Chapter 10: Rotational Kinematics and Energy
Practice Questions




1.  

A wheel of radius 1 m is spinning with a constant angular velocity of 2 rad/s. What is the centripetal acceleration of a point on the wheel's rim?

0.5 m/s2
1 m/s2
2 m/s2
4 m/s2


2.  

A wheel of radius .5 m is spinning with a constant angular velocity of 2 rad/s. What is the centripetal acceleration of a point on the wheel's rim?

0.5 m/s2
1 m/s2
2 m/s2
4 m/s2


3.  

Marilyn (M) and her twin sister Sheila (S) are riding on a merry-go-round revolving at a constant rate. Sheila is half way in from the edge, as shown (bird's-eye view).

They have different speeds, and different angular velocities.
They have the same speed, but their angular velocity is different.
They have different speeds, but the same angular velocity.
They have the same speed and the same angular velocity.


4.  

Marilyn (M) and her twin sister Sheila (S) are riding on a merry-go-round revolving at a constant rate. Sheila is half way in from the edge, as shown (bird's-eye view).

What is the relationship between Marilyn's and Sheila's angular acceleration?

Marilyn's is greater than Sheila's.
Sheila's is greater than Marilyn's.
It is the same for both and non-zero.
It is the same for both and equals zero.


5.  

Marilyn (M) and her twin sister Sheila (S) are riding on a merry-go-round revolving at a constant rate. Sheila is half way in from the edge, as shown (bird's-eye view).

What is the relationship between the centripedal (radial) acceleration of the two sisters?

Marilyn's is 8 times greater than Sheila's.
Marilyn's is 4 times greater than Sheila's.
Marilyn's is twice as great as Sheila's.
They are the same.


6.  

Marilyn (M) and her twin sister Sheila (S) are riding on a merry-go-round revolving at a constant rate. Sheila is half way in from the edge, as shown (bird's-eye view).

What is the relationship between the rotational kinetic energy of the two sisters?

Marilyn's is 8 times greater than Sheila's.
Marilyn's is 4 times greater than Sheila's.
Marilyn's is twice as great as Sheila's.
They are the same.


7.  

The record player on the turntable of your stereo is rotating clockwise (as seen from above). After turning it off, your turntable is slowing down, but hasn't stopped yet. The direction of the acceleration of point P (at the left) is



8.  

The three 'point' 1 kg masses in the figure are at (x,y)=(0,0),(4,3), and (8,0), respectively. What is the rotational inertia about an axis perpendicular to the figure and through the mass in the lower left hand corner?

25 kg m2
41 kg m2
64 kg m2
89 kg m2


9.  

The three 'point' 1 kg masses in the figure are at (x,y)=(0,0),(4,3), and (8,0), respectively. What is the rotational inertia of the masses in the figure about an axis perpendicular to the figure and through the point half way between the two lower masses at (x,y)=(4,0)?

25 kg m2
41 kg m2
64 kg m2
89 kg m2


10.  

The three 'point' 1 kg masses in the figure are at (x,y)=(0,0),(4,3), and (8,0), respectively. What is the rotational inertia of the masses about the x axis?

80 kg m2
41 kg m2
25 kg m2
9 kg m2


11.  

The three 'point' 1 kg masses in the figure are at (x,y)=(0,0),(4,3), and (8,0), respectively. What is the rotational inertia of the masses about the y axis?

80 kg m2
41 kg m2
25 kg m2
9 kg m2


12.  

A 0.5 meter diameter bicycle wheel initially rotating at 60 rpm rolls to rest at a constant rate in 10 seconds. What is its initial angular speed in radians per second?

377 radians/second.
6 radians/second.
6.28 radians/second.
3.14 radians/second.


13.  

What is the linear speed of a point on the rim of the wheel?

60 m/s
6.28 m/s
3.14 m/s
1.57 m/s


14.  

What is the centripedal acceleration of a point on the wheels rim?

19.9 m/s2
9.9 m/s2
8.7 m/s2
4.7 m/s2


15.  

What is the magnitude of the angular acceleration in radians/s2 of the bike wheel?

0.2
0.34
0.63
1.2


16.  

What is the tangential acceleration of the point in the previous question?

0.16 m/s2
0.32 m/s2
0.48 m/s2
0.64 m/s2


17.  

How far does the wheel move across the ground in coming to a stop?

4.0 m
7.85 m
12 m
31.4 m


18.  

If the wheel in questions 12 through 17 has a mass of 2 kg what is its rotational inertia?

0.125 kgm2
0.25 kgm2
0.50 kgm2
1.0 kgm2


19.  

What was the initial rotational energy of the wheel?

2.5 J
4.1 J
5 J
10.22 J


20.  

What is the translational kinetic energy of the wheel?

2.5 Joules
5 J
7.5 J
10 J


21.  

If the wheel we have been studying is brought to rest because it is going up a constant slope hill what is the angle of the slope?

30 degrees
10 degrees
4 degrees
2 degrees


22.  

The hill in the picture is 5 meters high, how fast is the hoop traveling at the bottom?

3.4 m/s
7 m/s
10.4 m/s
12 m/s


23.  

The hill in the picture is 5 meters high, how fast is the sphere traveling at the bottom?

7 m/s
8.4 m/s
10 m/s
12.4 m/s


24.  

The hill in the picture is 5 meters high, how fast is the hoop traveling at the bottom?

8.1 m/s
7 m/s
4 m/s
11.3 m/s


Practice Questions: Practice Questions by Carl Adler, East Carolina University. ©2002 by Prentice Hall, Inc.


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