The ruler sends out a pulse of ultrasonic sound and measures the time it takes f

Question

The ruler sends out a pulse of ultrasonic sound and measures the time it takes for the pulse to reflect from the object and return. The ruler uses this time, along with a preset value for the speed of sound in air, to determine the distance. Suppose that you use this ruler under water, rather than in air. The actual distance from the ultrasonic ruler to an object is 21.0 m. The adiabatic bulk modulus and density of seawater are Bad = 2.37 × 109 Pa and = 1025 kg/m3, respectively. Assume that the ruler uses a preset value of 343 m/s for the speed of sound in air. Determine the distance reading that the ruler displays. xruler =

Explanation / Answer

Vsound = S = Bad/density

= S = 2.37 × 10^9pa/1025kg/m^3

= 1520.6 m/s

the round trip time to the object is then:

t = x/v

= 42.0m/1520.6m/s

= 0.02762s

the distance displayed will then be

Xdisp = = (343m/s)(0.01381s)

= 4.74m

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