contestada

A truck with 32-inch diameter wheels is traveling at 60 mi/h. Find the angular speed of the wheels in rad/min. How many revolutions per minute do the wheels make?

Respuesta :

3960   rad/min
630.25 rpm

Convert 60 mph to ft/min
60*5280/60 = 5280

Get the circumference of the wheels.
32/12*pi = 32/12*3.14159 = 8.37758

Divide distance by circumference to get RPM
5280/8.37758 = 630.25 rpm

Multiply by 2*pi to get rad/min
630.25 * 2 * pi = 3960

raphealnwobi

The angular speed of the wheel is 3960 rad/min and the revolutions per minute is 630 rpm.

The velocity of the truck is 60 mph. We need to convert this speed to inches per minute.

1 mile = 63360 in, 1 hour = 60 minutes

Hence:

60 mph = (60 mile * 63360 in/mi) / (1 hr * 60 min/hr) = 63360 in/min

The diameter = 32 in, hence radius = 32/2 = 16 in

The angular speed = 63360 in/min ÷ 16 in = 3960 rad/min

Revolution per minute = 3960 rad/min ÷ 2π = 630 rpm

Hence the angular speed of the wheel is 3960 rad/min and the revolutions per minute is 630 rpm.

Find out more at: brainly.com