Final answer:
To convert 1,088 feet per second to miles per hour, divide by 5,280 to get miles per second and then multiply by 3,600 to get mph, resulting in approximately 742 mph when rounded to the nearest whole number.
Step-by-step explanation:
The speed of sound is 1,088 feet per second. To convert this speed into miles per hour, we can use the conversion factors that 1 mile is equivalent to 5,280 feet, and there are 3,600 seconds in one hour:
- First, divide 1,088 by 5,280 to convert feet per second to miles per second.
- Then, multiply the result by 3,600 to convert from seconds to hours.
The calculation is as follows:
(1,088 feet/second) / (5,280 feet/mile) = 0.2061 miles/second
Now, convert to miles per hour
(0.2061 miles/second) * (3,600 seconds/hour) ≈ 741.96 miles/hour
Rounded to the nearest whole number, the speed of sound in miles per hour is approximately 742 mph.