A father is helping his son learn to ride a bike by pushing on the seat from the back. At one point, the wheel of the bike is turning with an angular speed of one revolution in 6 seconds. Later, after 22.0 seconds have elapsed, it is turning with an angular speed of 27 revolutions per minute.

What angle did the wheel turn over these 22.0 seconds?

Hint: First, find out the average angular acceleration of the bicycle wheel in rad/sec^2 during this time interval