Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 63EAP
You’ve been assigned the task of using a shaft encoder—a device that measures the angle of a shaft or axle and provides a signal to a computer—to analyze the rotation of an engine cranks haft under certain conditions. The table lists the crankshaft’s angles over a 0.6 s interval.
Time (s) Angle (rad)
0.0 0.0
0.1 2.0
0.2 3.2
0.3 4.3
0.4 5.3
0.5 6.1
0.6 7.0
Is the crankshaft rotating with uniform circular motion? If so, what is its
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The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send a drone ahead to help
navigate. After takeoff you lose sight of the drone and, a few seconds later, the controls malfunction and the drone stops sending visual
images and navigational information except for speed and directional data. Changing speeds erratically, the drone heads west until it
makes a drastic turn at the 5-minute mark to B = 30° east of south. After nearly ten minutes, the speed drops to zero and the drone
stops sending data. It has crashed. Using the speed/directional data, the team draws up the graph shown below.
(a) How far is the drone from you?
(b) In what direction must you go to retrieve it? Express your result as a geographical direction west of south.
20
(s/w) /
Velocity
15
10
LO
5
0
0
WEST
100
200
300
Time t (s)
3° East of South
400
500
600
Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 10.7 seconds to get up to its full speed of f1 = 78 revolutions per minute.Case 2: The DJ then changes the speed of the turntable from f1 = 78 to f2 = 120 revolutions per minute. She notices that the turntable rotates exactly n2= 16 times while accelerating uniformly.
a)How many revolutions does the turntable make while accelerating in Case 1?
b)Calculate the magnitude of the angular acceleration of the turntable in Case 1, in radians/second2.
c)How long (in seconds) does it take for the turntable to go from f1 = 78 to f2 = 120 RPM?
12.0
B = 5.0
F = 20.0
86400 365)
%3D
24 (6)60) =
Esc
60°
A = 10.0
30
30°
53°
D = 20.0
37°
Assuming the +x-axis is horizontal to the right for the vectors in the figure, find the following scalar
products.
a. Ā . B-
b. Č - (- 3) -
c. Dx F-
a. (5 x F) - ( x Ã) -
Chapter 4 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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