when the temperature 59 degrees Fahrenheit, the speed of sound at sea level is 1225 kilometers per hour, which process could be used to convert this speed into feet per second?

1 answer

To convert the speed of sound from kilometers per hour (km/h) to feet per second (ft/s), you can follow these steps:

  1. Convert kilometers to miles: There are 0.621371 miles in a kilometer.
  2. Convert miles to feet: There are 5280 feet in a mile.
  3. Convert hours to seconds: There are 3600 seconds in an hour.

The conversion factors can be combined into a single conversion factor from km/h to ft/s:

\[ \text{1 km/h} = \frac{0.621371 \text{ miles}}{1 \text{ km}} \times \frac{5280 \text{ feet}}{1 \text{ mile}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} \]

Calculating this gives:

\[ 1 \text{ km/h} \approx 0.621371 \times 5280 / 3600 \approx 0.911344 \text{ ft/s} \]

Now, to convert 1225 km/h to ft/s:

\[ 1225 \text{ km/h} \times 0.911344 \text{ ft/s per km/h} \approx 1115.75 \text{ ft/s} \]

Thus, the speed of sound at sea level at 59 degrees Fahrenheit, when converted from kilometers per hour to feet per second, is approximately 1115.75 ft/s.