For a wave traveling in a string, by what factor would the tension need to be...

Question

Question

For a wave traveling in a string, by what factor would the tension need to be increased to quadruple the wave speed?

science physics

Answer 1

Answer #1

wave speed = v = √T/μ

v ∝ √T

v² ∝T

now you want

v' = 4v

so

4v = √T'

T' = 16v² =16*T

so so you need to increse the new tension by 16 times of the older one

Answer 2

Similar Homework Help Questions

plz explain! :) A string under tension carries a transverse wave traveling at a speed v....

plz explain! :) A string under tension carries a transverse wave traveling at a speed v. If the tension in the string is doubled, what will be the speed of a transverse wave traveling down the string? O/2v Ov/v2 Ου O 2v Ο υ/2
Question 10 1 pts A string under tension carries a transverse wave traveling at a speed...

Question 10 1 pts A string under tension carries a transverse wave traveling at a speed v. If the tension in the string is doubled, what will be the speed of a transverse wave traveling down the string? O V2v Ov12 U 20 1/2
By what factor would you have to increase the tension in a taut string to double...

By what factor would you have to increase the tension in a taut string to double the wave speed?

The displacement of a transverse traveling wave on a string under tension is described by: D(x,...

The displacement of a transverse traveling wave on a string under tension is described by: D(x, t) = (2.0 cm) .sin((12.57 rad/m)x + (638 rad/s)t + /2] The linear density of the string is 5.00 g/m. 1. What is the tension in the string? 2. What is the maximal speed of a point on the string? String 2 3. The original string (String 1) is tied to a second string with String 1 a linear density of 12 g/m, as...
The displacement of a transverse traveling wave on a string under tension is described by: D(x,...

The displacement of a transverse traveling wave on a string under tension is described by: D(x, t) = (2.0 cm) sin((12.57 rad/m)x+ (638 rad/s)t + T/2] The linear density of the string is 5.00 g/m. 1. What is the tension in the string? 2. What is the maximal speed of a point on the string? String 2 3. The original string (String 1) is tied to a second string with String 1 a linear density of 12 g/m, as shown...
A transverse wave is traveling along a string of total mass M, length L, and tension...

A transverse wave is traveling along a string of total mass M, length L, and tension T. Which of the following is correct? a. The wavelength of the wave is proportional to L. b. The wave velocity depends on M,L,and T. c. The frequency of the wave is proportional to the wavelength. d. The speed of motion of a point on the string is the same as the velocity of propagation of the wave.

A wave is traveling down the length of a string at some speed, v. If we...

A wave is traveling down the length of a string at some speed, v. If we wanted to double the speed of the wave, which of the following would be a possible way to do so? (Select all that apply.) Increase the mass of the string by two times. Reduce the mass of the string by half. Double the tension in the string. Reduce the mass of the string by one-fourth. Reduce the linear density of the string by one-fourth.
The equation of a transverse wave traveling in a string is given by y = A...

The equation of a transverse wave traveling in a string is given by y = A sin(kx-at). The tension in the string is 18.0 N, A What is the wave speed? 1 mm, k = 26 rad/m, ω 745 rad/s Submit Answer Tries 0/99 What is the linear density of the string. Submit Answer Tries 0/99
the wave function for a traveling wave on a taut string is (in si units) y(x,t)...

the wave function for a traveling wave on a taut string is (in si units) y(x,t) = 0.360 sin (15pi -2pix + pi/4) Assignment #20 - PHYS 2213, Fal x + → C webassion.net/web/Student/Assignment-Responses/submit?dep=22560947&ta Jx 082 If you know the number of waves that come past every second (the frequency) and the length Need Help? 2. 2/6 points Previous Answers SerPSE 10 16.2.OP.007.MI. The wave function for a traveling wave on a taut string is (in SI units) x(xt) -...

Question 5 1 pts A string under tension carries transverse waves traveling at speed v. If...

Question 5 1 pts A string under tension carries transverse waves traveling at speed v. If the same string is under 4 times the tension, what is the wave speed? v/2 4v V 2v v/4