Find the speed of sound in water, which has a bulk modulus of 2.1 X 10° N/m' at a temperature of 0°C and a density of 1.00 × 10° kg/m?.

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asked Sep 4, 2024 80.0k views

1 Answer

Woodykiddy · Answer 1 · 2024-09-08T21:15:30+0000

The speed of sound in water with a bulk modulus of 2.1 x 10^9 N/m^2 and a density of 1 x 10^3 kg/m^3 is 1.45 x 10^3 m/s.

The speed of sound in water can be calculated using the formula:

v = sqrt(B/ρ)

Where v is the speed of sound, B is the bulk modulus, and ρ is the density of the medium.

Plugging in the given values:

B = 2.1 x 109 N/m2

ρ = 1 x 103 kg/m3

we can calculate:

v = sqrt((2.1 x 109 N/m2)/(1 x 103 kg/m3))

v = 1.45 x 103 m/s