Answered: Consecutive standing waves occur at…

Consecutive standing waves occur at frequencies 280 Hz and 315 Hz on a taut string fixed at both ends. Determine the frequency of the 5th harmonic. 140 Hz 100 Hz O 175 Hz O 105 Hz O 75 Hz

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 113P: A string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The...

See similar textbooks

Related questions

Q: Two consecutive frequencies of standing waves on a string fixed at both ends are 280 Hz and 315 Hz.…

A: Given data The frequency of the standing wave on one end is fn = 280 Hz. The frequency of the…

Q: Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string that has a linear mass…

A: In this question, To calculate wave's frequency , we will use the following steps 1. Find the wave's…

Q: A string fixed at both ends has a length of 1 m. With a frequency of 44 kHz (fourth overtone),…

Q: Suppose a string has a fundamental frequency of 150 Hz. The following frequencies are possible…

Q: A tube open at both ends is 86 cm long. What are its first three harmonic frequencies? The speed of…

A: Given data: Tube open at both ends Tube length (L) = 86 cm = 0.86 m Speed (v) = 344 m/s Required:…

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.1tx) sin(200tt) %3D where x and y are in cm…

A: The expression for the general form of the standing wave is given as y=2acoskxsinωt On comparing…

Q: A string resonates in three segments to a frequency of 185 Hz. What frequency must be used if it is…

A: Here first we have to find the relationship between frequency.

Q: A standing wave on a string is described by the wave function y(x,t) = (5 mm) sin(4Ttx)cos(30Tt).…

A: given standing wave equation = y = (5mm) sin(4π x) cos (30π t)

Q: A three-loop standing wave is generated in a string by attaching one end to a wall and letting the…

A: Given: The wavelength of the wave is 15 cm. Introduction: The distance between a node and an…

Q: A string of 1.2 m length and 300 g mass, is stretched by a tension of 9 N. A wave of amplitude 15 cm…

A: Given:- The length of the string is L = 1.2 m The mass of the string is m = 300 g = 0.3 kg The…

Q: A standing wave has the following wave-function: y(x,t) = 0.2 sin(3tx) cos(12nt), where x and y are…

A: Length, L=2 m

Q: Standing waves are formed on a 360-cm-long string that is fixed at both ends. If the frequency of…

Q: A cord of length 1.5 m has two equal-length sections with linear densities of 0.56 kg/m and 1.04…

A: Note:- Since you have asked multiple question, we will solve the first question for you. If you want…

Q: The middle-C hammer of a piano hits two strings, producing beats of 1.55 Hz. One of the strings is…

A: Number of beats = difference of frequency

Q: If a 20-m string has a mass per length of 5.30 x 10^(-2) kg/m, and is stretched to a tension of 30.0…

Q: A standing wave with wavelength A = 1.2 m and frequency f - 50 on a stretched cord. For an element…

A: Given : f=50 Hz x=0.5 m v=2π m/s

Q: Two identical sinusoidal waves with wavelengths of 1.5 m travel in the same direction at a speed of…

A: Wavelength of each wave λ=1.5 m Speed of each wave v=25 m/s Amplitude of the resultant wave R=3A

Q: A string of 1.8 m length and 50 g mass, is stretched by a tension of 9 N. A wave of amplitude 15 cm…

A: Given , Length of string(L) = 1.8 m Mass of string(m)= 50g= 0.050 kg Tension in string (F) = 9N…

Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02…

A: Both the superposing waves are opposing each other Hence, the resultant wave due to the…

Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1= 0.02…

A: For the three loops the length is given by L = 1.5 λ where, λ is the wavelength.

Q: If a 20-m string has a mass per length of 5.30 x 10(-2) kg/m, and is stretched to a tension of 30.0…

Q: A string carries a sinusoidal wave with an amplitude of 42.0 cm and a frequency of 4100 Hz. What is…

A: It is given that A=42 cm=0.42 mf=4100 Hz

Q: A standing wave has the following wave- function: y(x,t) = 0.2 sin(Ttx) cos(12Tt), where x and y are…

A: Given data: Wave equation: yx,t=0.2 sinπxcos12πt Length of the string, L=2 m

Q: A standing wave on string of length L = 3 m is described by the following equation y(x,t) =…

Q: A traveling wave along the x-axis is given by the following wave function ψ(x, t) = 3.5 cos(1.5x -…

A: The expression for the wave function of the wave is, ψ(x, t)=3.5 cos(1.5x- 8.6t+0.46)…

Q: Consecutive standing waves occur at frequencies 280 Hz and 315 Hz on a taut string fixed at both…

Q: If a standing wave on a string is produced by the superposition of th following two waves: y1= A…

A: From the principle of superposition we can write the total displacement of the string is…

Q: Consider a wave described by the wave function 7 T y (x,t)= 0.85m sin (- x + 4 t + ), find the time…

Q: A standing wave has the following wave-function: y(x,t) = 0.2 sin(Ttx) cos(12rtt), where x and y are…

A: Given: Wave function, yx,t=0.2sinπxcos12πt ..eq1 String length, L=2 m

Q: simple harmonic oscillator at the point x = 0 generates a wave on a rope, requency 40.0 Hz and…

A: Given L = 1 m T = 50 N Mass per unit length = 5 g/m = 0.005 kg/m

Q: Consecutive standing waves occur at frequencies 375 Hz and 500 Hz on a taut string of length L=75 cm…

Q: Consider the standing wave pattern shown in the figure. If the maximum transverse speed at an…

A: maximum transverse speed = 0.4 π m/s Amplitude = 4 mm

Q: Determine the maximum velocity of the resultant of the two waves described by the equations (5.0…

A: Let yR be the resultant equation.Write the given equations in the sine form.

