Asked by Xochil

A car is moving at the rate of 60 miles per hour, and the diameter of its wheels is 2.5 feet (1 mile=5280 feet)
a) Find the angular speed of the wheels in radians per minute
b) Find the number of revolutions per minute the wheels are rotating.
Answered by Xochil
I shouldve known better than to actually think i was gunna get help...
Answered by Anonymous
V = linear speed

r = radius

omega = angular velocity

RPM = Revolutions per minute


r = diameter / 2

60 mph = 60 * 5280 ft


V = r * omega

60 * 5280 = ( 2.5 / 2 ) * omega

316,800 = 1.25 omega Divide both sides ba 1,25

316,800 / 1.25 = omega

253,440 = omega

omega = 253,440 radians / h Divide both sides by 60

omega = 253,440/ 60

omega = 4,224 radians / min


1 rotation = 2 pi radians


RPM = 4,224 / 2 pi

RPM = 2112/ pi

RPM = 2112 / 3.1416

RPM = 672.2689 rotation / min
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