We appreciate your visit to The G string on a violin has a fundamental frequency of 196 Hz It is 30 0 cm long and has a mass of 0. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The effective length of the G string is 9.8 cm.
Explanation:
To find the effective length of the string when the beat frequency is 2.00 Hz, we need to use the formula for the beat frequency: |f1 - f2|. First, we convert the beat frequency to the difference in frequencies, so we get |196 Hz - f2| = 2.00 Hz. Solving for f2, we find f2 = 196 Hz - 2.00 Hz = 194 Hz. Now we can use the formula for the fundamental frequency of a stretched string: f = (1/2L) * sqrt(T/μ), where L is the length of the string and μ is the linear mass density. Rearranging the formula to solve for L, we get L = (1/2) * (T/μ) * (1/f)^2. Plugging in the values, we have L = (1/2) * (0.500 g / (30.0 cm * 0.01 m/cm)) * (1/194 Hz)^2 = 0.098 m = 9.8 cm. Therefore, the effective length of the string is 9.8 cm.
Learn more about effective length here:
https://brainly.com/question/31697972
#SPJ11
Thanks for taking the time to read The G string on a violin has a fundamental frequency of 196 Hz It is 30 0 cm long and has a mass of 0. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
Final Answer:
The effective length of the G string on the nearby violin is 26.6 cm when a beat frequency of 2.00 Hz is heard between the two strings.
Explanation:
The beat frequency can be calculated using the equation f_beat = |f_1 - f_2|. The fundamental frequency of the G string on both violins is 196 Hz, so when a beat frequency of 2.00 Hz is heard, the frequency of the string on the nearby violin must be 198 Hz.
To find the effective length of the string on the nearby violin, we can use the formula f = (1/2L)*sqrt(T/μ), where L is the length of the string, T is the tension, and μ is the mass per unit length. We can rearrange this formula to solve for L, giving us L = (1/2)*(T/μ)*(1/f)^2.
Plugging in the values given, we find that the effective length of the string on the nearby violin is 26.6 cm. This is because shortening the string by sliding the finger down effectively increases the tension in the string, which causes the frequency to increase.
Learn more about beat frequency:
brainly.com/question/31577798
#SPJ11
