Question 1

A ball attached to a string starts at rest and undergoes a constant angular acceleration as it travels in a horizontal circle of radius 0.30 m. After 0.65 sec, the angular speed of the ball is 9.7 rad/s. What is the tangential acceleration of the ball?

Accepted Answer

A)  4.5 m/s2
B)  0.32 m/s2
C)  15 m/s2
D)  7.6 m/s2
E)  28 m/s2F) B) and E)
G) A) and C)

Question 2

An airplane engine starts from rest; and 2 seconds later, it is rotating with an angular speed of 420 rev/min. If the angular acceleration is constant, how many revolutions does the propeller undergo during this time?

Accepted Answer

A)  7
B)  14
C)  21
D)  49
E)  150F) None of the above
G) B) and E)

Question 3

On an amusement park ride, passengers are seated in a horizontal circle of radius 7.5 m. The seats begin from rest and are uniformly accelerated for 21 seconds to a maximum rotational speed of 1.4 rad/s.
-What is the instantaneous tangential speed of the passengers 15 s after the acceleration begins?

Accepted Answer

A)  0.067 m/s
B)  0.50 m/s
C)  1.4 m/s
D)  7.5 m/s
E)  11 m/sF) B) and C)
G) All of the above

Question 4

A grindstone, initially at rest, is given a constant angular acceleration so that it makes 20.0 rev in the first 8.00 s. What is its angular acceleration?

Accepted Answer

A)  0.313 rad/s2
B)  0.625 rad/s2
C)  2.50 rad/s2
D)  1.97 rad/s2
E)  3.93 rad/s2F) C) and E)
G) C) and D)

Question 5

A top is spinning counterclockwise as shown in the figure. It is also moving to the right with a linear speed v. What is the direction of the angular velocity?

Accepted Answer

A)  upward
B)  downward
C)  left
D)  right
E)  into the paperF) A) and E)
G) A) and D)

Question 6

A wheel turns through an angle of 188 radians in 8.0 s; and its angular speed at the end of the period is 44 rad/s. If the angular acceleration is constant, what was the angular speed of the wheel at the beginning of the 8.0 s interval?

Accepted Answer

A)  3.0 rad/s
B)  7.0 rad/s
C)  9.1 rad/s
D)  23.5 rad/s
E)  32.5 rad/sF) D) and E)
G) A) and B)

Question 7

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant.
-What is the average angular speed of the grindstone?

Accepted Answer

A)  0.5 rad/s
B)  2.0 rad/s
C)  4.0 rad/s
D)  8.0 rad/s
E)  10 rad/sF) B) and D)
G) C) and E)

Question 8

A wheel, originally rotating at 126 rad/s undergoes a constant angular deceleration of 5.00 rad/s2. What is its angular speed after it has turned through an angle of 628 radians?

Accepted Answer

A)  15 rad/s
B)  19 rad/s
C)  98 rad/s
D)  121 rad/s
E)  150 rad/sF) A) and E)
G) C) and E)

Question 9

The Earth takes slightly less than one day to complete one rotation about the axis passing through its poles. The actual time is 8.616 × 104 s. Given this information, what is the angular speed of the Earth about its axis?

Accepted Answer

A)  7.292 × 10-5 rad/s
B)  2.321 × 10-6 rad/s
C)  9.951 × 10-5 rad/s
D)  6.334 × 10-4 rad/s
E)  1.990 × 10-7 rad/sF) B) and E)
G) None of the above

Question 10

A car is moving along a horizontal road at a constant velocity that is directed 45° south of east. What is the direction of the angular velocity of the wheels of the car?

Accepted Answer

A)  45° south of west
B)  45° north of west
C)  45° south of east
D)  45° north of east
E)  due eastF) None of the above
G) B) and D)

Question 11

A wheel with a 0.10-m radius is rotating at 35 rev/s. It then slows uniformly to 15 rev/s over a 3.0-s interval. What is the angular acceleration of a point on the wheel?

Accepted Answer

A)  -2.0 rev/s2
B)  0.67 rev/s2
C)  -6.7 rev/s2
D)  42 rev/s2
E)  -17 rev/s2F) C) and D)
G) A) and C)

Question 12

A sculptor is sharpening a chisel on grindstone of radius 1.0 m that is spinning with a constant angular speed of 2.0 rad/s.
-What is the tangential speed of a point on the rim of the grindstone?

Accepted Answer

A)  zero m/s
B)  0.5 m/s
C)  1.0 m/s
D)  2.0 m/s
E)  4.0 m/sF) A) and E)
G) B) and C)

Question 13

Joe is painting the floor of his basement using a paint roller. The roller has a mass of 2.4 kg and a radius of 3.8 cm. In rolling the roller across the floor, Joe applies a force F = 16 N directed at an angle of 35° as shown. Ignoring the mass of the roller handle, what is the magnitude of the angular acceleration of the roller? 1 rad/s2 B) 1.0 × 102 rad/s2 C) 1.7 × 102 rad/s2 D) 2.3 × 102 rad/s2 E) 2.8 × 102 rad/s2" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)  7.2 × 101 rad/s2
B)  1.0 × 102 rad/s2
C)  1.7 × 102 rad/s2
D)  2.3 × 102 rad/s2
E)  2.8 × 102 rad/s2F) A) and E)
G) All of the above B

Question 14

A circular disk of radius 0.015 m rotates with a constant angular speed of 5.0 rev/s. What is the acceleration of a point on the edge of the disk?

Accepted Answer

A)  0.31 m/s2
B)  1.6 m/s2
C)  9.9 m/s2
D)  15 m/s2
E)  zero m/s2F) B) and E)
G) B) and D)

Question 15

What is the angular speed in rad/s of the second hand of a watch?

Accepted Answer

A)  1.7 × 10-3 rad/s
B)  0.10 rad/s
C)  0.02 rad/s
D)  6.28 rad/s
E)  60 rad/sF) C) and D)
G) All of the above B

Question 16

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant.
-What is the magnitude of the angular acceleration of the grindstone?

Accepted Answer

A)  0.50 rad/s2
B)  1.0 rad/s2
C)  4.5 rad/s2
D)  9.0 rad/s2
E)  18 rad/s2F) A) and C)
G) All of the above

Question 17

A spinning disc rotating at 130 rev/min slows and stops 31 s later. How many revolutions did the disc make during this time?

Accepted Answer

A)  34
B)  67
C)  8.4
D)  17
E)  4.2F) D) and E)
G) B) and E)

Question 18

What is the tangential speed of a lug nut on a wheel of a car if the lug nut is located 0.114 m from the axis of rotation; and the wheel is rotating at 6.53 rev/sec?

Accepted Answer

A)  0.745 m/s
B)  1.49 m/s
C)  2.98 m/s
D)  4.68 m/s
E)  9.36 m/sF) C) and E)
G) B) and C)

Question 19

A bicycle wheel of radius 0.70 m is rolling without slipping on a horizontal surface with an angular speed of 2.0 rev/s when the cyclist begins to uniformly apply the brakes. The bicycle stops in 5.0 s.
-How far did the bicycle travel during the 5.0 seconds of braking?

Accepted Answer

A)  1.8 m
B)  8.8 m
C)  22 m
D)  42 m
E)  44 mF) C) and D)
G) A) and E) C

Question 20

During the time a compact disc (CD)  accelerates from rest to a constant rotational speed of 477 rev/min, it rotates through an angular displacement of 0.250 rev. What is the angular acceleration of the CD?

Accepted Answer

A)  358 rad/s2
B)  126 rad/s2
C)  901 rad/s2
D)  866 rad/s2
E)  794 rad/s2F) A) and B)
G) D) and E)

Exam 8: Rotational Kinematics

A ball attached to a string starts at rest and undergoes a constant angular acceleration as it travels in a horizontal circle of radius 0.30 m. After 0.65 sec, the angular speed of the ball is 9.7 rad/s. What is the tangential acceleration of the ball?

Correct Answer
verified

An airplane engine starts from rest; and 2 seconds later, it is rotating with an angular speed of 420 rev/min. If the angular acceleration is constant, how many revolutions does the propeller undergo during this time?

Correct Answer
verified

Correct Answer
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A grindstone, initially at rest, is given a constant angular acceleration so that it makes 20.0 rev in the first 8.00 s. What is its angular acceleration?

Correct Answer
verified

A top is spinning counterclockwise as shown in the figure. It is also moving to the right with a linear speed v. What is the direction of the angular velocity?

Correct Answer
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A wheel turns through an angle of 188 radians in 8.0 s; and its angular speed at the end of the period is 44 rad/s. If the angular acceleration is constant, what was the angular speed of the wheel at the beginning of the 8.0 s interval?

Correct Answer
verified

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant. -What is the average angular speed of the grindstone?

Correct Answer
verified

A wheel, originally rotating at 126 rad/s undergoes a constant angular deceleration of 5.00 rad/s². What is its angular speed after it has turned through an angle of 628 radians?

Correct Answer
verified

The Earth takes slightly less than one day to complete one rotation about the axis passing through its poles. The actual time is 8.616 × 10⁴ s. Given this information, what is the angular speed of the Earth about its axis?

Correct Answer
verified

A car is moving along a horizontal road at a constant velocity that is directed 45° south of east. What is the direction of the angular velocity of the wheels of the car?

Correct Answer
verified

A wheel with a 0.10-m radius is rotating at 35 rev/s. It then slows uniformly to 15 rev/s over a 3.0-s interval. What is the angular acceleration of a point on the wheel?

Correct Answer
verified

A sculptor is sharpening a chisel on grindstone of radius 1.0 m that is spinning with a constant angular speed of 2.0 rad/s. -What is the tangential speed of a point on the rim of the grindstone?

Correct Answer
verified

Correct Answer
verified
B

A circular disk of radius 0.015 m rotates with a constant angular speed of 5.0 rev/s. What is the acceleration of a point on the edge of the disk?

