Question

(29) A runner is running 10 miles per hour.

a. What conversion factors should be used to convert 10 mi/hr to ft/s?
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Answer 1

The conversions factors needed are 1 mile= 5280 feet and 1 hour = 3600 seconds, speed in ft/s = 14.67 ft/s

Solution:

Given, A runner is running 10 miles per hour.

We have to find what conversion factors should be used to convert 10 mi/hr to ft/s?

Now, speed of runner = 10 miles per hour.

But we need the units to be in ft / s.

Then, conversion factors are miles to feet and hours to seconds.

Now, miles to feet ⇒ 1 mile = 5280 feet.

Now, hours to seconds ⇒ 1 hour = 3600 seconds

`\begin{array}{l}{\text { So,speed }=10 \frac{\text { miles }}{\text { hour }}} \\\\ {\text { speed }=10 * \frac{1 \text { miles }}{1 \text { hour }}} \\\\ {\text { Speed }=10 * \frac{5280 \text { feet }}{3600 \text { seconds }}} \\\\ {\text { Speed }=(52800)/(3600)=14.67 \mathrm{ft} / \mathrm{s}}\end{array}`

Hence, the conversions needed are 1 mile = 5280 feet and 1 hour = 3600 seconds, speed in ft/s = 14.67 ft/s