A pipe that is 20.0 m long and 10.0 cm in diameter contains olive oil. the density of the olive oil is 890 kg/m3 and the bulk modulus is 1.3 * 109 pa. a 3.4-hz longitudinal wave is transmitted in the oil. how many milliseconds does it take for the wave to travel the length of the pipe in the oil?

Question

Luke Summers

Physics

16 January, 02:46

A pipe that is 20.0 m long and 10.0 cm in diameter contains olive oil. the density of the olive oil is 890 kg/m3 and the bulk modulus is 1.3 * 109 pa. a 3.4-hz longitudinal wave is transmitted in the oil. how many milliseconds does it take for the wave to travel the length of the pipe in the oil?

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Jenkins · Answer 1

Velocity of wave through the oil medium, C = Sqrt (M_b/Sigma)

Where, M_b = Bulk modulus of oil; Sigma = Density of oil

Therefore,

C Sqrt [ (1.3*10^9) / (890) ] = 1208.58 m/s

Now,

C = d/t, where d = distance = length of pipe; t = time taken.

Therefore,

t = d/C = 20/1208.58 = 0.017 seconds = 0.017*1000 = 17 milliseconds.