EBK PHYSICS FOR SCIENTISTS AND ENGINEER
6th Edition
ISBN: 9781319321710
Author: Mosca
Publisher: VST
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Chapter 15, Problem 35P
To determine
To Derive:A convenient formula for the speed of the sound in air at
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Calculate the speed of sound v in air using the formula v = √γRT/M, where γ = 1.4, R=8.315 J/mol·K , M = 28.8x10-3Kg/mol and T is the room temperature in Kelvin. (T=25.5 Celsius)
Speed of sound (vo) in dry air at 0°C is 331 m/s. Therefore, at room temperature (23°C) the
speed (vT) will be
O [331 x 296) /273)] m/s
O [(331 x 23) /273] m/s
O [331/(296/273)] m/s
V[331 (23/273)] m/s
You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 3.6 seconds faster than you do through the air. The speed of sound in steel is vs = 6100 m/s while in air the speed of sound is va = 343 m/s.
(a) Write an equation for the time it takes the sound to reach you through the air if the distance to the train is represented by D.
(b) Write an equation for the time it takes the sound to reach you through the steel if the distance to the train is represented by D. (c) Use the difference in these two times to write an equation for the distance to the train. (d) For the given information find the distance to the train in meters.
Chapter 15 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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