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# A piano tuner stretches a steel piano wire with a tension ISBN: 9780321675460 31

## Solution for problem 42E Chapter 15

University Physics | 13th Edition

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Problem 42E

A piano tuner stretches a steel piano wire with a tension of 800 N. The steel wire is 0.400 m long and has a mass of 3.00 g. (a) What is the frequency of its fundamental mode of vibration? (b) What is the number of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 10,000 Hz?

Step-by-Step Solution:

Solution to 42E Step 1 of 3 Introduction -3 A 0.4m steel piano wire of mass 0.3x10 kg is stretched using a tension of 800N. We need to find the fundamental frequency and teh number of highest harmonics that could be heard by a person who is capable of hearing upto 10000 Hz. Given, Length of the wire=0.4m -3 Mass of the wire=0.3x10 kg Tension in the string T=F=800N Step 2 of 3 (a) =m/L -3 =0.3x10 kg /0.4 -4 =7.5X10 kg/m c = F c = 7.5×104 c=327m/s We know that =2L=0.8m Therefore, Fundamental frequency=c/ f=327/0.8 f=409Hz

Step 3 of 3

##### ISBN: 9780321675460

Since the solution to 42E from 15 chapter was answered, more than 341 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: Wire, steel, piano, long, Fundamental. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “A piano tuner stretches a steel piano wire with a tension of 800 N. The steel wire is 0.400 m long and has a mass of 3.00 g. (a) What is the frequency of its fundamental mode of vibration? (b) What is the number of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 10,000 Hz?” is broken down into a number of easy to follow steps, and 65 words. The full step-by-step solution to problem: 42E from chapter: 15 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13.

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A piano tuner stretches a steel piano wire with a tension

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