Your experiments on a particular insulator indicate that at 20°C, the average speed of sound in the insulator is vi = 8500 m/s and its bulk modulus is Bi = 370 GPa. Experimental results from your colleague show that a certain metal alloy has a density of ρm = 6500 kg/m3 and a bulk modulus of Bm = 110 GPa. a. Calculate the density of the insulator ρi in kilograms per cubic meter.  b.  Calculate the speed of sound vm in the metal alloy in meters per second.  c. If the sound traveled as indicated in the structure in figure 1, emerging from the insulator at time ti and the alloy at time tm, determine Δt = tm - ti in seconds. The length of the structure is L = 1.0 m.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
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Your experiments on a particular insulator indicate that at 20°C, the average speed of sound in the insulator is vi = 8500 m/s and its bulk modulus is Bi = 370 GPa. Experimental results from your colleague show that a certain metal alloy has a density of ρm = 6500 kg/m3 and a bulk modulus of Bm = 110 GPa.

a. Calculate the density of the insulator ρi in kilograms per cubic meter. 

b.  Calculate the speed of sound vm in the metal alloy in meters per second. 

c. If the sound traveled as indicated in the structure in figure 1, emerging from the insulator at time ti and the alloy at time tm, determine Δt = tm - ti in seconds. The length of the structure is L = 1.0 m. 
 

d.  Find the total amount of time t, in seconds, it takes to travel through the structure as indicated in figure 2. The length of the structure is L = 1.0 m. 

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