Consider the physical quantities s, a, and t with dimensions [s] = L, [v] = LT-!, [a] = LT -2, v, and [t] = T. Determine whether each of the following equations is dimensionally consistent: (a) s = vt + 0.5at2; (b) s = vt² + 0.5at; and (c) v = sin(ar²/s). a) Only "a" is consistent b) Only "b" is consistent c) Only "c" is consistent d) All equations are consistent

Consider the physical quantities s, a, and t with dimensions [s] = L, [v] = LT-!, [a] = LT -2, v, and [t] = T. Determine whether each of the following equations is dimensionally consistent: (a) s = vt + 0.5at2; (b) s = vt² + 0.5at; and (c) v = sin(ar²/s). a) Only "a" is consistent b) Only "b" is consistent c) Only "c" is consistent d) All equations are consistent

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.

Question

Consider the physical quantities s,
a, and t with dimensions [s] = L, [v] = LT=l, [a] = LT-2,
v,
and [t] = T.
Determine whether each of the following equations is dimensionally consistent: (a)
s = vt + 0.5at2; (b) s = vt² + 0.5at; and (c) v =
sin(ar² Is).
a) Only "a" is consistent
b) Only "b" is consistent
c) Only "c" is consistent
d) All equations are consistent

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