A student has derived the following nondimensionally homogeneous equation: a =x/

Question

A student has derived the following nondimensionally homogeneous equation: a =x/t2 - vt + F/m where v is a velocity's magnitude, a is an acceleration's magnitude, t is a time, m is a mass, F is a force's magnitude, and a; is a distance (or length). Which terms are dimensionally homogeneous? The dimensional consistency of the terms can be used to detect algebraic errors. Consider the following equation: F/A = 9/A + rho v2 +mg /l2 where v is a velocity's magnitude, a is an acceleration's magnitude, A is an area, m is a mass, L is a length (or distance), g is another acceleration's magnitude, p is a density (mass per unit volume), and F is a force's magnitude. Which terms dimensionally homogeneous?

Explanation / Answer

B) a F/m and x/t^2

C) rho *v^2 ma/L^2 and F/A

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