10 Questions
What is the fundamental unit of length in the given conversion of miles per hour to meters per second?
Meter (m)
What is the dimensional analysis of the equation d = vt^2, where d is distance, v is velocity, and t is time?
[L] = [LT^-1][T^2]
Which of the following conversions is an example of dimensional analysis?
Converting miles per hour to meters per second
What is the unit of time in the given conversion of miles per hour to meters per second?
Seconds (s)
What is the importance of dimensional analysis in equations?
To ensure the dimensions on the left side are equal to the right side
What is the result of the conversion of 1 mile per hour to meters per second using dimensional analysis?
0.477 m/s
What is the dimensional analysis of the equation v = d/t, where v is velocity, d is distance, and t is time?
[LT^-1] = [L][T^-1]
What is the purpose of cross-multiplication in dimensional analysis?
To cancel out units
Which of the following equations is dimensionally incorrect?
d = vt^2
What is the benefit of using dimensional analysis in problem-solving?
It helps to ensure the correctness of the equation
Understand the importance of units and dimensions in describing physical quantities. Learn about the different measurement systems, including the MKS system, and how it is used to measure length, mass, and time.
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