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WorksheetsTorque and Angular Motion
Total questions: 20
Worksheet time: 1hrs 19mins
Name
Class
Date
1.
Which of the following is the unit for angular displacement?
a)
meters
b)
seconds
c)
radians
d)
radians per second
2.
A rod rotates about a pivot at its center at 2 rads/s. Its angular velocity increases to 14 rads/s in 3 s. Find the rod's angular acceleration
a)
2 rad/s/s
b)
4 rad/s/s
c)
6 rad/s/s
d)
8 rad/s/s
3.
A record on a turntable is spinning and is coming to rest. If the angular velocity is 20.0 rad/s and the record slows at a rate of - 5 rad/s/s, how long does it take the record to come to rest?
a)
2 s
b)
4 s
c)
12 s
d)
8 s
4.
A ball attached to a string and rotates in a circle. If it takes 1.00 s to complete one revolution, what is the angular velocity of the ball?
a)
3.14 rad/s
b)
6.28 rad/s
c)
9.42 rad/s
d)
12.6 rad/s
5.
Torque is the rotational analog of which of the following quantities?
a)
kinetic energy
b)
linear momentum
c)
force
d)
acceleration
6.
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
7.
A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?
a)
3.2 rad/s
b)
26 rad/s
c)
52 rad/s
d)
81 rad/s
8.
A spool of thread has an average radius of 1.00 cm. If the spool contains 62.8 m of thread, how many turns of thread are on the spool? "Average radius" allows us to not need to treat the layering of threads on lower layers.
a)
100
b)
1000
c)
3140
d)
62800
9.
A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s2. What is the time interval required for it to reach a 4.2 rad displacement after starting from rest
a)
1.8 s
b)
2.0 s
c)
16 s
d)
18 s
10.
If the torque required to loosen a nut on the wheel of a car has a magnitude of 60.0 N• m, what minimum perpendicular force must be exerted by a mechanic at the end of a 45.0 cm wrench to loosen the nut?
a)
.666 Nm
b)
133.3 N
c)
66.7 N
d)
13.3 Nm
11.
A state of equilibrium is also seen below. Each of the cars weighs the same 9800 N. Despite the fact that there is only one car on the left-hand side that is 9 m from the fulcrum, the torques balance because, the car on the left-hand side, is ____meters from the fulcrum, compared to the cars on the right-hand side.
a)
4.5 m
b)
3 m
c)
1 m
d)
2 m
12.
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
13.
What is the Unit for Torque
a)
Nm
b)
N
c)
W
d)
J
14.
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
15.
Five forces act on a rod that is free to pivot at point P, as shown in the figure. Which of these forces is producing a counter-clockwise torque about point P?
a)
force E
b)
force B
c)
force C
d)
force D
16.
As shown in the figure, a given force is applied to a rod in several different ways. In which case is the torque about the pivot P due to this force the greatest?
a)
1
b)
2
c)
3
d)
4
17.
Two bugs ride a turntable which is rotating at a constant rate of 4 rad/s. Bug A is at a radius of 4 cm, while bug B is at a radius of 8 cm. Which of the following is true?
a)
Bug A has a greater rotational speed.
b)
Bug B has a greater rotational speed.
c)
Bug A has a greater speed.
d)
Bug B has a greater speed.
18.
A Ferris wheel starts at rest and builds up to a final angular speed of 0.70 rad/s while rotating through an angular displacement of 4.9 rad. What is its average angular acceleration?
a)
0.01 rad/s/s
b)
0.05 rad/s/s
c)
1.8 rad/s/s
d)
2.6 rad/s/s
19.
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
20.
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
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