The flywheel of a steam engine runs with a constant angular velocity of 150 rev/min. When the steam is shut off, the friction of the bearings and of the air stops the wheel in 2.2 h.
a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel through the slowdown?
b) How many revolutions does the wheel make before stopping?
c) At the instant the flywheel is turning at 75 rev/min what is the tangential component of the linear acceleration of a particle that is 50 cm from the axis of rotation?
d) What is the magnitude of the net linear acceleration of the particle in (c)?