Q1: How
large are these angles in radians: A half rotation, a full rotation,
5 rotations, 45 degrees, 90 degrees, 360 degrees?
Q2:
A
car engine rotates at a rate of 4,500 rpm (revolutions per minute).
What is the angular velocity of the engine in radians/sec?
Q3:
The
image of a
man 180 cm tall subtends an angle of .0036 radians. How far
away is the man?
Q4&5: The angular position of a merry-go-round
is specified as:
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Q4:
What
are the inital angular position, angular velocity and angular acceleration
of the merry-go-round at t = 0 seconds? (Hint: Compare
to the linear kinematic equations.)
Q5:
What
are the angular position, velocity and acceleration of the merry-go-round
at t = 5 seconds.
Q6-8: An electrical motor
running at 1,000 rpm is turned off, and its angular velocity decreases
uniformly
to 500 rpm over three seconds.
Q6:
What is the angular acceleration of the motor?
Q7:
How
many revolutions does the motor turn through before coming to
a
rest after t=3.0s?
Q8:
If
the motor continues to uniformly coast to a halt, how much time
is required to come to a complete stop?
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