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A piano string having mass per unit length equal to 5.00*10^-3 kg/m is under a tension of 1350 N. Find the speed with which a wave travels on this string?
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Most Upvoted Answer
A piano string having mass per unit length equal to 5.00*10^-3 kg/m is...
V =√ (T/m),.

= sqrt( 1350*1000/5)
= sqrt( 270000)
= 519.6 m/s,
Community Answer
A piano string having mass per unit length equal to 5.00*10^-3 kg/m is...
Given:
- Mass per unit length of the piano string (μ) = 5.00*10^-3 kg/m
- Tension in the piano string (T) = 1350 N

To find:
The speed with which a wave travels on this string.

Formula:
The speed (v) of a wave on a string is given by the formula:
v = √(T / μ)

Solution:
Substituting the given values in the formula, we can find the speed of the wave.

1. Calculate the speed (v) using the formula:
v = √(T / μ)

2. Substitute the given values:
v = √(1350 N / 5.00*10^-3 kg/m)

3. Simplify the expression:
v = √(1350 N * (1 kg/m) / (5.00*10^-3 kg/m))

4. Divide the numerator by the denominator:
v = √(1350 N * (1 kg/m) / (5.00*10^-3 kg/m))
v = √(1350 N * 200 m)
v = √(270000 N m)
v = √(270000 N m)
v = √(270000 N m)
v = 519.62 m/s

Answer:
The speed with which a wave travels on this piano string is 519.62 m/s.
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Attempt All sub parts from each question.Tuning a piano wire: When we hear two frequencies which are very close to each other but not exactly equal then distinct waxing and waning of the intensity of the sound is heard. These are known as beats. The beat frequency is equal to the absolute value of the difference in frequency of the two waves. To tune a piano, a musician takes help of beat frequency. He plucks the string and tap a tuning fork at the same time. If the two sound sources— the piano string and the tuning fork, do not produce identical frequency then the musician hears detectable beats. Musician will then adjust the tension of the piano string and repeat the process until the beats are no longer be heard. Tension of the wire changes the frequency of the wire.As the piano string becomes more in tune with the tuning fork, the beat frequency reduces and approaches 0 Hz. When beats are no longer heard, the piano string is tuned to the tuning fork; i.e. they play the same frequency. The process allows the musician to match the strings' frequencies to the frequencies of a standardized set of tuning forks.Q. As tension of a wire of fixed length increases, the frequency emitted by it

Attempt All sub parts from each question.Tuning a piano wire: When we hear two frequencies which are very close to each other but not exactly equal then distinct waxing and waning of the intensity of the sound is heard. These are known as beats. The beat frequency is equal to the absolute value of the difference in frequency of the two waves. To tune a piano, a musician takes help of beat frequency. He plucks the string and tap a tuning fork at the same time. If the two sound sources— the piano string and the tuning fork, do not produce identical frequency then the musician hears detectable beats. Musician will then adjust the tension of the piano string and repeat the process until the beats are no longer be heard. Tension of the wire changes the frequency of the wire.As the piano string becomes more in tune with the tuning fork, the beat frequency reduces and approaches 0 Hz. When beats are no longer heard, the piano string is tuned to the tuning fork; i.e. they play the same frequency. The process allows the musician to match the strings' frequencies to the frequencies of a standardized set of tuning forks.Q. A musician while tuning a piano with a standard tuning fork of frequency 256 Hz, initially heard beats of 5 Hz. He then increased the tension and found that the beat frequency has reduced to 2Hz. What he should do to achieve tuning?

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A piano string having mass per unit length equal to 5.00*10^-3 kg/m is under a tension of 1350 N. Find the speed with which a wave travels on this string?
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A piano string having mass per unit length equal to 5.00*10^-3 kg/m is under a tension of 1350 N. Find the speed with which a wave travels on this string? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A piano string having mass per unit length equal to 5.00*10^-3 kg/m is under a tension of 1350 N. Find the speed with which a wave travels on this string? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A piano string having mass per unit length equal to 5.00*10^-3 kg/m is under a tension of 1350 N. Find the speed with which a wave travels on this string?.
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