Physics Principles and Problems 2009

Chapter 8: Rotational Motion

Standardized Test Practice

1
If a car has a linear acceleration of 1.8 m/s2 and the radius of its wheels is 0.33 m, what is the angular acceleration of the wheels?
A)0.18 rad/s2
B)0.59 rad/s2
C)5.5 rad/s2
D)9.8 rad/s2
2
If the car in the previous problem started from rest, how many revolutions does one of the car's wheels complete in 10.0 s?
A)55 rev
B)270 rev
C)43 rev
D)8.8 rev
3
Jorge tightens a bolt on his bicycle with a wrench that is 0.20 m long. If he pulls perpendicularly on the end of the wrench with a force of 140 N, how much torque does he apply?
A)2.8 N·m
B)5.6 N·m
C)14 N·m
D)28 N·m
4
Salma, who has a mass of 42 kg, and Josh, who has a mass of 45 kg, are trying to balance a seesaw. Salma's position is shown in the diagram. How far should Josh sit from the pivot point to balance Salma?
  Need a Hint?
A)0.86 m
B)0.80 m
C)0.75 m
D)0.72 m
5
Given Josh's distance from the pivot point in order to balance Salma, what must be his moment of inertia?
A)25 kg·m2
B)27 kg·m2
C)29 kg·m2
D)110 kg·m2
6
A 0.50-m length of string with a 0.20-kg weight at one end is rotated around the other end, as shown in the diagram.

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Assuming the mass of the string is zero and the weight is a point mass, what is the moment of inertia of the weight?
A)0.020 kg·m2
B)0.050 kg·m2
C)0.10 kg·m2
D)0.50 kg·m2
7
An external torque is applied to an object with a narrow base. Which location for the center of mass would make the object less likely to tip over?
A)Just above the base
B)High above the base
C)Just outside the base
D)Far outside the base
8
A solid sphere with a radius of 0.050 m and a mass of 3.0 kg has a rod through its center. A net torque of 6.0 × 10-4 kg·m2 is used to spin the sphere about the rod. What is the sphere's angular acceleration?
  Need a Hint?
A)0.20 rad/s2
B)0.21 rad/s2
C)2.5 rad/s2
D)5.0 rad/s2
9
Suppose you are standing on the edge of a merry-go-round that is rotating clockwise. At the twelve o'clock position, you toss a ball to someone standing at the edge of the merry-go-round, but not on it, at the six o'clock position. Which sentence below best describes the horizontal motion of the ball from your perspective?
A)The ball travels in a straight line at constant speed toward the edge of the merry-go-round at the six o'clock position.
B)The ball travels in a curved path at constant speed toward the edge of the merry-go-round close to the four o'clock position.
C)The ball travels in a curved path at constant speed toward the edge of the merry-go-round at the six o'clock position.
D)The ball travels in a straight line toward the four o'clock position.
10
In order for a bolt to be tightened, a torque of 45.0 N·m is needed. You use a 0.341-m long wrench, and you exert a maximum force of 189 N at an angle as shown below. What is the smallest angle, with respect to the wrench, at which you can exert this force and still tighten the bolt?

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A)33.4°
B)34.3°
C)43.4°
D)44.3°
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