The flywheel of a steam engine runs with a constant angular velocity of 150rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 2.2h.

(a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown?

(b) How many revolutions does the wheel make before stopping?

(c) At the instant the flywheel is turning at 75rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 50 cm from the axis of rotation?

(d) What is the magnitude of the net line ar acceleration of the particle in (c)?