college physics
The flywheel of a steam engine runs with a constant angular speed of 165 rev/min.
When steam is shut off�, the friction of the bearings and of the air brings the wheel to
rest in 2.30 hrs
(a) What is the constant angular acceleration of the wheel, in rev/min2 ?
(b) How many rotations will the wheel make before coming to rest?
(c) What is the tangential linear acceleration of a point 54.2 cm from the axis of
rotation when the flywheel is turning at 75.2 rev/min
(d) What is the magnitude of the total linear acceleration of the point in part (c)?
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Answers
a) The constant angular acceleration of the wheel is (-165 rev/min2). b) The wheel will make 412 rotations before coming to rest. c) The tangential linear acceleration of a point 54.2 cm from the axis of rotation when the flywheel is turning at 75.2 rev/min is 251.6 m/s2. d) The magnitude of the total linear acceleration of the point in part (c) is 251.6 m/s2. This is the same as the tangential linear acceleration because the radial acceleration of a point on the flywheel is always zero due to the constant angular speed.
