The rear wheel of a tractor has a 24in radius Find the angle

The rear wheel of a tractor has a 24-in radius. Find the angle (in radians) through which a wheel rotates in 14 sec if the tractor is traveling at a speed of 23 mph the wheel rotates through radians

Solution

radius=24 inches

speed=23 miles per hour

In one hour it travels 23 miles

in 3600 secs it travels 23 miles=23 *63360 inches

in 1 sec it travels= 404.8 inches

In 14 secs it travels= 5667.2 inches

s= r * theta

s=5667.2

r= 24 * theta

theta= 5667.2 /24= 236.13 degree

404.8=