Question

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Use the following unit fractions to express 195 miles per hour in feet per second.
5280 ft 60 min
60 sec
1 mi
1 hr
1 min
195 mi
hr
ft
sec
1
and
(Simplify your answer.)

Answer 1

Answer:195 miles per hour is approximately 286.67 feet per second.

Step-by-step explanation: To convert miles per hour to feet per second, we need to use the unit fractions you've provided.

Given:

1 mi = 5280 ft

1 hr = 60 min

1 min = 60 sec

We need to convert 195 miles per hour to feet per second.

Start with 195 mi/hr.

Multiply by fractions equivalent to 1, in a way that cancels out the units you don't want and leaves the units you do want.

195 mi/hr * (5280 ft/1 mi) * (1 hr/60 min) * (1 min/60 sec)

The mi units cancel, the hr units cancel, and the min units cancel, leaving ft/sec.

This equals: 195 * 5280/3600 ft/sec

= 286.67 ft/sec

Answer 2

286 ft/s

Explanation:

You want to express 195 mi/h in feet per second.

Units conversion

To convert the units, multiply by the fraction that cancels the units you don't want and leaves the units you do want.

`195\,\frac{\text{mi}}{\text{h}}=\frac{195\text{ mi}}{1\text{ h}}*\frac{1\text{ h}}{60\text{ min}}*\frac{1\text{ min}}{60\text{ s}}*\frac{5280\text{ ft}}{1\text{ mi}}=\frac{195*5280\text{ ft}}{60*60\text{ s}}\\\\=\frac{1029600\text{ ft}}{3600\text{ s}}=\boxed{286\text{ ft/s}}`

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Additional comment

The exact conversion is as shown above. The conversion factor 5280/3600 reduces to 22/15 ft/s for 1 mi/h.

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