Question

relationship equation of loudness and amplitude

Answer 1

loudness is proportional to the square of amplitude.

When a body vibrates with greater amplitude, it sends forth a greater amount of energy and hence the energy received by the eardrum is also large. Thus the sound appears louder.
 

Answer 2

Hey there!

Relation between Loudness and Amplitude:

Loudness is directly proportional to square of the amplitude.

i.e Loudness ∝ (Amplitude)²

Example:

When a body vibrates with a greater amplitude, it sends forth a greater amount of energy and hence the energy received by the eardrum is large, so the sound appears louder.

Hope It Helps You!