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Worksheets

Circular Motion

Total questions: 50

Worksheet time: 1hrs 17mins

Name
Class
Date
1.
What is 5π/6 radians in degrees?
a)
180
b)
150
c)
360
d)
120
2.
What is 240 degrees in radians? 
a)
π/3
b)
4π/3
c)
5π/3
d)
2π/3
3.

Find the arc length.

a)

3π/4 ft

b)

39π/4 ft

c)

13π/4 ft

d)

4π/13 ft

4.

Find arc length

a)

114π/5 ft

b)

2850 ft

c)

95π/6 ft

d)

150π/19 ft

5.

Rohit bought a pizza of radius of 0.5 m. A fly lands on the pizza and walks around the edge for a distance of 80 cm. Calculate the angular displacement of the fly?

a)

I don't know how to solve it

b)

3.5 m

c)

0.16 radians

d)

0.16 degrees

e)

3.5 radians

6.

If the body is moving in a circle of radius r with a constant speed v, its angular velocity is

a)

v2 / r

b)

vr

c)

v / r

d)

r / v

7.
A 0.12-m-radius grinding wheel takes 5.5 s to speed up from 2.0 rad/s to 11.0 rad/s. What is the wheel's average angular acceleration?
a)
9.6 rad/s/s
b)
4.8 rad/s/s
c)
3.1 rad/s/s
d)
1.6 rad/s/s
8.
A fan spins with a constant angular speed of 500 radians/second. How long will it take to cover an angle of 2π radians (one revolution)?
a)
0.013 s
b)
0.002 s
c)
76.9 s
d)
6.28 s
9.
A merry go round starts from rest, and reaches an angular speed of 2 radians/second in 3 seconds. What is its angular acceleration, and through what angle does it sweep in the 3 second time interval? 
a)
α = 3/2 rad/s2,   θ=27/4 rad
b)
α = 2/3 rad/s2, θ=3 rad
c)
α = 2/3 rad/s2, θ=6 rad
d)
α = 6 rad/s2, θ=27 rad
10.
A flywheel starts from rest, and has an angular acceleration of 4 rad/s2. What will be its angular speed when it has made one revolution? 
a)
5.01 rad/s
b)
50.27 rad/s
c)
2.83 rad/s
d)
7.09 rad/s
11.
An object completes 1.5 circular orbits in half a minute. It orbits with a radius of 2 m. What is the object's tangential speed?
a)
0.15 m/s
b)
0.60 m/s
c)
1.6 m/s
d)
6 m/s
12.
A horse gallops around a circular arena.  The centripetal force on the horse is ___.
a)
directed outward
b)
tension
c)
directed toward the center of the arena
d)
9.8 N
13.
Which of the following increase the centripetal force?
a)
Increasing the radius
b)
Increasing the velocity
c)
Decreasing the mass
d)
Decreasing the acceleration
14.

A disk rotates with an angular speed  ω\omega  . What is the linear speed v of a point on the disk located a distance r away from the axis of rotation?

a)

 ωr\omega r  

b)

 ωr\frac{\omega}{r}  

c)

 rω\frac{r}{\omega}  

d)

 ω2r\omega^2r  

15.

A figure skater spins on an icy surface. Her moment of inertia is 3.0 kg-m2 when her arms are stretched away from her and drops to 2.2 kg-m2 when her arms are close to her chest. If she makes three revolutions per second (rps) when her arms are stretched, how many rps will she make when she puts her arms to her chest?

a)

4 rps

b)

2 rps

c)

3 rps

d)

8 rps

16.

A gear spins at a rate of 400 revolutions/minute. Which choice is closest to its angular speed in radians/second?

a)

6.67 rad/s

b)

2500 rad/s

c)

41.9 rad/s

d)

20.9 rad/s

17.

The time required for one complete revolution is:

a)

torque

b)

frequency

c)

period

d)

rotational kinetic energy

18.

Four rotations per minute is a measurement of ________

a)

angular velocity

b)

angular acceleration

c)

time period

d)

angular displacement

19.

A disc rotating at 300 rev/min is stopped after 2 minutes. Calculate

a) the angular acceleration

b) angular velocity after 30 s

c) the number of revolutions

a)

a) -0.26 rad s-2

b) 23.62 rad s-1

c) 302 revolutions

b)

a) -0.45 rad s-2

b) 20.35 rad s-1

c) 202 revolutions

c)

a) -0.62 rad s-2

b) 36.22 rad s-1

c) 112 revolutions

d)

a) -0.34 rad s-2

b) 13.62 rad s-1

c) 422 revolutions

20.
 2600 rev/min is equivalent to which of the following?
a)
2600 rad/s 
b)
43.3 rad/s 
c)
273 rad/s
d)
60 rad/s
21.

