Question

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

Answer 1

To calculate the speed of sound in miles per hour, use the conversion factor 1 mile = 1609.34 meters and 1 hour = 3600 seconds. The speed of sound in air at room temperature, 343 m/s, is approximately 767 miles per hour.

Step-by-step explanation:

To calculate the speed of sound in miles per hour, we need to convert the speed from meters per second to miles per hour. There are 1609.34 meters in a mile and 3600 seconds in an hour. Therefore, to convert the speed from meters per second to miles per hour, we can use the following conversion factor: 1 mile = 1609.34 meters and 1 hour = 3600 seconds.

Speed in miles per hour = (Speed in meters per second)*(3600 seconds/hour)*(1 mile/1609.34 meters).

So, the speed of sound in air at room temperature, which is 343 m/s, is approximately 767 miles per hour.

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. :)