Question

A car travels at 60 miles per hour. Its wheels have a 24-inch diameter. What is the angular speed of a point on the rim of a wheel in revolutions per second?

Answer 1

The angular speed of a point on the rim of a wheel can be calculated using the formula: angular speed = linear speed / radius. In this case, the car is traveling at 60 miles per hour, which is equivalent to 26.8 meters per second. The radius of the wheel is given as 24 inches, which is equivalent to 0.61 meters.

Step-by-step explanation:

The angular speed of a point on the rim of a wheel can be calculated using the formula:

angular speed = linear speed / radius

In this case, the car is traveling at 60 miles per hour, which is equivalent to 26.8 meters per second. The radius of the wheel is given as 24 inches, which is equivalent to 0.61 meters. Plugging these values into the formula:

angular speed = 26.8 / 0.61 = 44 revolutions per second