Worksheet #1 Circular Motion

Worksheet #1
Circular Motion
Supplemental Instruction
Iowa State University
Leader:
Course:
Instructor:
Date:
Brian
PHYS 221
Ho
01/21/2014
1. The angular position of a 0.36 m flywheel is given by,
θ = (2.0 rad/ s^3)t^3
a. Find θ in radians and degrees at t1 = 2.0 s and t2 = 5.0 s.
b. Find the distance a particle on the edge of the flywheel moves in that interval.
c. Find the average angular velocity of the particle in rad/ s and revolutions/ minute
during that time interval.
d. Find the instantaneous angular acceleration at t1 = 2.0 s and t2 = 5.0 s.
2. A DVD finishes spinning in a player. The disc’s angular velocity at time t = 27.5 rad/ s
and its angular acceleration is a constant -10 rad/ s^2. There is a colored line that extends
from the axis of rotation to the tip of the disc along the (+)-x axis.
a. What is the disc’s angular velocity at t – 3.00 s?
b. What angle does the line make with the (+)-x axis at this time?
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Do NOT plug in numbers until you have solved for the desired variable!
Try to solve each problem algebraically first.
3. You drive a race car around a circular track of radius 100 m at a constant speed of 100
km/h. If you then drive the same car around a different circular track of radius 200 m at a
constant speed of 200 km/h, your acceleration will be
a.
b.
c.
d.
e.
8 times greater.
4 times greater.
twice as great.
the same.
half as great.
4. The velocity and acceleration of an object at a certain instant are
v = (3.0 m/s) ˆj
a = (0.5 m/s2 )i–( 0.2 m/s2 )ˆj
At this instant, the object is
a. speeding up and following a curved path.
b. speeding up and moving in a straight line.
c. slowing down and following a curved path.
d. slowing down and moving in a straight line.
e. none of these is correct