Question

You are designing a new drum and you want to know the resonant frequencies of the drum head. The dimensions are 12 cm x 20 cm. The drum head is made of Mylar which has a speed of sound of 2540 m/s. What is the (1,1) and the (2,3) standing wave frequencies?

Answer 1

Solution:

The resonance frequency of a drum of dimensions is given by

Where, (m,n) are modes and v is the velocity of the wave.

Given that:

So, the frequency of standing wave for (1,1) mode is given by

Similarly, the frequency of standing wave for (2,3) mode is given by