1. If an object of radius 2 m that experiences a constant
8. A pebble is stuck in a tire of radius 0.25 m traveling at
angular acceleration starting from rest, rotates 18 rads 4 m/s. The tire accelerates constantly up to 8 m/s in 4
in 3 s, what is its angular velocity after 2 s?
seconds. What is the angular acceleration of the
pebble during those 4 seconds?
A) 2 rad/s
B) 4 rad/s
A) 1 rad/s 2
B) 2 rad/s 2
C) 8 rad/s
D) 12 rad/s
C) 4 rad/s 2
D) 6 rad/s 2
E) 16 rad/s
E) 8 rad/s 2
2. What is an expression for centripetal force acting on
an object of mass m with uniform circular motion in
terms of angular velocity?
A)
B)
C)
D)
E)
3. A wheel of radius 2 m moving at 2 rad/s accelerates to 4 rad/s in 2 s. What is the change in the magnitude
of the linear velocity of a point on the edge of the
wheel after this acceleration?
A) 2 m/s
C) 4 m/s
E) 8 m/s
B) 2 rad/s
D) 4 rad/s
4. If a rotating object starts at rest and completes one
rotation in 4 s, what is its angular acceleration
assuming its angular acceleration is constant?
A) /8 m/s2
C) 1/8 rad/s 2
E) /2 rad/s 2
B) 1/r
C) r
D) r 2
E) 1/r 2
6. A tire spinning at 5 m/s uniformly accelerates to 10
m/s in 5 s. Its radius is 10 cm. Through what angle
will a pebble stuck in the tire revolve during this
interval?
A) 100° B) 125° C) 250° D) 300° E) 375°
7. What is an expression for centripetal acceleration in
terms of angular speed?
A) w2r
B) v 2r
C) w2/r
D) v 2/r
A) 3 m/s
C) 6 m/s
E) 12 m/s
B) 4 m/s
D) 7 m/s
10. The angular velocity of a rotating disk with a radius
of 2 m decreases from 6 radians per second to 3
radians per second in 2 seconds. What is the linear
acceleration of a point on the edge of the disk during
this time interval?
A) Zero
C) – m/s 2
E) 3 m/s 2
B) –3 m/s 2
D) m/s 2
11. An object moves at constant speed in a circular path
of radius r with a period of T. What is the object's
acceleration?
B) /4 rad/s 2
D) 1/4 m/s2
5. What is the ratio of angular velocity to linear
velocity?
A) 1
9. A disk of radius 3 m rotates at an angular velocity of
4 radians per second. How fast does a point on the
edge of the disk travel?
E) r w
A) 0
B) 2 Tr 2
C) 2 r
T
D) 4 2r T 2
E) 4 2 Tr 2
12. Base your answer to the following question on the
following situation.
An object weighing 10 N swings at the end of a rope
that is 0.72 m long as a simple pendulum. At the
bottom of the of the swing, the tension in the string
is 12 N.
What is the speed of the object at the bottom of the
swing?
A) 0.6 m/s
C) 2.0 m/s
E) 7.2 m/s
B) 1.2 m/s
D) 2.4 m/s
An object with a mass of 5 kg is attached to a 1
meter long rope and whirled in a vertical circle.
At the bottom of its path, the rope has a tension of 95
N. The object is moving most nearly
A) 2 m/s
C) 6 m/s
E) 15 m/s
B) 3 m/s
D) 9 m/s
16. The centrifugal force felt by an object in uniform
circular motion is
13. A particle travels in a circular path at constant speed
with a constant kinetic energy of 20 J. If the net
force on the particle is 40 N, what is the radius of the
particle's path?
A) 0.2 m
C) 1 m
E) 2 m
15. Base your answer to the following question on the following situation.
B) 0.5 m
D) 1.5 m
14. A 60 kg adult and a 30kg child are passengers on a
rotor ride at an amusement park as shown in the
diagram above. When the rotating hollow cylinder
reaches a certain constant speed, v, the floor moves
downward. Both passengers stay "pinned" against
the wall of the rotor, as shown in the diagram below.
A) always directed away from the center of the
circle
B) always directed toward the center of the circle
C) always directed in the direction of the velocity
D) inversely proportional to the radius of the circle
E) zero
17. What is the maximum speed a vehicle can travel
along a circular turn without leaving the road, if the
turn has a radius of 50 m and the coefficient of static
friction between the road and the tires is 0.20?
A) 5 m/s
C) 15 m/s
E) 25 m/s
B) 10 m/s
D) 20 m/s
18. A ball rolls down a curved ramp as shown in the
diagram below. Which dotted line best represents
the path of the ball after leaving the ramp?
The magnitude of the frictional force between the
adult and the wall of the spinning rotor is F. What is
the magnitude of the frictional force between the
child and the wall of the spinning rotor?
A) F
B)
F
C) F
D) 2F
E) 4F
A) A
B) B
C) C
D) D
E) E
19. An 10 kg object moving in a horizontal circle of
radius 5 m experiences a centripetal force of 50 N.
What is the velocity of the object?
A) 0.5 m/s
C) 2.5 m/s
E) 25 m/s
B) 1 m/s
D) 5 m/s
20. A small block of mass M is traveling on a track
where a loop of radius R exists.
What minimum speed is needed to keep the block on
the track?
A)
B)
C)
D)
E)