Chapter 2.6, Problem 29P

A runner is running 10 miles per hour.

a. What conversion factors should be used to convert $10\text{mi}/\text{hr}$ to $\text{ft}/\text{s}$?

b. How many feet per second is the runner running?

To determine

To Find: The conversion factor used to convert $10\text{mi/hr}$ to $\text{ft/s}$

Answer to Problem 29P

conversion factor $1\text{mi/hr =}1.467\text{ft/s}$

Explanation of Solution

Calculation:

  $1\text{ mi = 5280}\text{ft}\mathrm{....}\left(1\right)$

  $1\text{ hr = }3600\text{s}\mathrm{....}\left(2\right)$

On dividing both the equations

  $\begin{array}{l}\frac{1\text{ mi}}{1\text{hr}}\text{ = }\frac{\text{5280}\text{ft}}{3600\text{ s}}\\ \frac{1\text{ mi}}{1\text{hr}}\text{ = }\frac{\text{5280}\text{ft}}{3600\text{ s}}\\ 1\text{mi/hr =}1.467\text{ft/s}\end{array}$

To determine

Answer to Problem 29P

  $\text{14}\text{.67}\text{ft/s}$

Explanation of Solution

Given:

Distance covered by the runner in one hour $=10\text{mi}$

Formula used:

  $1\text{mi/hr =}1.467\text{ft/s}$

Calculation:

  $\begin{array}{l}1\text{mi/hr =}1.467\text{ft/s}\\ 10\text{mi/hr =}14.67\text{ft/s}\end{array}$

  $14.67\text{ft/s}$ is the distance running by the runner

Conclusion: