Question

The speed of the sound in air at room temperature is 343 m/s. Calculate this speed in miles per hour.

Answer 1

Answer: The speed of air is 771.5 miles/hr.

Explanation:

We are given:

Speed of sound = 343 m/s

To convert this speed into miles per hour, we use the conversion factor:

1 mile = 1610 m

1 hr = 3600 s

Converting the above speed into miles per hour, we get:

$\Rightarrow (\frac{343m}{s})\times (\frac{1mile}{1600m})\times (\frac{3600s}{1hr})\\\\\Rightarrow 771.75miles/hr$

Hence, the speed of air is 771.5 miles/hr.

Answer 2

Convert metres to feet:

343m*3.28f = 1,125.04ft/s

There are 3600 (60 seconds * 60 minutes) seconds in an hour. Therefore, use this number to convert to an hour.

1,125.04ft*3600s = 4,050,144 ft/h

Now, since you asked for miles, convert to miles (5280 ft in a mile):

4,050,144ft/5,280m = 767.072mph

That is your answer! Hope I helped. :)