Question

This is a long question. You must upload your FULL written answer. Also type in the...

This is a long question. You must upload your FULL written answer. Also type in the answer of (b) in the space provided.

A sound wave travels on a steel wire that has a length of 0.98 m, mass per unit length of  0.0034 kg/m and is under a tension of 86 N. The wire has a cross-sectional area 0.021 m3 and a density of 7,629 kg/m3. The Young's modulus of the wire is given as 300,308,879 Pa.

Given: speed of sound in air is 345 m/s.

a) Calculate the fundamental and second frequencies of the stretched wire.

b) Calculate the wavelength for fundamental frequency calculated in a).

c) Calculate the fundamental frequency if the wire is stretched to the elastic limit which is equal to Young’s modulus.

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
QUESTION 11 This is a long question. You must upload your FULL written answer. Also type...
QUESTION 11 This is a long question. You must upload your FULL written answer. Also type in the answer of (a) in the space provided. The floodlight in a park weighs 20 kg and is supported by a cable and horizontal beam as shown in the figure below. Assume that the beam is massless. The angle between the beam and cable is 24 degrees. a) Calculate the tension in the cable. b) Calculate the magnitude and direction of the horizontal...
You have a 5 kg planter full of geraniums on your front porch, hanging from a...
You have a 5 kg planter full of geraniums on your front porch, hanging from a wire made of lead (diameter 2.2 mm). You want to set up a second identical planter and have it hang at precisely the same level, but the only wire available is made of nickel. If the original length of each wire is the same before being stretched by the planters, what diameter nickel wire must you buy to have your planters hang evenly? Young’s...
7a. Express the fundamental frequency of a piano wire fixed at both ends in terms of...
7a. Express the fundamental frequency of a piano wire fixed at both ends in terms of its tension FT, length L, radius r, and the 3D mass density ρ of the wire material. 7b. Given: radius r = 0.375 × 10-3 m, length L = 0.501 m, and ρsteel = 7.86 × 103 kg/m3. What is the tension required for a steel piano string tuned to middle C (f = 261.626 Hz)? 8.One of the harmonic frequencies of tube A...
A transverse wave propagates in a very long wire of mass per unit length 4*10^-3 kg/m...
A transverse wave propagates in a very long wire of mass per unit length 4*10^-3 kg/m and under tension of 360 N. An observer next to the wire notices 10 wave peaks (or crests) passing her in a time of 2 seconds moving to the left. a) If at t=0 and x=0 the displacement assumes its maximum value of 1mm, what is the explicit equation for the wave? b) Calculate the maximum longitudinal velocity for an infinitesimal segment of 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...
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...
A stone is dropped from the top of a cliff. The splash it makes when striking...
A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 3.2 s later. How high is the cliff? 2. The pressure variation is a sound wave is given by Δ P = 0.0035 sin (0.38 π x – 1350 π t) Determine a. the wavelength b. the frequency c. the speed and d. the displacement amplitude of the wave. Assume the density of the medium to be 2.2 x...