Question

If muscle times speed equals power, what physical quantity does muscle stand for?

Answer 1

Step 1: Given data

$Power=muscle\times speed$

Step 2: Obtaining power in terms of speed

Power is given as,

$P=\frac{W}{t}$

where, $W$ is work done and $t$ is time.

We know that work done is given as,

$W=Fd$

where, $F$ is force and $d$ is distance.

Therefore, the equation for power can also be written as,

$P=\frac{Fd}{t}[\because W=Fd]$

Now, speed is given as,

$s=\frac{d}{t}$

where, $d$ is distance and $t$ is time.

Therefore,

$$\begin{gathered} P=F\times \frac{d}{t} \\ P=Fs\left[\because s=\frac{d}{t}\right] \end{gathered}$$

Step 3: Finding what muscle represents

The equation obtained is,

$Power=force\times speed$

The given equation is,

$Power=muscle\times speed$

Comparing the two equations, it can be said that,

$muscle=force$

Therefore, muscle stands for force.