A flywheel with a diameter of 0.510 m is rotating at an angular speed of 178 rev/min.
(a) What is the angular speed of the flywheel in radians per second?
(b) What is the linear speed of a point on the rim of the flywheel?
(c) What constant angular acceleration (in revolutions per minute-squared) will increase the wheel's angular speed to 778 rev/min in 142 s?
(d) How many revolutions does the wheel make during that 142 s?