Question

Two strings are adjusted to vibrate at exactly $200 \mathrm{Hz}$. Then the tension in one string is increased slightly. Afterward, three beats per second are heard when the strings vibrate at the same time. What is the new frequency of the string that was tightened?

Name: Problem 29, Chapter 21: Physics for Scientist and Engineers: A Strategic Approach
Uploaded: 2020-06-18T21:16:18-08:00
Duration: 1 min 20 s
Channel: Donald Albin
Description: Two strings are adjusted to vibrate at exactly 200 Hz. Then the tension in one string is increased slightly. Afterward, three beats per second are heard when the strings vibrate at the same time. What is the new frequency of the string that was tightened?

   Two strings are adjusted to vibrate at exactly $200 \mathrm{Hz}$. Then the tension in one string is increased slightly. Afterward, three beats per second are heard when the strings vibrate at the same time. What is the new frequency of the string that was tightened?

Physics for Scientist and Engineers: A Strategic Approach

Randall Knight 2nd Edition

Chapter 21, Problem 29

Instant Answer

Solved by Expert Donald Albin

06/18/2020

Step 1

After the tension in one string is increased slightly, three beats per second are heard when the strings vibrate at the same time. The beat frequency is the absolute difference between the two frequencies. Therefore, the new frequency of the string that was Show more…

Show all steps

Thanks for your feedback!

Two strings are adjusted to vibrate at exactly $200 \mathrm{Hz}$. Then the tension in one string is increased slightly. Afterward, three beats per second are heard when the strings vibrate at the same time. What is the new frequency of the string that was tightened?

Play audio

Feedback

Donald Albin and 73 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Frequency of a Vibrating String

The frequency at which a string vibrates is determined by factors including its tension, length, and mass per unit length. Adjusting the tension of the string alters its vibrational frequency, a principle that is essential in the design and tuning of stringed instruments, as well as in various areas of wave mechanics.

Beat Frequency

Beat frequency is a phenomenon that occurs when two sound waves of slightly different frequencies interfere with each other, yielding a pulsating effect at a rate equal to the absolute difference between the frequencies. This concept is fundamental in acoustics and instrument tuning, as it provides a sensitive method for detecting small discrepancies in pitch.

Please give Ace some feedback