a) If the period of oscillation of a given wave is 6.5 seconds and the wave is travelling at 19 m/s, what is the wavelength of the wave? b) If this wave is the 7th harmonic of some other wave, what is the frequency of that other wave?

a) If the period of oscillation of a given wave is 6.5 seconds and the wave is travelling at 19 m/s, what is the wavelength of the wave? b) If this wave is the 7th harmonic of some other wave, what is the frequency of that other wave?

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 98P: Two sinusoidal waves, which are identical except for a phase shift, travel along in the same...

See similar textbooks

Related questions

Q: The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum…

A: The wave function of a standing wave is yx,t=2ymsinkxcosωt=2ymsin2πλxcos2πνt For this case, the wave…

Q: What is the maximum speed of a wave on a rope with a linear mass density of 2 kg/m and a tension…

Q: How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 28.6 m…

A: Wavelength of ocean waves (λ) = 28.6 m Propagation speed of ocean wave (v) = 4.88 m s-1

Q: A sinusoidal wave traveling in the positive x direction has amplitude of 10.0 cm, a wavelength of…

A: Given data: Wavelength (λ) = 10.0 cm = 0.100 m Frequency (f) = 5.00 Hz Required: Wave speed (v)

Q: A harmonic wave is travelling along a rope. The wave generator creates a total of 40.0 vibrations in…

A: Frequency : Frequency is defined as the number of times an event takes place per unit of time.…

Q: The distance between two successive minima of a transverse wave is 2.76 m. Five crests of the wave…

A: GivenWavelength λ = 2.76 mTime t = 14.0 s

Q: A steel cable with total length 59 m and mass 120 kg is connected to two poles. The tension in the…

Q: Suppose a wave whose expression is given as y(t) = Asin(2xFt), where y is the vertical displacement…

Q: What is the wavelength of a periodic wave having a frequency of 5.0 hertz and a speed of 10.0 meters…

A: Given data: Frequency (f) = 5.0 Hz Speed (v) = 10.0 m/s Required: The wavelength (λ)

Q: When the particles of a medium are vibrating perpendicular to the direction of energy transport,…

Q: guitar string has a mass of 0.14 kg and a length of 0.90 m. If this string is tightened to a…

A: Given that The mass of the string (m) = 0.14kg And the length of the…

Q: A sinusoidal wave on string is described by the wave function y=0.15sin (0.80x-500) Where x and y…

A: A transverse wave on a string is expressed by the equation- y=Asin(kx-ωt)where,A is amplitudek is…

Q: A wave traveling on a Slinky® that is stretched to a total length of 2.5 m takes 3.1 s to travel the…

Q: . In a medium where the speed is constant, wave A has twice the frequency than another wave B. The…

Q: A fisherman noticed that his boat was lifted by the water waves once every 2 s. He looked at the…

Q: The ratio of the wavenumber to the angular frequency: will yield the ratio of the wave frequency to…

A: Wave number = It is the inverse of wavelength n= 1/wavelength .... (1) Angular frequency (w) = 2πv…

Q: The least distance between two points on a progressive wave having a phase difference of a radians…

A: First we can calculate wavelength. Phase difference △ϕ = π rad Smallest distance △ x = 6.0 cm (△ϕ)…

Q: A wire is stretched between two posts. Another wire is stretched between two posts that are twice as…

A: Given data :- L1 = l, m1 = m L2 = 2l, m2 = mT1 = T, T2 = TAnd v1 = 286 ms

Q: A travelling wave is represented by the function: y(x.1) = 0.009 m sin (1.2 m-lx – 5.0s-4) Find the…

A: The general formula for wave function is given as yx,t=Asinkx-ωt+ϕ , where A is the amplitude ,…

Q: When the particles of a medium are vibrating at right angles to the direction of energy transport,…

A: In longitudinal waves, particles of the medium vibrate to and from in a direction parallel to the…

Q: Write the equation for a wave moving along +x with an amplitude 0.4?, speed 6.0?/? and frequency…

Q: A wave has the following properties: amplitude = 0.371 m, period = 0.770 s, wave speed traveling in…

Q: The source of all waves is a periodic motion or vibration. Which of the following wave properties is…

A: There are certain type of properties which tells about the waves. The frequency speed wavelength and…

Q: A wave has an amplitude of 0.0800 m and is moving 7.33 m/s. One oscillator in the wave takes 0.115 s…

A: Given, the time taken by one oscillator in the wave to go from the lowest point to the highest point…

Q: A string of length 0.4 m is fixed at both ends. The string is plucked and a standing wave is set up…

A: Given, L= 0.4m v= 138.3 m/s n= 3 (since, third harmonic)

Q: A wave initially has an amplitude of 2m, but its amplitude soon changes to 4m. What is the new wave…

A: The initial amplitude of a wave is, A=2 m The initial energy of the wave is, U1=12kA2=12k22=2k

Q: Suppose a wave whose expression is given as y(t) = Asin (2nFt), where y is the vertical displacement…

A: The expression of the wave is given. All we have to do is to substitute the given values properly to…

Q: A periodic and repeating disturbance in a lake creates waves which emanate outward from its source…

Q: A wave described by the equation (see image), where x and y are in meters and t is in seconds, is…

A: Given:- A wave described by the equation raveling down a cable has a mass per unit length of 0.41…

Q: A sinusoidal wave is travelling along a cord. The wave makes 50.0 vibration in 40.0 s. The crest of…

Q: A wave on a string is reflected from a fixed end. The reflected wave: O is 180- out of phase with…

A: A wave on a string is reflected from a fixed end the reflected wave is 1800 , out pf phase with…

Q: A steel cable with total length 67 m and mass 150 kg is connected to two poles. The tension in the…

