A boy is twirling a model airplane on a string 8 feet long I

A boy is twirling a model airplane on a string 8 feet long. If he twirls the plane at 0.5 revolutions per minute, how far does the plane travel in 2 minutes? Round to the nearest tenth.

Solution

Sol:

The plane has 1 revolution in 2 minutes and travels a distance equal to the circumference of the circular orbit the model airplane makes.

The radius of the orbit is 8 ft, so using the formula C=2 x pi x radius,

therefore the circumference of the orbit is: 2 x pi x 8 = 50,26548 50.27 feet