Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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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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The accepted value for the speed of sound in dry air is 331.50 m/s at 0 °C. This speed increases by 0.607 m/s for each additional °C. Compute the accepted value for the speed of sound in air at a room temperature of 27 °C, also known as 300 K because T = 273.15 + t ( Here t is in degree Celsius).
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)
You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 2.7 seconds before you do through the air. The speed of sound in steel is vs = 6100 m/s, and and the air temperature is 36° C.
Find the distance, D, to the train in meters.
Chapter 15 Solutions
Physics for Scientists and Engineers
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- Use the following information for determining sound intensity. The number of decibels ß of a sound with an intensity of I watts per square meter is given by B = 10 log(I/Io), where I, is an intensity of 10-12 watt per square meter, corresponding roughly to the faintest sound that can be heard by the human ear. Find the number of decibels ß of the sound. (a) I = 10-10 m2 (quiet room) watt per B = 20 dB %3D (b) I = 10-5 watt per m2 (busy street corner) = 70 dB (c) I = 10-8 watt per m² (quiet radio) B = 40 dB %D (d) I = 100 watt per m2 (threshold of pain) B = dB Need Help? Read Itarrow_forwardSpeed 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/sarrow_forwardYou 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.arrow_forward
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