Question

The speed of sound in air at 0°c is 332m/s. If it increases at the rate of 0.6m/s per degree, what will be the temperature when the velocity has increased to 344m/s?

Answer 1

Temperature is a condition that affects the speed of sound.

Heat, like sound, is a form of kinetic energy.

Molecules at higher temperatures have more energy, thus they can vibrate faster. Since the molecules vibrate faster, sound waves can travel more quickly. The speed of sound in room temperature air is 346 meters per second. This is faster than 331 meters per second, which is the speed of sound in air at freezing temperatures.

The formula to find the speed of sound in air is as follows:

v = v(at 0 degree) + 0.6m/s/C * T

v is the speed of sound and T is the temperature of the air.

so a change of 20 degrees will lead to addition of 0.6 x 20 m/s

so v(at 20 degree) = 344 m/s