22) A platinum wire that is 1.20 m long has a radius of 0.500 mm and is fixed at both ends. In its third harmonic it vibrates at 512 Hz. The density of platinum is 21.4 x 103 kg/m3, What is the tension in the wire? A) 4.00 kN B) 2.00 kN C) 2.82 kN

22) A platinum wire that is 1.20 m long has a radius of 0.500 mm and is fixed at both ends. In its third harmonic it vibrates at 512 Hz. The density of platinum is 21.4 x 103 kg/m3, What is the tension in the wire? A) 4.00 kN B) 2.00 kN C) 2.82 kN

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter14: Sound

Section: Chapter Questions

Problem 46P: A distance of 5.00 cm is measured between two adjacent nodes of a standing wave on a 20.0-cm-long...

See similar textbooks

Related questions

Q: (3) The lowest note on a piano (the first harmonic vibration) is the "A" note, which has a frequency…

Q: A tuning fork is set into vibration above a vertical open tube filled with water (Fig. 12–40). The…

Q: Changing which of the following does not affect the frequency of a vibrating string? A. tension B.…

A: The velocity (v) of a travelling wave in a string is determined by the tension (T) produced in the…

Q: A Doppler ultrasound device can be used to monitor a fetal heartbeat, by tracking the motion of the…

A: Given data: The amplitude of wave is A=1.89 mm. The frequency is f=130 beats per minute.

Q: 1. Suppose a string tuned to F vibrates with an amplitude of 0.5 mm. Write an equation of the form y…

A: Frequency of a vibrating string =F The amplitude of a vibrating string =0.5 mm

Q: 2. When the first valve is pushed, the frequency of the sixth harmonic changes to fo = 622 Hz (an…

A: Ques:

Q: Workers attach a 25.0- kg mass to one end of a 20.0- m long cable and secure the other end to the…

A: Part a:

Q: Question 10 4 pts A spring has mass 2.5 kg and tension force acting on it is 200 N. Length of…

A: mass, m = 2.5 kg Tension, T = 200 N length, L = 20 m

Q: A 5 m long stretched rope is fixed at both ends. What are the wavelengths of the first 3 harmonics?…

Q: A sailor strikes the side of his ship just below the surface of the sea. He hears the echo of the…

A: # for the speed of the sound wave in water V=Bρ where B-bulk modulus of water…

Q: One end of a 2.00-kg rope is tied to a support at the top of a mine shaft 80.0 m deep. The rope is…

A: (a) the tension in the rope is same as the weight of the box. that is, T=mg the speed of transverse…

Q: 22.2. A 3-m length of copper rod has a density of 8800 kg/m', and Young's modulus for copper is 1.17…

A: It is known that the velocity is calculated as, v=young modulusdensity and the time taken is…

Q: A cord 13.70m long has a mass of 2.680 grams. (a) What is its linear mass density in kg/m? (b) For…

A: a)Write the equation for linear mass density of the cord.

Q: 1. Mr. Knote, a piano tuner, taps his 440 Hz tuning fork with a mallet. What is the period of the…

A: Frequency of vibration of the tuning fork is given to be f=440 Hz. We need to find the time period…

Q: Question 28 Harmonic waves travel along a rope at 30.0 m/s. An observer sees ten crests go past in a…

Q: 3. A wave traveling in the positive x-direction has a frequency of 25.0 Hz, as in Figure P13.37.…

A: Given data *The given frequency is f = 25.0 Hz *The length is l = 10.0 cm *The distance is A0 = 18…

Q: (II) In Problem 55 (Fig. attached), the length of the string maybe adjusted by moving the pulley. If…

Q: 10. Review. The elastic limit of a steel wire is 2.70 X 108 Pa. What is the maximum speed at which…

A: Given: elastic limit of steel = pressure, P = 2.70*108 Pa density of steel, ρ = 7.86*103 kg/m3 To…

Q: Q15.12 A long rope with mass m is suspended from the ceiling and hangs vertically. A wave pulse is…

A: The motion of all points on a wave oscillating along pathways at right angles to the wave's progress…

Q: 1. ultrasound is used in clinical applications to probe soft tissues inside the body. To detect…

A: We are allowed to give the explanation of first question only which is given below. Please repost…

Q: 4. A sound wave's amplitude can be modeled by the function y = -7 sin ((z - 1) +4). Within the…

A: We know, the general solution of the trigonometric equation sin x = sin θ, is x = nπ + (-1)nθ, where…

Q: Problem 16.63 A sinusoidal wave travels along a stretched string. A particle on the string has a…

Q: 8- A rope under tension (20 lb) and the density of the longitudinal rope is (0.003 lb/ft), the…

A: Given, A rope is under tension, m = 20 lb density of the rope, μ = 0.003 lbft

Q: Two identical piano wires have a fundamental frequency of 555 Hz when kept under the same tension.…

Q: 75 A certain loudspeaker system emits sound isotropically with a frequency of 2000 Hz and an…

Q: guitar string has a length of 642.0 mm and a mass of 3.70 g. The rope presents fundamental mode of…

Q: QUESTION 17 A string with a mass of 5.47 g and a length of 2.84 m has one end attached to a wall;…

Q: 5. A pipe with one end open and one end closed produces a fifth harmonic frequency of 1760 Hz at 20…

A: Answer is Option (c) The expression for find length of the pipe is f5=5v2LL=5v2f

Q: 60. What is the length of an open end air column that would resonate in the first harmonic at 262 Hz…

Q: A cord of mass 0.75 kg is stretched between two supports 6.3 m apart. Part A If the tension in the…

Q: (II) An ocean fishing boat is drifting just above a school of tuna on a foggy day. Without warning,…