Correct Answer
verified

What is the angular speed in rad/s of the second hand of a watch?

Correct Answer
verified
B

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant. -What is the magnitude of the angular acceleration of the grindstone?

Correct Answer
verified

A spinning disc rotating at 130 rev/min slows and stops 31 s later. How many revolutions did the disc make during this time?

Correct Answer
verified

What is the tangential speed of a lug nut on a wheel of a car if the lug nut is located 0.114 m from the axis of rotation; and the wheel is rotating at 6.53 rev/sec?

Correct Answer
verified

A bicycle wheel of radius 0.70 m is rolling without slipping on a horizontal surface with an angular speed of 2.0 rev/s when the cyclist begins to uniformly apply the brakes. The bicycle stops in 5.0 s. -How far did the bicycle travel during the 5.0 seconds of braking?

Correct Answer
verified
C

During the time a compact disc (CD) accelerates from rest to a constant rotational speed of 477 rev/min, it rotates through an angular displacement of 0.250 rev. What is the angular acceleration of the CD?

Correct Answer
verified

Exam 8: Rotational Kinematics

A ball attached to a string starts at rest and undergoes a constant angular acceleration as it travels in a horizontal circle of radius 0.30 m. After 0.65 sec, the angular speed of the ball is 9.7 rad/s. What is the tangential acceleration of the ball?

Correct AnswerverifiedShow Answer

An airplane engine starts from rest; and 2 seconds later, it is rotating with an angular speed of 420 rev/min. If the angular acceleration is constant, how many revolutions does the propeller undergo during this time?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A grindstone, initially at rest, is given a constant angular acceleration so that it makes 20.0 rev in the first 8.00 s. What is its angular acceleration?

Correct AnswerverifiedShow Answer

A top is spinning counterclockwise as shown in the figure. It is also moving to the right with a linear speed v. What is the direction of the angular velocity?

Correct AnswerverifiedShow Answer

A wheel turns through an angle of 188 radians in 8.0 s; and its angular speed at the end of the period is 44 rad/s. If the angular acceleration is constant, what was the angular speed of the wheel at the beginning of the 8.0 s interval?

Correct AnswerverifiedShow Answer

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant. -What is the average angular speed of the grindstone?

Correct AnswerverifiedShow Answer

A wheel, originally rotating at 126 rad/s undergoes a constant angular deceleration of 5.00 rad/s2. What is its angular speed after it has turned through an angle of 628 radians?

Correct AnswerverifiedShow Answer

The Earth takes slightly less than one day to complete one rotation about the axis passing through its poles. The actual time is 8.616 × 104 s. Given this information, what is the angular speed of the Earth about its axis?

Correct AnswerverifiedShow Answer

A car is moving along a horizontal road at a constant velocity that is directed 45° south of east. What is the direction of the angular velocity of the wheels of the car?

Correct AnswerverifiedShow Answer

A wheel with a 0.10-m radius is rotating at 35 rev/s. It then slows uniformly to 15 rev/s over a 3.0-s interval. What is the angular acceleration of a point on the wheel?

Correct AnswerverifiedShow Answer

A sculptor is sharpening a chisel on grindstone of radius 1.0 m that is spinning with a constant angular speed of 2.0 rad/s. -What is the tangential speed of a point on the rim of the grindstone?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedB

A circular disk of radius 0.015 m rotates with a constant angular speed of 5.0 rev/s. What is the acceleration of a point on the edge of the disk?

Correct AnswerverifiedShow Answer

What is the angular speed in rad/s of the second hand of a watch?

Correct AnswerverifiedB

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant. -What is the magnitude of the angular acceleration of the grindstone?

Correct AnswerverifiedShow Answer

A spinning disc rotating at 130 rev/min slows and stops 31 s later. How many revolutions did the disc make during this time?

Correct AnswerverifiedShow Answer

What is the tangential speed of a lug nut on a wheel of a car if the lug nut is located 0.114 m from the axis of rotation; and the wheel is rotating at 6.53 rev/sec?

Correct AnswerverifiedShow Answer

A bicycle wheel of radius 0.70 m is rolling without slipping on a horizontal surface with an angular speed of 2.0 rev/s when the cyclist begins to uniformly apply the brakes. The bicycle stops in 5.0 s. -How far did the bicycle travel during the 5.0 seconds of braking?

Correct AnswerverifiedC

During the time a compact disc (CD) accelerates from rest to a constant rotational speed of 477 rev/min, it rotates through an angular displacement of 0.250 rev. What is the angular acceleration of the CD?

Correct AnswerverifiedShow Answer

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
verified

A wheel, originally rotating at 126 rad/s undergoes a constant angular deceleration of 5.00 rad/s². What is its angular speed after it has turned through an angle of 628 radians?

Correct Answer
verified

The Earth takes slightly less than one day to complete one rotation about the axis passing through its poles. The actual time is 8.616 × 10⁴ s. Given this information, what is the angular speed of the Earth about its axis?

Correct Answer
verified

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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B

Correct Answer
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B

Correct Answer
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C

Correct Answer
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