Question

The speed of sound is the distance a sound wave travels per unit time in an elastic medium. In air, the speed of sound is 767.8 miles/hour. Calculate the speed of sound in m/s.

a) 1235 m/s
b) 321.8 m/s
c) 347.6 m/s
d) 343.2 m/s

Answer 1

The speed of sound in air, given as 767.8 miles/hour, when converted to meters per second, is approximately 343.2 m/s. This is achieved through conversion factors, resulting in option (d) being the correct answer.

Step-by-step explanation:

The speed of sound in air can be calculated using the formula:

Speed of Sound = Distance / Time

Given that the speed of sound in air is 767.8 miles/hour, we need to convert it to meters per second (m/s).

1 mile = 1609.34 meters and 1 hour = 3600 seconds

So, the speed of sound in m/s = (767.8 miles/hour) * (1609.34 meters/1 mile) / (3600 seconds/1 hour) = 343.2 m/s

Therefore, the correct answer is option d) 343.2 m/s.