Question

A truck with 36-inch diameter wheels is traveling at 60m(i)/(h). Round answers to the nearest whole number. Find the angular speed of the wheels in ra(d)/(m)in. ra(d)/(m)in How many revolutions per minute do the wheels make?

Answer 1

The angular speed of the truck's wheels is 301.1 radians per minute. The wheels make approximately 47.9 revolutions per minute.

Step-by-step explanation:

The angular speed of the wheels can be found using the formula:

Angular Speed (in radians per minute) = Linear Speed / (2 * π * Radius)

Given that the truck is traveling at 60 m/h, we need to convert this to meters per minute: 60 m/h = 60 * 1000 / 60 m/min = 1000 m/min.

Now we can calculate the angular speed: Angular Speed (in radians per minute) = 1000 / (2 * π * 18 inches * 0.0254 m/inch) = 301.1 radians per minute.

To find the number of revolutions per minute, we can use the formula:

Revolutions per minute = Angular Speed (in radians per minute) / (2 * π)

Revolutions per minute = 301.1 / (2 * π) = 47.9 revolutions per minute (rounded to the nearest whole number).