Question

A sound wave has a frequency of 192 Hz and travels the length of a football field, 91.4 m, in 0.27 s. What is the speed of the wave?

• A. $338.5m/s$
• B. $348.5m/s$
• C. $358.5m/s$
• D. $368.5m/s$

Answer 1

The correct option is A $338.5m/s$

The speed of the sound, distance traveled and the time taken relationship is given as follows.
$Speedofsound=\frac{Distancetraveled\left(m\right)}{Timetaken\left(s\right)}$.
In the question it is given that distance traveled is 91.4 m (length of the football field) and the time taken is 0.27 seconds.
The speed of the sound wave is calculated as follows.
$v=\frac{s}{t}=\frac{91.4m}{0.27s}=338.5m/s$
Hence, the speed of the sound wave is 338.5 m/s.