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WorksheetsPhysics Rotation
Total questions: 39
Worksheet time: 1hrs 24mins
Name
Class
Date
1.
For a rotating rigid body, which of the following statements is NOT correct?
a)
All points along a rotating rigid body move with constant speed
b)
Points along a rotating body have velocities that continuously change directions
c)
Points along a rotating body move through the same angle in equal time intervals
d)
All of the answers are correct
2.
A radian is all of the following EXCEPT
a)
A dimensionless quantity
b)
The ratio of arc length over radius
c)
The same as degrees
d)
The unit for rotational position
3.
The minute hand of a clock goes from the ":00" position to the ":15" position in 15 minutes. What is the angular velocity of the clock hand?
a)
6 degrees/minute
b)
π/30 radians/minute
c)
Both of the above
d)
Neither of the above
4.
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
5.
The rotational equivalent to d (distance), v (velocity) and a (acceleration) are?
a)
m, m/s, m/s2
b)
θ, ω, α
c)
x, x/t, alphaα
d)
μ, Σ, τ
6.
The center of mass is:
a)
the exact middle
b)
the heaviest part
c)
the point at which you can balance with one finger
d)
the idea that mass is concentrated throughout
7.
How do you get the maximum torque?
a)
longer lever arm and less force at an acute angle
b)
shorter lever arm and less force perpendicularly
c)
shorter lever arm and more force perpendicularly
d)
longer lever arm and more force perpendicularly
8.
A solid metal bar is at rest on a horizontal frictionless surface. It is free to rotate about a vertical axis at the left end. The figures show forces of different magnitudes that are exerted on the bar at different locations. In which case does the bar's angular speed about the axis increase at the fastest rate?
a)
A
b)
B
c)
C
d)
D
9.
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
10.
A person sits on a freely spinning lab stool that has no friction in its axle. When this person extends her arms,
a)
angular momentum is conserved, her moment of inertia increases and her angular speed decreases.
b)
angular momentum is conserved, her moment of inertia decreases and her angular speed increases.
c)
angular momentum increases, her moment of inertia increases and her angular speed increases.
d)
angular momentum decreases, her moment of inertia increases and her angular speed remains the same.
11.
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.
12.
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
13.
Suppose you are designing an engineless car for a downhill coasting race. What type of wheels would be the best?
a)
Solid disks.
b)
Hoops.
c)
Hollow cylinders.
d)
Diamond encrusted triangles.
14.
In order to do a lot of flips an Olympic diver would want:
a)
A high rotational inertia
b)
A low rotational inertia
c)
A low linear acceleration
d)
A low angular velocity
15.
What happens to his rotational inertia when a figure skater brings in his arms?
a)
Increase his rotational inertia
b)
Decrease his rotational inertia
c)
has no affect
16.
The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle. You can treat the wheel as a thin uniform hoop (or ring) with a mass of 0.750 kg and a radius of 33.0 cm. What is the angular acceleration of the wheel?
a)
10.4 rad/s²
b)
3.43 rad/s²
c)
5.20 rad/s²
d)
1.06 rad/s²
17.
If the translational velocity of an object is 3 m/s, and is located a distance of 2 m from the axis of rotation, what is the object's angular velocity?
a)
0.67 rad/s
b)
1.5 rad/s
c)
5 rad/s
d)
6 rad/s
18.
An object completes 1.5 circular orbits in half a minute. What is its approximate angular velocity?
a)
0.05 rad/s
b)
0.30 rad/s
c)
0.5 rad/s
d)
3 rad/s
19.
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
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
21.
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.
22.
Where is the center of gravity of a softball bat located?
a)
Exactly halfway along the bat
b)
In the thin handle
c)
In the more massive end of the bat
23.
A bug on a turning phonograph record will make more turns per minute if it is located toward the center of the record.
a)
True
b)
False
24.
A possible unit for angular acceleration is:
a)
rad/s^2
b)
rad/s
c)
N*m
d)
Kg*m^2
25.
Which has more rotational inertia? (consider all objects have equal radius)
a)
Hollow sphere
b)
solid sphere
c)
disk
d)
cylinder
26.
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
27.
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
28.
Which object listed below has the greatest momentum?
a)
A 0.05 kg object rolling at 0.2 m/s.
b)
A 0.15 kg object rolling at 2 m/s.
c)
A 0.15 kg object rolling at 1 m/s
d)
A 0.4 kg object rolling at 2 m/s.
29.
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
30.
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
31.
Suppose you are rotating in a chair with 2 equal masses held in each outstretched hand and you drop them. What happens to your angular velocity?
a)
Increase
b)
Decrease
c)
Stays the same
d)
Is lost
32.
A tire of 68cm in diameter travels 9.2km. How many revolutions does it make?
a)
43.00 rads
b)
567 revs
c)
4300 revs
d)
68cm
33.
Because a hollow ball has a higher moment of inertia than a solid ball...
a)
The solid ball rolls faster
b)
The solid ball weighs more.
c)
The solid ball weighs less.
d)
They both accelerate at the same rate.
34.
If a ball moves with slipping down a ramp
a)
it goes slower than if it had rolled down
b)
it moves faster than if it had rolled down.
c)
It doesn't make a difference about friction or not friction.
d)
Friction slows it down.
35.
What is the kinetic energy of a 3 kg solid disk (I = 1/2mr2) with a diameter of 80 cm rolling at 4 m/s?
a)
12 J
b)
24 J
c)
36 J
d)
48 J
36.
You roll a solid sphere of mass m and radius r (I = 2/5mr2) down a ramp from a height of h, if it starts at rest what is its linear speed at the bottom?
a)
√1.4gh)
b)
√2gh)
c)
√3.5gh)
d)
√5gh)
37.
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
38.
The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle. You can treat the wheel as a thin uniform hoop (or ring) with a mass of 0.750 kg and a radius of 33.0 cm. What is the angular acceleration of the wheel?
a)
10.4 rad/s2
b)
3.43 rad/s2
c)
5.20 rad/s2
d)
1.06 rad/s2
39.
At what angle should the force be applied to a wrench to produce the maximum torque?
a)
00 to the handle
b)
900 to the handle
c)
1800 to the handle
d)
3600 to the handle
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