Question

A guitar string with a linear density of 2.0 g/m is stretched between supports that are...

A guitar string with a linear density of 2.0 g/m is stretched between supports that are 60 cm apart. The string is observed to form a standing wave with three antinodes when driven at a frequency of 420 Hz. What are (a) the frequency of the fifth harmonic of this string and (b) the tension in the string?

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

a)

fn=nth harmonic frequency=nf1   (1)

f1= fundamental frequency

3 antinode means 3rd harmonic f3=420Hz (given) and f5=?

from eqaution (1)

f5=700Hz

b)

using (1) f1=fn/n=f3/3=140Hz

v=velocilty of wave=2Lf1=2x60cmx140Hz=168m/s

L= length of string

T=tension on string

=linear mass density of the string

So Tension on the string T=56.448N

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
A nylon guitar string has a linear density of 9.3 g/m and is under a tension...
A nylon guitar string has a linear density of 9.3 g/m and is under a tension of 151 N. The fixed supports are distance D = 98 cm apart. The string is oscillating in the standing wave pattern shown in the following figure. Calculate the frequency of the traveling waves for this standing wave.
1.A string with linear density 2.0 g/m is under 500 N of tension. What is the...
1.A string with linear density 2.0 g/m is under 500 N of tension. What is the speed of waves on the string? Group of answer choices 500 m/s 300 m/s 200 m/s 400 m/s 2.A harmonic wave has angular frequency 250 rad/s and travels at 500 m/s. What is the wave number of the wave? Group of answer choices 0.50 rad/m 0.60 rad/m 0.70 rad/m 0.80 rad/m 3.When a tuning fork with frequency 256 Hz and a guitar string are...
A guitar string has a linear mass density of 0.004 kg/m, a tension of 100 N,...
A guitar string has a linear mass density of 0.004 kg/m, a tension of 100 N, and is supposed to have a fundamental frequency of 110 Hz. When a tuning fork of that frequency is sounded while the string is plucked, a beat frequency of 4 Hz is heard. The peg holding the string is loosened, decreasing the tension, and the beat frequency increases. Before it was loosened and while it still had a tension of 100 N, The frequency...
1. A cord of mass 0.65 kg is stretched between two supports 8.0 m apart. If...
1. A cord of mass 0.65 kg is stretched between two supports 8.0 m apart. If the tension in the cord is 140 N, how long will it take a pulse to travel from one support to the other? 2. A 50.0 Kg ball hangs from a steel wire 1.00 mm in diameter and 6.00 m long. What would be the speed of a wave in the steel wire? 3. The intensity of an earthquake wave passing through the earth...
Two identical guitar strings are stretched with the same tension between supports that are not the...
Two identical guitar strings are stretched with the same tension between supports that are not the same distance apart. The fundamental frequency of the higher-pitched string is 360Hz, and the speed of transverse waves in both wires is 150 m/s. How much longer is the lower-pitched string if the beat frequency is 4Hz?
Two identical guitar strings are stretched with the same tension between supports that are not the...
Two identical guitar strings are stretched with the same tension between supports that are not the same distance apart. The fundamental frequency of the higher-pitched string is 460Hz, and the speed of transverse waves in both wires is 150 m/s. How much longer is the lower-pitched string if the beat frequency is 6Hz?
A thin taut string of mass 5.00 g is fixed at both ends and stretched such...
A thin taut string of mass 5.00 g is fixed at both ends and stretched such that it has two adjacent harmonics of 525 Hz and 630 Hz. The speed of a traveling wave on the string is 168 m/s. (a) Determine which harmonic corresponds to the 630 Hz frequency. (b) Find the linear mass density of this string. (c) Find the tension in the string.
A guitar string has a linear mass density of 0.005 kg/m, a tension of 100 N,...
A guitar string has a linear mass density of 0.005 kg/m, a tension of 100 N, and is supposed to have a fundamental frequency of 110 Hz. When a tuning fork of that frequency is sounded while the string is plucked, a beat frequency of 2 Hz is heard. The peg holding the string is tightened, increasing the tension, and the beat frequency increases. Before it was tightened and while it still had a tension of 100 N, The frequency...
A stretched string fixed at each end has a mass of 46.0 g and a length...
A stretched string fixed at each end has a mass of 46.0 g and a length of 9.00 m. The tension in the string is 52.0 N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (Enter your answers from smallest to largest distance from one end of the string.) nodes: m m m m antinodes: m m m (b) What is the vibration frequency for this harmonic? Hz
A stretched string fixed at each end has a mass of 39.0 g and a length...
A stretched string fixed at each end has a mass of 39.0 g and a length of 7.20 m. The tension in the string is 44.0 N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (Enter your answers from smallest to largest distance from one end of the string.) nodes: m m m m antinodes: m m m (b) What is the vibration frequency for this harmonic? Hz
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT