Question

Which of the following equations is not dimensionally consistent? the symbols have their usual meaning.

s=ut−gt2

Ft=mv−m0

−kx+F0sinωt=ma

ω2=ω20+αθ

Answer 1

Answer on question #51852, Physics, Mechanics — Kinematics — Dynamics

Question Which of the following equations is not dimensionally consistent? the symbols have their usual meaning.

$s=ut-gt^{2}$

$Ft=mv-m_{0}$

$-kx+F_{0}\sin\omega t=ma$

$w^{2}=w_{0}^{2}+\alpha\theta$

Solution Equation $Ft=mv-m_{0}$ is not dimensionally consistent, because $m_{0}$ has dimension of mass, while other terms in this equation have dimension of force.

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