Find the lowest two frequencies that produce a maximum sound intensity at the positions of Moe and Curly.

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The two speakers emit sound that is 180° out of phase and of a single frequency,ƒ, Find the lowest two frequencies that produce a maximum sound intensity at the positions of Moe and Curly.

answer : 1316.2 hertz

Explanation:

The frequency that produce the maximum sound intensity can be calculated using the relation below

dsin ∅ = n A

where A = dsin ∅ / n  when n = 1 . d = 0.800

A = 0.800 * ( 1 / 3.162 )

A = 0.253 m

speed of sound = 333 m/s

frequency = speed / A

=   333 / 0.253 =  1316.2 hertz

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2