The vertical position, y, of any point on a rope that supports a transverse wave travelling horizontally is given by the equation: y = 0.5 sin(4nt + 5nx) with x and y in meters and t in seconds. Find the: a. amplitude b. angular frequency c. frequency

The vertical position, y, of any point on a rope that supports a transverse wave travelling horizontally is given by the equation: y = 0.5 sin(4nt + 5nx) with x and y in meters and t in seconds. Find the: a. amplitude b. angular frequency c. frequency

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 129AP: A transverse wave on a horizontal string (=0.0060kg/m) is described with the equation...

See similar textbooks

Related questions

Q: A wave is represented by y=(3.00 m)sin (2.5t- 3.14x). Find the (a) amplitude, (b) angular velocity,…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A tension is applied to a 4-g string that is 0.39 m. The string vibrates at 552 Hz, this frequency…

Q: A swimmer resting on a raft notices 12 wave crests pass him in 18 s. The distance between one crest…

A: Given data: Number of crests passed = 12 Time interval (Δt) = 18 s Distance between two adjacent…

Q: A sinusoidal wave with an amplitude of 1.5 cm and a frequency of 100 Hz travels at 200 m/s in the…

Q: ) = Ym sin(kx ± cot + P1), where o, = 0 and you must choose the correct sign in front of w. For the…

A: Given: Amplitude, A=9.10mm Travels distance along x-axis, d=59.0 cm Height, H=8.0mm…

Q: Homework: A 1m long string is pinned at both ends. The mass of the string is 10g and the tension the…

A: Given Tension in string =T = 110N Mass of string =M = 10 g =10-2 kg Length of string =L= 1m No…

Q: Write an expression for a harmonic wave with an amplitude of 0.13 m, a wavelength of 1.8 m, and a…

A: Consider the wavelength of wave be λ, the amplitude of the wave be A, and the time period be T. The…

Q: A wave is traveling at 64 m/s on a string with a linear density of 0.062 kg/m. What is the tension…

A: Given, speed of wave (V) = 64 m/s Linear density (p) = 0.062 kg/m Let T be the tension of the…

Q: A guitar string is 0.620 m long, and ocillates at 234 Hz. What is the velocity of the waves in the…

A: Given that, L=0.620 mf=234 Hz Since we know that the length of the guitar is L=λ2λ=2L

Q: A sinusoidal transverse wave travels along a long, stretched string. The amplitude of this wave is…

A: Given : A = 0.0847 m f = 2.03 Hz λ = 1.21 m

Q: Waves moving on a lake have a speed of 2.5 m/s and a distance of 1.4 m between adjacent crests. (a)…

A: In a wave distance between two adjacent crest is called wavelength. We know that V=fλ, where V=…

Q: What is the period of a wave that repeats itself every 2 seconds (s)? Consider the formula a : f = 1…

A: Given : A wave repeats itself every 2 seconds. Required : Time period and frequency of the wave.

Q: One of the guitar wire mass is 0.5 g and length 30.0 cm is stretched with a tension of 20.0 N. A…

A: The mass per unit length is μ=ml=0.5×10-3 kg0.3 m=1.67×10-3 kg/m

Q: Two waves are described by the wave functions y1(x, t) = 5.00 sin (2.00x -10.0t)…

A: It is given that,

Q: The sinusoidal wave shown in the figure below is traveling in the positive x-direction and has a…

Q: The frequency of the highest note on the violin is 3,520 Hz. a. How many harmonics of that note can…

A: a) Harmonics notes that we can hearThe formula for nth harmonic is,

Q: A 2 m/s wave travels on a rope of mass 3 kg and length 5 m. What is the tension in the rope?

Q: :) What harmonic frequency is next highest after the harmonic frequency 2085 Hz? (d)

Q: The mathematical model for a wave on a tightly stretched wire is y(x, t) = 0.340 sin 12xt Злх + 4…

A: Given: y(x,t) = 0.340 sin (12πt -3πx + π/4)μ=86.0 g/m

Q: The sinusoidal wave shown in the figure below is traveling in the positive x-direction and has a…

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

Q: A transverse travelling wave on a taut wire has an amplitude of 0.300 mm and a freequancy of 400 Hz.…

A: Given: The amplitude of the taut wire is 0.300 mm. The frequency is 400 Hz.…

Q: The tension in a string is 2 20N and it's linear density is 0.9 kg/ m. A wave on the string travels…

A: Given Tension T=220 N Linear density u=0.9kg/m Amplitude A=4cm =0.04 m frequency f=15Hz

Q: hw1 At a specific point along a string the displacement of transverse wave can be described by the…

Q: The wave speed on a string under tension is 200 m/s. What is the speed if the tension is doubled?

Q: y(x,t) = 0.06 sin(47x)cos(10rt) Here x and y are in m. a) What is the length of the string if this…

A: Given

Q: Assume that a transverse wave is described by y = 5.0 sin(0.01xx + 5.0xt), %3D where x and y are in…

A: Given that the equation of transverse wave. Then We have to determine the value of given parts.

