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