Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 19, Problem 78PQ
To determine
The change in the fundamental frequency of the pipe after it warms.
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A wire is made out of a special steel alloy with Y=2.00×1011Pa, density ρ=7800kg/m3, radius 1.00mm and coefficient of linear thermal expansion α=2.50×10-5 K-1. The initial temperature of the wire is 20∘C20∘C. As a constant tension of 3.53×104N is applied to the wire, the wire is measured to be exactly 60.0cm60.0cm long.
(a) What is the fundamental frequency of the wire? Assume the speed of sound is 344m/s.
(b) Where should you pluck the wire to achieve the third harmonic (second overtone) without also exciting the fundamental mode? What is its frequency?
(c) If the wire is heated to the melting point of steel (13630C), by how much does the fundamental frequency change?
The coldest and hottest temperatures ever recorded in Bangladesh are 37.0°F (276 K) and 113.2°F (318 K), respectively. What is the speed of sound in air (in m/s) at each temperature?
speed of sound at 37.0°F____________ m/s
speed of sound at 113.2°F____________ m/s
On a warm summer day (29 ∘C∘C), it takes 4.70 ss for an echo to return from a cliff across a lake. On a winter day, it takes 5.10 ss . The speed of sound in air is v≈(331+0.60T)m/sv≈(331+0.60T)m/s, where TT is the temperature in ∘C∘C.
What is the temperature on the winter day?
Chapter 19 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 19.1 - The Fahrenheit scale remains useful in part due to...Ch. 19.2 - Prob. 19.2CECh. 19.3 - Prob. 19.3CECh. 19.3 - Prob. 19.4CECh. 19.4 - Prob. 19.5CECh. 19.5 - Prob. 19.6CECh. 19.6 - Prob. 19.7CECh. 19 - Prob. 1PQCh. 19 - Prob. 2PQCh. 19 - Prob. 3PQ
Ch. 19 - Prob. 4PQCh. 19 - Prob. 5PQCh. 19 - Prob. 6PQCh. 19 - Prob. 7PQCh. 19 - Prob. 8PQCh. 19 - Object A is placed in thermal contact with a very...Ch. 19 - Prob. 10PQCh. 19 - Prob. 11PQCh. 19 - Prob. 12PQCh. 19 - Prob. 13PQCh. 19 - The tallest building in Chicago is the Willis...Ch. 19 - Prob. 15PQCh. 19 - Prob. 16PQCh. 19 - At 22.0C, the radius of a solid aluminum sphere is...Ch. 19 - Prob. 18PQCh. 19 - Prob. 19PQCh. 19 - Prob. 20PQCh. 19 - The distance between telephone poles is 30.50 m in...Ch. 19 - Prob. 22PQCh. 19 - Prob. 23PQCh. 19 - Prob. 24PQCh. 19 - Prob. 25PQCh. 19 - Prob. 26PQCh. 19 - Prob. 27PQCh. 19 - Prob. 28PQCh. 19 - Prob. 29PQCh. 19 - Prob. 30PQCh. 19 - Prob. 31PQCh. 19 - Prob. 32PQCh. 19 - Prob. 33PQCh. 19 - Prob. 34PQCh. 19 - Prob. 35PQCh. 19 - Prob. 36PQCh. 19 - Prob. 37PQCh. 19 - Prob. 38PQCh. 19 - Prob. 39PQCh. 19 - On a hot summer day, the density of air at...Ch. 19 - Prob. 41PQCh. 19 - Prob. 42PQCh. 19 - Prob. 43PQCh. 19 - Prob. 44PQCh. 19 - Prob. 45PQCh. 19 - Prob. 46PQCh. 19 - Prob. 47PQCh. 19 - A triple-point cell such as the one shown in...Ch. 19 - An ideal gas is trapped inside a tube of uniform...Ch. 19 - Prob. 50PQCh. 19 - Prob. 51PQCh. 19 - Case Study When a constant-volume thermometer is...Ch. 19 - An air bubble starts rising from the bottom of a...Ch. 19 - Prob. 54PQCh. 19 - Prob. 55PQCh. 19 - Prob. 56PQCh. 19 - Prob. 57PQCh. 19 - Prob. 58PQCh. 19 - Prob. 59PQCh. 19 - Prob. 60PQCh. 19 - Prob. 61PQCh. 19 - Prob. 62PQCh. 19 - Prob. 63PQCh. 19 - Prob. 64PQCh. 19 - Prob. 65PQCh. 19 - Prob. 66PQCh. 19 - Prob. 67PQCh. 19 - Prob. 68PQCh. 19 - Prob. 69PQCh. 19 - Prob. 70PQCh. 19 - Prob. 71PQCh. 19 - A steel plate has a circular hole drilled in its...Ch. 19 - Prob. 73PQCh. 19 - A gas is in a container of volume V0 at pressure...Ch. 19 - Prob. 75PQCh. 19 - Prob. 76PQCh. 19 - Prob. 77PQCh. 19 - Prob. 78PQCh. 19 - Prob. 79PQCh. 19 - Prob. 80PQCh. 19 - Two glass bulbs of volumes 500 cm3 and 200 cm3 are...
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