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# An athletic coach told his team that muscle times speed is equal to power. What dimension does he view for muscle ?

$(a)\;MLT^{-2}\quad (b)\;ML^{2}T^{-2}\quad (c)\;MLT^2\quad (d)\;L$

$power=muscle \times speed$
$muscle=\Large\frac{power}{speed}$
$\qquad\quad= \large\frac{[MLT^{-2}] \times [L]}{[T][LT^{-1}]}$
$\qquad\quad=[MLT^{-2}]$
Hence a is the correct answer.

edited Jan 9, 2014 by meena.p