# Trigonometry

posted by
**James** on
.

A car with wheel of radius 14 inches is moving in a speed of 55 mph.Find the angular speed of the wheel in radian per sec.

your car is moving at 55 mph, which is

55*5280*12 inches/3600 seconds or

968 inches/second.

each rotation of the wheel covers 2*14*pi inches.

so the number of rotations is 968/(28pi)

or 5.5022 rotations per second

now in radians you would have 5.5022*(2pi) radians/second or

34.57 radians/second