College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question
Please perform dimensional analysis and determine the dimensions of each of the constant parameters appearing on the screenshot. Show your work please so I can understand the process.
PHYSICS 221 FA23 EXERCISES - DIMENSIONAL ANALYSIS Exercise-1 In the below problems r(t) represents the position of an object at time t, v(t) represents the velocity of an object at time t, and a(t) represents the acceleration of an object at time t. All of the other parameters (a, 6, 7, 8, e) are constants. Please determine the dimensions of each of the constant parameters appearing below.
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Transcribed Image Text:PHYSICS 221 FA23 EXERCISES - DIMENSIONAL ANALYSIS Exercise-1 In the below problems r(t) represents the position of an object at time t, v(t) represents the velocity of an object at time t, and a(t) represents the acceleration of an object at time t. All of the other parameters (a, 6, 7, 8, e) are constants. Please determine the dimensions of each of the constant parameters appearing below.
a(t) = at³ + ßt² + yt + d a(t) = a sin(pt) a(x) = √ √² = ³²x³² [a] = [T² [] []=[C] v(t) = exp(cos(+)²) dx v (~) = a√ √₁ - ²³² [a] = [T¹],[]=[²]
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Transcribed Image Text:a(t) = at³ + ßt² + yt + d a(t) = a sin(pt) a(x) = √ √² = ³²x³² [a] = [T² [] []=[C] v(t) = exp(cos(+)²) dx v (~) = a√ √₁ - ²³² [a] = [T¹],[]=[²]
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