Chapter 9.2, Problem 22E

To determine

The expression in simplest form for the maximum walking speed

Answer to Problem 22E

  $104\text{inchespersecond}$

Explanation of Solution

Given:

The given expression is

  $\sqrt{384l}$

Where, ‘l’ = leg length

Leg Length = 28 inches

Calculation:

The expression in simplest form for the maximum walking speed can be calculated as:

  $\begin{array}{l}=\sqrt{384l}\\ =\sqrt{384\times 28}\\ ={\left(384\right)}^{\frac{1}{2}}{\left(28\right)}^{\frac{1}{2}}\\ ={\left(2\times 2\times 2\times 2\times 2\times 2\times 2\times 3\right)}^{\frac{1}{2}}{\left(2\times 2\times 7\right)}^{\frac{1}{2}}\\ =\left(2\times 2\times 2\times 2\right){\left(2\times 3\right)}^{\frac{1}{2}}{\left(7\right)}^{\frac{1}{2}}\\ =16\sqrt{2\times 3\times 7}\\ =16\sqrt{42}\text{inchespersecond}\\ =103.691\text{inchespersecond}\\ =104\text{inchespersecond}\end{array}$