4.53 B. 80.00 C. I.I +21.6 112.3 3.70 33.7 SSM Example 1-4 1-5 Dimensional analysis is a powerful way to check the results of a physics calculation 41. One equation that describes motion of an object is 5 xat+vot +xo, where x is the position of the object, a is ai the acceleration, t is time, vo is the initial speed, and xo is the initial position. Show that the dimensions in the equation are consistent. 42. . One equation that describes motion of an object is x ut t xo, where x is the position of the object, v is its speed, t is time, and xo is the initial position. Show that the dimensions inx bl the equation are consistent. SSM 43. . The motion of a vibrating system is described by y(x, t) A e-at sin(kx-wt). Find the SI units for k, a, and α. 44. . The kinetic energy of a particle is K m2, where m is the mass of the particle and v is its speed. Show that 1 joule (J), the SI unit of energy, is equivalent to 1 kg m2/s2. 45. .The period T of a simple pendulum, the time for one complete oscillation, is given by T 2TV(L/8), where L is the per length of the pendulum and g is the acceleration due to gravity Show that the dimensions in the equation are consistent obj in a 46 . Which of the following could be correct based on a body dimensional analysis? A. The volume flow rate is 64 m3/s B. The height of the Transamerica building is 332 m2. C. The time required for a fortnight is 66 m/s. D. The speed of the train is 9.8 m/s E. The weight of a standard kilogram mass is 2.2 lb F. The density of gold is 19.3 kg/m2. SSM to tra speed and in nifica amoun mass h in m General Problems 47. You hire a printer to print concert tickets. He delivers them in circular rolls labeled as 1000 tickets each. You want to check the number of tickets in each roll without counting thousands of tickets. You decide to do it by measuring the diameter of the rolls f th an
4.53 B. 80.00 C. I.I +21.6 112.3 3.70 33.7 SSM Example 1-4 1-5 Dimensional analysis is a powerful way to check the results of a physics calculation 41. One equation that describes motion of an object is 5 xat+vot +xo, where x is the position of the object, a is ai the acceleration, t is time, vo is the initial speed, and xo is the initial position. Show that the dimensions in the equation are consistent. 42. . One equation that describes motion of an object is x ut t xo, where x is the position of the object, v is its speed, t is time, and xo is the initial position. Show that the dimensions inx bl the equation are consistent. SSM 43. . The motion of a vibrating system is described by y(x, t) A e-at sin(kx-wt). Find the SI units for k, a, and α. 44. . The kinetic energy of a particle is K m2, where m is the mass of the particle and v is its speed. Show that 1 joule (J), the SI unit of energy, is equivalent to 1 kg m2/s2. 45. .The period T of a simple pendulum, the time for one complete oscillation, is given by T 2TV(L/8), where L is the per length of the pendulum and g is the acceleration due to gravity Show that the dimensions in the equation are consistent obj in a 46 . Which of the following could be correct based on a body dimensional analysis? A. The volume flow rate is 64 m3/s B. The height of the Transamerica building is 332 m2. C. The time required for a fortnight is 66 m/s. D. The speed of the train is 9.8 m/s E. The weight of a standard kilogram mass is 2.2 lb F. The density of gold is 19.3 kg/m2. SSM to tra speed and in nifica amoun mass h in m General Problems 47. You hire a printer to print concert tickets. He delivers them in circular rolls labeled as 1000 tickets each. You want to check the number of tickets in each roll without counting thousands of tickets. You decide to do it by measuring the diameter of the rolls f th an
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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question number 41
Transcribed Image Text:4.53 B.
80.00 C. I.I
+21.6 112.3 3.70 33.7 SSM
Example 1-4
1-5 Dimensional analysis is a powerful way to check the
results of a physics calculation
41. One equation that describes motion of an object is
5
xat+vot +xo, where x is the position of the object, a is
ai
the acceleration, t is time, vo is the initial speed, and xo is the initial
position. Show that the dimensions in the equation are consistent.
42. . One equation that describes motion of an object is x
ut t xo, where x is the position of the object, v is its speed, t is
time, and xo is the initial position. Show that the dimensions inx
bl
the equation are consistent. SSM
43. . The motion of a vibrating system is described by y(x, t)
A e-at sin(kx-wt). Find the SI units for k, a, and α.
44. . The kinetic energy of a particle is K m2, where m is
the mass of the particle and v is its speed. Show that 1 joule (J),
the SI unit of energy, is equivalent to 1 kg m2/s2.
45. .The period T of a simple pendulum, the time for one
complete oscillation, is given by T 2TV(L/8), where L is the per
length of the pendulum and g is the acceleration due to gravity
Show that the dimensions in the equation are consistent
obj
in a
46 . Which of the following could be correct based on a body
dimensional analysis?
A. The volume flow rate is 64 m3/s
B. The height of the Transamerica building is 332 m2.
C. The time required for a fortnight is 66 m/s.
D. The speed of the train is 9.8 m/s
E. The weight of a standard kilogram mass is 2.2 lb
F. The density of gold is 19.3 kg/m2. SSM
to tra
speed
and in
nifica
amoun
mass
h in m
General Problems
47. You hire a printer to print concert tickets. He delivers
them in circular rolls labeled as 1000 tickets each. You want
to check the number of tickets in each roll without counting
thousands of tickets. You decide to do it by measuring the
diameter of the rolls f th
an
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