Chapter 9 Problems
Conceptual Problems
C.1 Is it possible for a rotating object to have increasing angular speed and negative angular acceleration? Explain your answer.
Yes NoC.2 Order these three cities from smallest to largest tangential velocity due to the rotation of the Earth: Washington, DC, USA;
Havana, Cuba; Ottawa, Canada.
smallest: i. Havana
ii. Ottawa
iii. Washington
middle: i. Havana
ii. Ottawa
iii. Washington
largest: i. Havana
ii. Ottawa
iii. Washington
Section Problems
Section 0 - Introduction
0.1 Use the simulation in the interactive problem in this section to answer the following questions. (a) If you increase the period,
will the angular velocity increase, decrease or stay the same? (b) If you increase the period, will the linear speed increase,
decrease or stay the same? (c) If you increase the distance from the center, will the angular velocity increase, decrease or
stay the same? (d) If you increase the distance from the center, will the linear speed increase, decrease or stay the same?
(a) i. Increase
ii. Stay the same
iii. Decrease
(b) i. Increase
ii. Stay the same
iii. Decrease
(c) i. Increase
ii. Stay the same
iii. Decrease
(d) i. Increase
ii. Stay the same
iii. Decrease
0.2 Using the simulation in the interactive problem in this section and referring to your answers to the previous problem, what is
the best way to maximize the linear speed of the rocket? Test your answer using the simulation.
i. Maximize both the period and the distance from the center
ii. Maximize the period and minimize the distance from the center
iii. Minimize both the period and the distance from the center
iv. Minimize the period and maximize the distance from the center
Section 1 - Angular position
1.1 Two cars are traveling around a circular track. The angle between them, from the center of the circle, is 55° and the track has
a radius of 50 m. How far apart are the two cars, as measured around the curve of the track?
m1.2 Glenn starts his day by walking around a circular track with radius 48 m for 15 minutes. First he walks in a counterclockwise
direction for 1000 meters, then he walks clockwise until the 15 minutes are up. This morning, his clockwise walk is 880 meters
long. When he ends his walk, what is his angular position with respect to where he starts?radSection 2 - Angular displacement
2.1 A dancer completes 2.2 revolutions in a pirouette. What is her angular displacement?
rad