Q: Question 5 A travelling wave reflects from an interface. The reflected wave is described by the…

A: We know, Y=y0Sin(kx-wt) So here W=2.5π K=3.8π

Q: The sinusoidal wave shown in the figure below is traveling in the positive x-direction and has a…

Q: Waves moving on a lake have a speed of 1.6 m/s and a distance of 1.3 m between adjacent crests. (a)…

A: Given : Speed, v = 1.6 m/s Distance between adjacent crest is wavelength. So, wavelength = 1.3 m (1)…

Q: (a). What is the amplitude of thc wave? (b). What is the period of the wave? (c). What is the…

A: Given: Graph of sine wave figure 1.

Q: A swimmer resting on a raft notices 12 wave crests pass him in 18 s. The distance between one crest…

Q: L

Q: A wire is 5.00m long and is held in place at both ends. The wire is stretched to a tension of 200N .…

Q: wave is modeled by the wave function y(x,t)=(0.30m)sin[2π/4.50m(x−18.00m/st)]. What are the…

Q: 3. The vertical position, y, of any point on a rope that supports a transverse wave travelling…

A: According to guidelines we need to solve only first three sub-part kindly repost other parts in the…

Q: Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m.…

A: The wave equation for a wave travelling on a string is given as y=Asinkx+ωt+ϕA is the amplitude of…

Q: A tranverse wave in a medium wave is described by the following equation: y(x,t) = (12 m)cos(3.0x -…

Q: hat is the difference in motion between a transverse and longitudinal wave? Which type(s) can be…

A: Transverse wave = in this wave particle of medium move in the perpendicular direction of wave…

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

A: Given:Distance between two successive minima = 2.76 mThis is also known as the wavelength of the…

Q: frequency of the wave

Q: A steel wire is 5.00 m long and is stretched with a tension of 1400 N . The speed of propagation of…

A: Given data : Length of the wire , L = 5.00 m Tension, T = 1400 N…

Q: How much power the wave may carry?

A: Mass of wire = m =0.5 g = 0.0005 kg Length of wire =L = 30 cm = 0.30 m Mass per unit length = û=…

Q: A wave has an angular frequency of 110 rad/s and a wavelength of 1.80 m. Calculate (a) the angular…

A: A. Angular wave no is defined as = 2π/wavelength Angular wave no. = 2π/1.80 Angular wave no=…

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

The vertical position, y, of any point on a rope that supports a transverse wave travelling
horizontally is given by the equation:
y = 0.5 sin(4nt + 5nx)
with x and y in meters and t in seconds. Find the:
a. amplitude
b. angular frequency
c. frequency

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, 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? .
A copper wire has a density of =8920 kg/m3, a radius of 1.20 mm, and a length L. The wire is held under a tension of 10.00 N. Transverse waves are sent down the wire. (a) What is the linear mass density of the wire? (b) What is the speed of the waves through the wire?
The amplitude of a sound wave is measured in terms of its maximum gauge pressure. By what factor does the amplitude of a sound wave increase if the sound intensity level goes up by 40.0 dB?
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?
A cord has a linear mass density of =0.0075 kg/m and a length of three meters. The cord is plucked and it takes 0.20 s for the pulse to reach the end of the string. What is the tension of the string?
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 7.00 cm, a wave number of k=3.00 m-1, an angular frequency of =2.50 s-1, and a period of 6.00 s, but one has a phase shift of an angle =12 rad. What is the height of the resultant wave at a time t=2.00 s and a position x=0.53 m?
A piano wire has a linear mass density of =4.95103 kg/m. Under what tension must the string be kept to produce waves with a wave speed of 500.00 m/s?
A sound wave traveling in air has a pressure amplitude of 0.5 Pa. What is the intensity of the wave?
A wave is described by y = 0.020 0 sin (kx - t), where k = 2.11 rad/m, = 3.62 rad/s, x and y are in meters, and t is in seconds. Determine (a) (he amplitude, (b) the wavelength, (c) the frequency, and (d) the speed of the wave.
A sound wave is modeled as P=1.80Pasin(55.41m1x18,840s1t) . What is the maximum change in pressure, the wavelength, the frequency, and the speed of the sound wave?
A sound wave is modeled with the wave function P=1.20Pasin(kx6.28104s1t) and the sound wave travels in air at a speed of v=343.00 m/s. (a) What is the wave number of the sound wave? (b) What is the value for P(3.00 m, 20.00 s)?
A string on the violin has a length of 23.00 cm and a mass of 0.900 grams. The tension in the string 850.00 N. The temperature in the room is TC=24.00C . The string is plucked and oscillates in the n=9 mode. (a) What is the speed of the wave on the string? (b) What is the wavelength of the sounding wave produced? (c) What is the frequency of the oscillating string? (d) What is the frequency of the sound produced? (e) What is the wavelength of the sound produced?