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? A) 17 ms B) 15 ms C) 14 ms D) 13 ms E) 12 ms

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Quizplus · Accepted Answer

The speed of the wave is given by v = sqrt(B/rho), where B is the bulk modulus and rho is the density. Plugging in the given values, we get v = sqrt(1.3 × 10^9 Pa / 890 kg/m^3) = 1200 m/s. The time it takes for the wave to travel the length of the pipe is then t = d/v = 20.0 m / 1200 m/s = 0.0167 s = 16.7 ms.

A Pipe That Is 20