Q: Q4. Consecutive standing waves occur at frequencies 280 Hz and 315 Hz on a taut string fixed at both…

Q: The speed of a wave on a string with a fixed end and a free end is 345 m/s. The requency of the wave…

A: Hhbbbbzbbzbz

Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3) (SI units). If the string's linear mass density is µ = 0.005 kg/m, then the transmitted power is:…

Q: A free open ended instrument has an air column length of 108 cm. What is the wavelength of the 3rd…

Q: Consecutive standing waves occur at frequencies 280 Hz and 315 Hz on a taut string fixed at both…

Q: A stretched string is 1.97 m long and has a mass of 20.5 g. When the string oscillates at 440 Hz,…

A: The wavelength of a wave is defined as the distance between two consecutive crests or two…

Q: A string of linear mass density 4.9 x 10-3 kg/m is stretched by a 441 N tension force, and fixed at…

A: Given data *The given linear mass density of the string is μ=4.9×10-3 kg/m *The given tension force…

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.2Ttx) sin(200Tt) where x and %3D y are in cm…

A: The standard equation is y (x, t) = 2 r sin kx cos w t

Q: A standing wave has the following wave- function: y(x,t) = 0.2 sin(3ttx) cos(12Ttt), where x and y…

A: given , standing wave , y(x,t) = 0.2 sin(3πx) cos(12πt) .............(1) length of the string , L =…

Q: A string of infinite length is stretched from-o to +0 and subjected to the following initial…

A: The velocity is defined as distance travelled with respect to time. velocity…

Q: A sinusoidal wave on a string is described by the following equation where k = 3.10 rad/cm and ω =…

A: Introduction: There are two different types of the wave, namely transverse and longitudinal wave.…

Q: Transverse waves on a string have wave speed of 8.00 m/s, amplitude of 0.0700 m, and wavelength of…

A: Given data: Wave speed v =8.00 m/s Amplitude A=0.0700m Wavelength, λ =0.320m

Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

Consecutive standing waves occur at frequencies 280 Hz and 315 Hz on a taut
string fixed at both ends. Determine the frequency of the 5th harmonic.
140 Hz
100 Hz
O 175 Hz
O 105 Hz
O 75 Hz

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?
A cable with a linear density of =0.2 kg/m is hung from telephone poles. The tension in the cable is 500.00 N. The distance between poles is 20 meters. The wind blows across the line, causing the cable resonate. A standing waves pattern is produced that has 4.5 wavelengths between the two poles. The air temperature is T=20C . What are the frequency and wavelength of the hum?
The area of a typical eardrum is about 5.00 X 10-5 m2. (a) (Calculate the average sound power incident on an eardrum at the threshold of pain, which corresponds to an intensity of 1.00 W/m2. (b) How much energy is transferred to the eardrum exposed to this sound lor 1.00 mill?
A pipe is observed to have a fundamental frequency of 345 Hz. Assume the pipe is filled with air (v = 343 m/s). What is the length of the pipe if the pipe is a. closed at one end and b. open at both ends?
To measure her speed, a skydiver carries a buzzer emitting a steady tone at 1 800 Hz. A friend on the ground at the landing site directly below listens to the amplified sound he receives. Assume the air is calm and the speed of sound is independent of altitude. While the skydiver is falling at terminal speed, her friend on the ground receives waves of frequency 2 150 Hz. (a) What is the skydivers speed of descent? (b) What If? Suppose the skydiver can hear the sound of the buzzer reflected from the ground. What frequency does she receive?
A string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The string is under a tension of 200.00 N. The string is driven by a variable frequency source to produce standing waves on the string. Find the wavelengths and frequency of the first four modes of standing waves.
Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)
Consider the following figure. The length of the string between the string vibrator and the pulley is L=1.00 m. The linear density of the string is =0.006 kg/m. The string vibrator can oscillate at any frequency. The hanging mass is 2.00 kg. (a)What are the wavelength and frequency of n=6 mode? (b) The string oscillates the air around the string. What is the wavelength of the sound if the speed of the sound is vs=343.00 m/s?
Rank the waves represented by the following functions from the largest to the smallest according to (i) their amplitudes, (ii) their wavelengths, (iii) their frequencies, (iv) their periods, and (v) their speeds. If the values of a quantity are equal for two waves, show them as having equal rank. For all functions, x and y are in meters and t is in seconds. (a) y = 4 sin (3x 15t) (b) y = 6 cos (3x + 15t 2) (c) y = 8 sin (2x + 15t) (d) y = 8 cos (4x + 20t) (e) y = 7 sin (6x + 24t)
A siren mounted 011 the roof of a firehouse emits sound at a frequency of 900 Hz. A steady wind is blowing with a speed of 15.0 m/s. Taking the speed of sound in calm air to be 343 m/s. find the wavelength of the sound (a) upwind of the siren and (b) downwind of the siren. Firefighters are approaching the siren from various directions at 15.0 m/s. What frequency does a firefighter hear (c) if she is approaching from an upwind position so that site is moving in the direction in which the wind is blowing and (d) if she is approaching from a downwind position and moving against the wind?
A copper wire has a radius of 200 µ m and a length of 5.0 m. The wire is placed under a tension of 3000 N and the wire stretches by a small amount. The wire is plucked and a pulse travels down the wire. What is the propagation speed of the pulse? (Assume the temperature does not change: (=8.96gcm3,Y=1.11011Nm) .)
A string with a linear mass density of =0.0062 kg/m is stretched between two posts 1.30 m apart. The tension in the string is 150.00 N. The string oscillates and produces a sound wave. A 1024-Hz tuning fork is struck and the beat frequency between the two sources is 52.83 Hz. What are the possible frequency and wavelength of the wave on the string?