Question

A weighted string 1 meter long is shown to have a standing wave when v is...

  1. A weighted string 1 meter long is shown to have a standing wave when v is equal to 220. The frequency is 11o Hz and is the fundamental frequency. Find the next 3 Overtones and the first 3 harmonics.
Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Length of the strinng (L) = 1m

velocity (v)= 220

fundamentnal frequency (f) = 110 Hz

we, know fn= vn/2l

given fundamental frequency (f1) =110HZ

first overtone (f2)= 2V/2l= v/l = 220/1= 220Hz

second overtone (f3)= 3V/2l= 3*220/2*1= 330Hz

third overtone (f4)= 4V/2l= 2v/l= 2*220/1= 440Hz

Now, for harmonic (), we can use the relation = 2l/n (l= length of the string)

so, for first harmonic () = 2l/1= 2l= 2*1= 2m

second harmonic () = 2l/2= l =1m

third harmonic ()= 2l/3= 2*1/3= 0.6m

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

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...
part 1. A 9.00-m long string sustains a three-loop standing wave pattern as shown. The string...
part 1. A 9.00-m long string sustains a three-loop standing wave pattern as shown. The string has a mass of 45 g and under a tension of 50 N. a. What is the frequency of vibration? b. At the same frequency, you wish to see four loops, what tension you need to use. Part 2. a. Determine the shortest length of pipe, open at both ends, which will resonate at 256 Hz (so the first harmonics is 256Hz). The speed...
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...
A standing wave is set up in a L=2.00m long string fixed at both ends. The...
A standing wave is set up in a L=2.00m long string fixed at both ends. The string vibrates in its 5th harmonic when driven by a frequency f=120Hz source. The mass of the string is m=3.5grams. Recall that 1kg = 1000grams. A. Find the linear mass density of the string B. What is the wavelength of the standing wave C. What is the wave speed D. What is the tension in the string E. what is the first harmonic frequency...
A string is stretched out horizontally between two xed posts. (a) When set vibra ng at...
A string is stretched out horizontally between two xed posts. (a) When set vibra ng at a frequency of between 200 Hz and 600 Hz (3 SF, no zeroes), the string exhibits a standing wave with ve (5) loops. Make and label a sketch showing the wavelength ? of the waves and the length L of the string when vibra ng in this mode. (b) The string is between 4 and 9 meters long (3 SF, no zeroes). Calculate the...
The second harmonic standing wave on a particular string fixed at both ends is given by:...
The second harmonic standing wave on a particular string fixed at both ends is given by: y(x, t) = 0.01 sin(2π x) cos(200π t) (in SI units). a) Fill in the following information: λ2 = f2 = v = b) How long is the string, and what is its fundamental frequency? L =   f1 = c) This second harmonic wave has total energy E2. If the string is plucked so that has the first harmonic wave on it instead at...
A standing wave pattern is created on a string with mass density μ = 3 ×...
A standing wave pattern is created on a string with mass density μ = 3 × 10-4 kg/m. A wave generator with frequency f = 63 Hz is attached to one end of the string and the other end goes over a pulley and is connected to a mass (ignore the weight of the string between the pulley and mass). The distance between the generator and pulley is L = 0.68 m. Initially the 3rd harmonic wave pattern is formed....
By experimentation, a physics student determines that the frequencies of two unspecified, but consecutive standing wave...
By experimentation, a physics student determines that the frequencies of two unspecified, but consecutive standing wave patterns on a particular string that is fixed at both ends are 62.7 Hz and 70.3 Hz . What would be the next higher frequency for which the string would have a standing wave? Express the answer in Hz. (Assume that the tension in the string is the same for all three standing wave patterns.)
A student uses a 2.00-m-long steel string with a diameter of 0.90 mm for a standing...
A student uses a 2.00-m-long steel string with a diameter of 0.90 mm for a standing wave experiment. The tension on the string is tweaked so that the second harmonic of this string vibrates at 29.0 Hz . (ρsteel=7.8⋅10^3 kg/m^3) If you wanted to increase the first harmonic frequency by 60 % , what would be the tension in the string?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT