels are making, we can use the formula:

Revolutions per minute = (Speed in feet per second * 60) / (2 * pi * Radius)

Given:

- Speed = 45 ft/s

- Radius = 13 inches

First, we need to convert the radius from inches to feet. Since 1 foot is equal to 12 inches, the radius in feet is 13/12 = 1.0833 feet.

Now, we can substitute the values into the formula:

Revolutions per minute = (45 ft/s * 60) / (2 * 3.1416 * 1.0833 ft)

Calculating this expression gives us:

Revolutions per minute = 1350 / 6.8537

Simplifying the division:

Revolutions per minute ≈ 196.98