- #1
Firben
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Speed of sound
The speed of sound c in a gas depends on among other things on the pressure on the gas, the density and probably, possibly on their viscosity. Determine c-
My Variable list:
Pressure p ML^-1T^-2
Density ρ ML^-3
Speed v LT^-1
My matrix:
| | M | L | T |
| p | 1 | -1 | -2 |
| ρ | 1 | -3 | 0 |
| v | 0 | 1 | -1 |
after a couple of row reductions i got it to be:
k = P/(ρv^2) (pi=k)(k = constant)
The answer should be v = k(P/ρ)^(1/2)
I'm doing it right?
The speed of sound c in a gas depends on among other things on the pressure on the gas, the density and probably, possibly on their viscosity. Determine c-
My Variable list:
Pressure p ML^-1T^-2
Density ρ ML^-3
Speed v LT^-1
My matrix:
| | M | L | T |
| p | 1 | -1 | -2 |
| ρ | 1 | -3 | 0 |
| v | 0 | 1 | -1 |
after a couple of row reductions i got it to be:
k = P/(ρv^2) (pi=k)(k = constant)
The answer should be v = k(P/ρ)^(1/2)
I'm doing it right?