A penny rotates about a stationary quarter. The penny never loses contact with the quarter and does not slip in its rotation. The radius of the...

A penny rotates about a stationary quarter. The penny never loses contact with the quarter and does not slip in its rotation. The radius of the quarter is 5/4 that of the penny. The penny rotates from point A on the quarter until it contacts the same point again. How many revolutions does the penny make in the time that it travels around the quarter?

Hint: Try to physically measure the number of revolutions a quarter would make if it rotated around a stationary quarter.