Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
4th Edition
ISBN: 9780134639673
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Chapter 9.2, Problem 3CC

What are the dimensions of the value 6 in the following equation, assuming T is temperature [kelvin, K] and P is algae population [gram per milliliter, g/mL]?

T=102e–6P

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physical quantities m, r, u, a, and t with dimensions [m] = M, [r]= L, [v] = LT, [a] = LT-2, and [t] = T. Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L, T, and exponents. Assume that each of the following equations is dimensionally consistent. F = ma [F] =
Check the following equation for dimensional homogeneity: mu = (Fcos) at where m is mass, v is velocity, F is force, is an angle, and it is time. Check that each term in the equation has the following dimensions: [MOLT] where you are to choose the coefficients a, b, c. Answers: b= C= i i
Check the following equation for dimensional homogeneity: mv = = 1.5² (Fcose) dt where m is mass, v is velocity, F is force, is an angle, and t is time. Check that each term in the equation has the following dimensions: [MªLbTC] where you are to choose the coefficients a, b, c. Answers: a = i b = i C=

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