How Can I Compute the Different Amplitudes of a Simple Sound Source in Air?

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A user seeks assistance in calculating various acoustic parameters for a sound source radiating 10 mW at 400 Hz, specifically at a distance of 0.5 m. They have successfully calculated the intensity but are uncertain about deriving pressure amplitude, particle speed amplitude, particle displacement amplitude, and condensation amplitude. The user indicates they have made progress in understanding how to compute pressure amplitude but lack the specific value needed. Ultimately, the user reports finding the answer independently. The discussion highlights the complexities of acoustic calculations in physics.
NonameNoface
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Hi ,

Here's a problem I need some help with ,

A simple source of sound in air radiates an acoustic power of 10 mW at 400 hz . At 0.5 m from the source , compute

1. intensity
2. the pressure amplitude
3. the particle speed amplitude
4. The particle displacement amplitude
5. condensation amplitude

I have found the intensity , but i am not sure as how to go further to compute 2,3,4 and 5 . To add , I also know how to go about computing pressure amplitude , just that I do not know how to compute the value of the pressure amplitude with the given info . Any help would be appreciated ..

NonameNoface
 
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Thanks

i think I have found the answer to the question myself .. thanks anyway ..

NonameNoface
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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