Problems [1] Show that the expression x-vt+1/2ar is dimensionally correct, where x is a coordinate and has units of length, v is velocity, a is acceleration, and r is time. [2] Which of the equations below are dimensionally correct? (a) v= votat (b) y=(2m)cos(k), where k=2 m. [3] Show that the equation v v+ 2at is dimensionally correct, where v and v, represent velocities, a is acceleration and x is a distance.

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 1.6CYU: Check Your Understanding Is the equation v=atdimensionally consistent? One further point thin needs...
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Unit 1
Problems
[1] Show that the expression x-vt+1/2ar is dimensionally correct, where x is a coordinate
and has units of length, v is velocity, a is acceleration, and t is time.
[2] Which of the equations below are dimensionally correct?
(a)
v = votat
(b) y (2m)cos(kx),
where k=2 m'.
[3] Show that the equation v v+2at is dimensionally correct, where v and vo represent
velocities, a is acceleration and x is a distance.
[4] The period T of simple pendulum is measured in time units and given by
1-20
where I is the length of the pendulum and g is the acceleration due to gravity. Show that the
equation is dimensionally correct.
[5] Suppose that the displacement of a particle is related to time according to the expression
s= cr. What are the dimensions of the constant c?
Transcribed Image Text:Unit 1 Problems [1] Show that the expression x-vt+1/2ar is dimensionally correct, where x is a coordinate and has units of length, v is velocity, a is acceleration, and t is time. [2] Which of the equations below are dimensionally correct? (a) v = votat (b) y (2m)cos(kx), where k=2 m'. [3] Show that the equation v v+2at is dimensionally correct, where v and vo represent velocities, a is acceleration and x is a distance. [4] The period T of simple pendulum is measured in time units and given by 1-20 where I is the length of the pendulum and g is the acceleration due to gravity. Show that the equation is dimensionally correct. [5] Suppose that the displacement of a particle is related to time according to the expression s= cr. What are the dimensions of the constant c?
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