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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

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 81AP: Consider the equation s=s0+v0t+a0t2/2+j0t3/6+s0t4/24+ct5/120 , were s is a length and t is a time....
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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
Transcribed Image Text: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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