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, b, 7, 8, e) are constants. Please determine the dimensions of each of the constant parameters appearing below.

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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.
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]
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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