Q: | A wave is modeled with the function y(x,t) = (0.25m)cos(0.30m-lx-0.90s-t+r/3). Find (a) the…

Q: The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum…

A: Standing waves are formed by the superposition of two travelling waves of the same frequency (with…

Q: Two water waves in a pool have amplitudes of 0.8 m and 0.47 m. The energy carried by the wave whose…

Q: The intensity of any wave decreases as the inverse square of the distance from its source. Ture…

A: We know, Inverse-square law: the intensity of a sound wave varies in inverse proportion to the…

Q: A 1.88-m long rope has a mass of 0.139 kg. The tension is 55.4 N. An oscillator at one end sends a…

Q: A string with a linear density of 10 kg/m is stretched to a length of 1.1 meters and fastened at…

A: The tension on the string is 2000 N, the linear mass density of the string is 10 kg/m. The…

Q: A string is vibrating at its resonant frequency in 1 loop. IF the length of the string is 12 cm,…

A: Given data: Length of the string, L = 12 cmWavelength of the wave = ?

Q: The distance between two successive minima of a transverse wave is 2.40 m. Five full crest intervals…

Q: For any given wave (moving at a constant speed), if the frequency quadruples, the wavelength

A: Given data The final frequency f2=4f1 Here f1 is the initial frequency. The wavelength for the…

Q: Use the wave equation to find the speed of a wave given by y(x, t) = (2.00 mm)[(20 m-1)x - (4.0…

A: Standard equation of wave is Y(x, t) =As in(Kx-wt) ; So we get K= 20m-1 W=4s-1 As we know the…

Q: Transverse waves on a string have a velocity of 15 m/s, amplitude of 0.10m and a wavelength of 25…

A: solution as

Q: A transverse, periodic wave travels horizontally down a slinky at a speed of 5.28 m/s. If the…

Q: is a point along a standing wave where the wave has minimum amplitude. A O a. Crest O b. Node Anti…

A: A ______ is a point along a standing wave where the wave has minimum amplitude .

Q: Use the wave equation to find the speed of a wave given byy(x, t) = (3.00 mm) sin[(4.00 m-1)x -…

A: Standard equation of wave is Y(x, t) =YmSin(Kx-wt) Ym is maximum amplitude Kx is angular wave no.…

Q: ( Choose ] This is the sixth harmonic This is the fundamental mode of this vibrating object The…

A: Number of nodes in a standing wave is equal to n+1, n is the harmonic number.

Concept explainers

Shock Waves

Shock waves are common in continuum mechanics, and their dominance is attributable to the fact that they are stronger (or even less) compressible. Substantial perturbations propagated as sudden dynamic changes of a compressible medium supersonically. Shock waves are all around us in our daily lives. Lightning, earthquakes, volcanic eruptions, and meteorite impact all produce them in nature. Even the earth, which is protected by its magnetic field, generates a shock wave as in solar wind that travels around 20 Earth radiuses. These shock waves might be either constant, linked to the body, or unsteady, i.e., moving around with time. All of the shocks mentioned above can be damaging, so precautions must be taken to reduce their impact.

Question

a) If the period of oscillation of a given wave is 6.5 seconds and the wave is travelling at 19 m/s, what is
the wavelength of the wave?
b) If this wave is the 7th harmonic of some other wave, what is the frequency of that other wave?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 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

How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 40.0 m and a propagation speed of 5.00 m/s?
Two sinusoidal waves, which are identical except for a phase shift, travel along in the same direction. The wave equation of the resultant wave is yR(x,t)=0.70msin(3.00m1x6.28s1t+/16rad) . What are the angular frequency, wave number, amplitude, and phase shift of the individual waves? .
Give one example of a transverse wave and one example of a longitudinal wave, being careful to note the relative directions of the disturbance and wave propagation in each.
To increase the intensity of a wave by a factor of 50, by what factor should the amplitude be increased?
A string with a mass of 0.30 kg has a length of 4.00 m. If the tension in the string is 50.00 N, and a sinusoidal wave with an amplitude of 2.00 cm is induced on the string, what must the frequency be for an average power of 100.00 W?
If the tension in a string were increased by a factor of four, by what factor would the wave speed of a wave on the string increase?
The speed of a transverse wave on a string is 300.00 m/s, its wavelength is 0.50 m, and the amplitude is 20.00 cm. How much time is required for a particle on the string to move through a distance of 5.00 km?
Two sinusoidal waves, which are identical except for a phase shift, travel along in the same direction. The wave equation of the resultant wave is yR(x,t)=0.35cmsin(6.28m1x1.57s1t+4) . What are the period, wavelength, amplitude, and phase shift of the individual waves?
A bat sends of a sound wave 100 kHz and the sound waves travel through air at a speed of v=343 m/s. (a) If the maximum pressure difference is 1.30 Pa, what is a wave function that would model the sound wave, assuming the wave is sinusoidal? (Assume the phase shift is zero.) (b) What are the period and wavelength of the sound wave?
A harmonic transverse wave function is given by y(x, t) = (0.850 m) sin (15.3x + 10.4t) where all values are in the appropriate SI units. a. What are the propagation speed and direction of the waves travel? b. What are the waves period and wavelength? c. What is the amplitude? d. If the amplitude is doubled, what happens to the speed of the wave?
Does the vertical speed of a segment of a horizontal taut string through which a sinusoidal, transverse wave is propagating depend on the wave speed of the transverse wave?
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 6.00 cm, a wavelength of 4.3 m, and a period of 6.00 s, but one has a phase shift of an angle =0.50 rad. What is the height of the resultant wave at a time t=3.15 s and a position x=0.45 m ?