Question

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?

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.