To convert the speed of sound from meters per second to miles per hour, we'll need to use conversion factors.
The speed of sound in dry air at 20 degrees Celsius (68 degrees Fahrenheit) is approximately 343 meters per second. To convert this to miles per hour, we can follow these steps:
Convert meters to kilometers: Since there are 1,000 meters in a kilometer, we divide the speed of sound in meters by 1,000: 343 meters per second / 1,000 = 0.343 kilometers per second.
Convert kilometers to miles: There are approximately 0.621371 miles in a kilometer, so we multiply the speed in kilometers by this conversion factor: 0.343 kilometers per second × 0.621371 = 0.2131 miles per second.
Convert seconds to hours: Since there are 3,600 seconds in an hour (60 seconds × 60 minutes), we multiply the speed in miles per second by 3,600: 0.2131 miles per second × 3,600 = 767.16 miles per hour.
Therefore, the speed of sound in miles per hour is approximately 767.16 mph.