Question

You are part of a quality control team for a factory that manufactures high-quality string for...

You are part of a quality control team for a factory that manufactures high-quality string for special purposes. To make sure the strings are all made to the

same high standard, you have decided to make a test facility that measures the harmonic frequencies (the frequencies that create standing waves) of

the strings as a function of their tension. You decide that the best way do this is to set up a pattern of standing waves at known tensions.

Questions: Determine a mathematical expression for the wave speed for standing waves on the string as a function of quantities you can measure in the lab.

Draw a graph of the wave speed (vertical axis) as a function of the frequency of the standing wave(horizontal axis).

Draw a graph of the wave speed (vertical axis) as a function of the tension in the spring (horizontal axis).

Draw a graph of the frequency of a particular standing wave harmonic (the fundamental, for example) as a function of thetension in the string (horizontal axis).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Standing waves on a 1.5-meter long string that is fixed at both ends are seen at...
Standing waves on a 1.5-meter long string that is fixed at both ends are seen at successive (that is, modes m and m + 1) frequencies of 38 Hz and 42 Hz respectively. The tension in the string is 720 N. What is the fundamental frequency of the standing wave? Hint: recall that every harmonic frequency of a standing wave is a multiple of the fundamental frequency. What is the speed of the wave in the string? What is the...
a) A 1 meter long guitar string of linear mass density 2g/m3 is put under tension...
a) A 1 meter long guitar string of linear mass density 2g/m3 is put under tension until it resonates with a fundamental frequency of 440 Hz. Determine the tension that produces this fundamental frequency. Also determine the other of the first four harmonic frequencies and draw diagrams illustrating what each of these oscillations looks like on the string. b) This string will produce sound waves in the air, determine the wavelength of the sound waves. c) Suppose you had two...
please provide the explanation towards the final answer. You were doing an experiment on standing waves...
please provide the explanation towards the final answer. You were doing an experiment on standing waves on a string of length 1 m, that is fixed at both ends. You measured the frequencies of two successive standing waves at 36 Hz and 48 Hz, respectively. i. Can you find the speed of the waves & the fundamental frequency? ii. If the string oscillates at the highest frequency plot the pattern of the standing waves.
To apply Problem-Solving Strategy 12.1 Standing waves and normal modes. A cellist tunes the C string...
To apply Problem-Solving Strategy 12.1 Standing waves and normal modes. A cellist tunes the C string of her instrument to a fundamental frequency of 65.4 Hz H z . The vibrating portion of the string is 0.600 m m long and has a mass of 14.4 g g . With what tension must she stretch that portion of the string? What percentage increase in tension is needed to increase the frequency from 65.4 Hz H z to 73.4 Hz H...
Two violin strings each have a length of 0.32 m and are each under a tension...
Two violin strings each have a length of 0.32 m and are each under a tension of 51 N. The lighter string has a mass density of 6.43x10-4 kg/m, whereas the heavier string has a mass density of 2.48x10-3 kg/m. (Note, for stringed instruments, both ends of the string are fixed.) (a) What are the fundamental frequencies of the (i) lighter and (ii) heavier violin strings? (b) These strings are plucked simultaneously in such a way that the fundamental of...
A composite string is made up of a short length of heavy string (µ1) and a...
A composite string is made up of a short length of heavy string (µ1) and a very very long length of much lighter string (µ2 µ1). The light end of the string is attached to a pole very far away. The string is held under tension by passing the heavy end over a pulley and attaching it to a bag full of sand. The heavy segment of the string has length L (between the pulley and the knot between the...
A guitar string is clamped at the nut and the bridge. When you pluck the string,...
A guitar string is clamped at the nut and the bridge. When you pluck the string, you set up a standing wave on it. The “scale” of the guitar is the distance from nut to bridge, typically 64 cm.(a) [4 pts.] The low A string on a guitar is supposed to produce a note with a frequency of 110 Hz. What is the speed of sound on this string?(b) [3 pts.] If the pitch is too high, you can lower...
A guitar string is clamped at the nut and the bridge. When you pluck the string,...
A guitar string is clamped at the nut and the bridge. When you pluck the string, you set up a standing wave on it. The “scale” of the guitar is the distance from nut to bridge, typically 64 cm.(a) [4 pts.] The low A string on a guitar is supposed to produce a note with a frequency of 110 Hz. What is the speed of sound on this string?(b) [3 pts.] If the pitch is too high, you can lower...
1. In an experiment to study standing waves, you use a string whose mass per length...
1. In an experiment to study standing waves, you use a string whose mass per length is µ = (1.8 ± 0.1) × 10−3kg/m. You look at the fundamental mode, whose frequency f is related to the length L and tension T of the string by the following equation L = 1 2f s T µ . You make a plot with L on the y-axis and √ T on the x-axis, and find that the best fitting line is...
A guitar string of length 72.8 cm (which might be out of tune) has been plucked...
A guitar string of length 72.8 cm (which might be out of tune) has been plucked and is producing a note of frequency 334 Hz. (a) What is the speed of transverse traveling waves on this guitar string? Give your answer in m/s. HINT: The note you hear is produced by the vibrational mode of the string which has the fundamental (lowest possible) frequency. Draw a picture of the string vibrating in that mode and determine the wavelength of the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT