Question

In what way does loudness of sound depend on amplitude? If the amplitude is increased by 3 times, by how much does the loudness increase ?

Answer 1

amplitude is directly proportional to each other so loudness will be also three times

Answer 2

Answer:

Loudness is defined as 9 times the logarithm of intensity of the sound wave, with respect to a base sound level. Loudness is measured in decibels.

Intensity is proportional to square of the amplitude of the sound wave.

 

This shows that loudness of the sound produced by a vibrating object depends on the amplitude of vibration. Loudness is proportional to the square of the amplitude

So loudness will increase by 9 * Log three decibels.