What is the angular speed about the rotational axis of the Earth for a person standing on the surface? (hint, how long does it take to go 2pi rad of rotation? )

a)

7.3 x 10-5 rad/s

b)

3.6 x 10-5 rad/s

c)

6.28 x 10-5 rad/s

d)

3.14 x 10-5 rad/s

22.
Which has greater angular speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?
a)
The inside horse
b)
The outside horse
c)
Neither - they both have the same angular speed
23.
A tin can whirled on the end of a string moves in a circle because 
a)
the can continually pulls on the string.
b)
once the can starts moving, that is its natural tendency.
c)
there is a force on the can pulling it outward.
d)
there is an inward force acting on the can.
24.
Centripetal acceleration always points
a)
in the direction of the object's motion
b)
in the opposite direction of the object's motion
c)
towards the center of the circle
d)
towards the outside of the circle
25.

What's the centripetal acceleration of an object traveling 2.3 m/s around a circle of diameter 0.6 m?

a)

5 m/s2

b)

17.63 m/s2

c)

10 m/s2

d)

8.81 m/s2

26.

Two children, Jack and Jill, ride on a merry-go-round. Jack is at a greater distance from the axis of rotation than Jill. Which of the following are true statements?

a)

Jill and Jack have the same tangential speed.

b)

Jack has a greater tangential speed than Jill.

c)

Jill has a greater angular speed than Jack.

d)

Jill has a smaller angular speed than Jack.

27.

Which of the following is NOT a unit of rotational speed?

a)

Meters per second

b)

Revolutions per minute

c)

Revolutions per second

d)

Rotations per second

28.
Which would have a greater linear velocity?
a)
Kid near the center of the merry go round
b)
Kid near the outside of the merry go round
c)
neither
29.

A possible unit for angular acceleration is:

a)

rad/s2

b)

rad/s

c)

N*m

d)

Kg*m2

30.
A wrench is used to tighten a nut. A 15N perpendicular force is applied 50cm away from the axis of rotation, and moves a distance of 10 cm as it turns. What is the torque applied to the wrench?
a)
7.5 Nm
b)
1.5 Nm
c)
750 Nm
d)
150 Nm
31.
The easiest way to open a heavy door  is by applying the force
a)
Near the hinges
b)
In the middle of the door
c)
At the edge of the door far from the hinges
d)
At the top of the door
32.
What is the Unit for Torque
a)
Nm
b)
N
c)
W
d)
J
33.
Does a bridge anchored resting on two pillars have any torque?
a)
No, it isn't moving
b)
Yes, but it is at equilibrium
c)
Yes, but it will soon break because of the torque
d)
No, Bridges can't have torque
34.
When an object is experiencing a net torque
a)
it is in dynamic equilibrium.
b)
it is in static equilibrium.
c)
it is rotating.
d)
it is translating.
35.
What is the weight of the package?
a)
5 N
b)
10 N
c)
15 N
d)
20 N
36.
What is the weight of the package?
a)
5 N
b)
10 N
c)
15 N
d)
20 N
37.
Which represents the acceleration of the ball?
a)
A
b)
B
c)
C
d)
D
38.
Which of the following depict the speed of the blowing ball?
a)
A
b)
B
c)
C
d)
D
39.
Which of the following increase the centripetal force?
a)
Increasing the radius
b)
Increasing the velocity
c)
Decreasing the mass
d)
Decreasing the acceleration
40.
As the moon orbits the earth, what keeps the moon moving in a circular motion?
a)
Gravity
b)
Inertia
c)
Centripetal Force
d)
Friction
41.
The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis perpendicular to the plane of the drawing at point P?
a)
A
b)
B
c)
C
d)
D
42.
A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii. If the three of them are released simultaneously at the top of an inclined plane and do not slip, which one will reach the bottom first?
a)
cylinder
b)
pipe
c)
sphere
d)
They all reach the bottom at the same time.
43.
The moment of inertia:
a)
is synonymous with mass
b)
does not depend on where the mass is located
c)
resistance to a change in rotational inertia
d)
more resistance to change = less inertia
44.
The property of a body to resist change in motion.
a)
mass
b)
weight
c)
volume
d)
inertia
45.
A person sits on a freely spinning lab stool that has no friction in its axle. When this person extends her arms,
a)
her moment of inertia increases and her angular speed decreases.
b)
her moment of inertia decreases and her angular speed increases.
c)
her moment of inertia increases and her angular speed increases.
d)
her moment of inertia increases and her angular speed remains the same.
46.
In the diagram above, two masses, one with mass m, the other with mass M = 2m are resting on a uniform plank of length L that pivots at its midpoint. If the mass m is at the far end of the plank, how far away from the pivot should the mass M be to balance the plank in a horizontal position shown?
a)
L/2
b)
L/3
c)
L/4
d)
L/6
47.
Two objects are attracted to each other with 36 N of gravitational force.
What would the force between them be if the distance between them were doubled?
a)
9
b)
18
c)
72
d)
144
48.

Two objects each have masses of 4500 kg and are .03 meters apart from each other. What's their force of gravity?

a)

.3 N

b)

.7 N

c)

1.1 N

d)

1.5 N

49.

In uniform circular motion, the magnitude of the _______________________of an object is constant but the __________ is continually changing.

a)

speed, acceleration

b)

speed, direction

c)

acceleration, speed

d)

acceleration, velocity

50.

________________________ defined as the number of revolutions (cycles/rotations) completed in one second.

a)

frequency

b)

period

c)

distance

d)

centripetal acceleration

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