Q: 4. A string is fixed at both ends and is vibrating at 142 Hz, which is its third harmonic frequency.…

A: Given data: Third harmonic frequency (f3) = 142 Hz Linear density of string (μ) = 5.35×10-3 kg/m…

Q: 21) If you move twice as far away from a lawn mower running in an open field, the amplitude of the…

A: The maximum distance travelled by a point on a vibrating object or wave from its mean position is…

Q: ULTRASOUND M Theory Any sound with a frequency above 20,000 Hz (or 20 kHz) - that is, above the…

A: The given values are,

Q: 5. A sound wave's amplitude can be modeled by the function y = -7 sin ( (x – 1) + 4). Within the…

A: Given: Amplitude function: y=-7 sin π6x-1+4 In interval: 0<x<12

Q: Required information A piano "string" is steel wire with radius 0.500 mm and length 1.20 m. It is…

A: Speed of transverse wave is 362 m/s.

Q: 1. Standing waves are produced from two waves of equal amplitude and frequency travelling in…

A: Given : Choices: 1-fundamental frequency : The lowest…

Q: 28. The frequency of vibrations of a vibrating violin string is given by 1 f%3= 2L where L is the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 14 6. The following snap shot is taken of a wave 12 10 moving to the left at 1.20 cm/s at time of t=…

A: As we know, The wave equation, y=A sinωt-kx+ϕ Here, A is the amplitude, ω is the angular frequency,…

Q: 77. ssm From a vantage point very close to the track at a stock car race, you hear the sound emitted…

A: The formula of the Doppler's effect is f' =vv + vsf

Q: A 144 cm long rope undergoes exactly 64 complete vibrational cycles in 17.6 seconds when vibrating…

Q: 39) Which of the following would cause a rise in the pitch of a note? 1) Motion of sound source…

A: In the given question We have to discuss about pitch. Then We have to choose the correct option in…

Question

100%

Can you help explain this problem to me?

Also, can you draw a free body diagram?

I will rate thnx!

22)
A platinum wire that is 1.20 m long has a radius of 0.500 mm and is fixed at both ends.
In its third harmonic it vibrates at 512 Hz. The density of platinum is 21.4 x 103 kg/m3, What is
the tension in the wire?
A) 4.00 kN
B) 2.00 kN
C) 2.82 kN

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An aluminum rod is clamped one-fourth of the way along its length and set into longitudinal vibration by a variable-frequency driving source. The lowest frequency that produces resonance is 4 400 Hz. The speed of sound in an aluminum rod is 5 100 m/s. Determine the length of the rod.
A quartz watch contains a crystal oscillator in the form of a block of quartz that vibrates by contracting and expanding. An electric circuit feeds in energy to maintain the oscillation and also counts the voltage pulses to keep time. Two opposite faces of the block, 7.05 mm apart, are antinodes, moving alternately toward each other and away from each other. The plane halfway between these two faces is a node of the vibration. The speed of sound in quartz is equal to 3.70 103 m/s. Find the frequency of the vibration.
A cars 30.0-kg front tire is suspended by a spring with spring constant k = 1.00 105 N/m. At what speed is the car moving if washboard bumps on the road every 0.750 m drive the tire into a resonant oscillation?
The A string on a cello vibrates in its first normal mode with a frequency of 220 Hz. The vibrating segment is 70.0 cm long and has a mass of 1.20 g. (a) Find the tension in the string, (b) Determine the frequency of vibration when the string vibrates in three segments.
A distance of 5.00 cm is measured between two adjacent nodes of a standing wave on a 20.0-cm-long string. (a) In which harmonic number n is the string vibrating? (b) Find the frequency of this harmonic if the string has a mass of 1.75 102 kg and a tension of 875 N.
A taut tope has a mass of 0.180 kg and a length of. 3.60 m. What power must be .supplied to the rope so as generate sinusoidal waxes having an amplitude of 0.100 in and a wavelength of 0.500 m and traveling with a speed of 30.0 m/s?
Review. A steel guitar string with a diameter of 1.00 mm is stretched between supports 80.0 cm apart. The temperature is 0.0C. (a) Find the mass per unit length of this siring. (Use the value 7.86 103 kg/m4 for the density.) (b) The fundamental frequency of transverse oscillations of the string is 200 Hz. What is the tension in the string? Next, the temperature is raised to 30.0C. Find the resulting values of (c) the tension and (d) the fundamental frequency. Assume both the Youngs modulus of 20.0 1010 N/m2 and the average coefficient of expansion = 11.0 10-6 (C)-1 have constant values between 0.0C and 30.0C.
A stretched string fixed at each end has a mass of 40.0 g and a length of 8.00 m. The tension in the string is 49.0 N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (b) What is the vibration frequency for this harmonic?
Explain why you expect an object made of a stiff material to vibrate at a higher frequency than a similar object made of a spongy material.
Can you perceive the shift in frequency produced when you pull a tuning fork toward you at 10.0 m/s on a day when the speed of sound is 344 m/s? To answer this question, calculate the factor by which the frequency shifts and see if it is greater than 0.300%.
Ultrasound reflected from an oncoming bloodstream mat is moving at 30.0 cm/s is mixed with the original frequency of 2.50 MHZ to produce beats. What is the beat frequency? (Assume than the frequency of 2.50 MHz is accurate to seven significant figures.)
When all the strings on a guitar (Fig. OQ16.5) are stretched to the same tension, will the speed of a wave along the most massive bass string be (a) faster, (b) slower, or (c) the same as the speed of a wave on the lighter strings? Alternatively, (d) is the speed on the bass string not necessarily any of these answers?