Lo2 waves
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A vibrator produces waves in a 2 meter string attached to a blackboard. The document asks questions about identifying nodes and antinodes, calculating frequency and wave speed from time taken for one round, calculating new wave speed and wavelength when tension is reduced, and explaining how wavelength changes with increasing tension.
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This Learning Object 6 is based on Standing Waves. It gives a detailed description about what a standing wave is and how standing waves are formed. As well, the equations necessary to break down standing waves to get the amplitude, nodes, antinodes, etc are all included. Furthermore, a practice question is included along with a detailed solution to solve the problem with ease.
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Standing waves are created by two harmonic waves of equal amplitude, wavelength and frequency moving in opposite directions. Nodes occur where the amplitude is always zero, while antinodes occur where the amplitude is at its maximum between -2A and 2A. The distance between nodes and antinodes is λ/2, while the distance between a node and the nearest antinode is λ/4. The frequency of the mth harmonic is given by fm = m*f1, where f1 is the fundamental frequency.
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This document discusses harmonic waves and travelling harmonic waves. It provides relevant equations such as the wave number k being equal to 2π divided by the wavelength λ. The angular frequency ω is equal to 2π divided by the period T. The displacement of a travelling harmonic wave D(x,t) is described by the equation D(x,t) = A sin(kx - ωt) where A is the amplitude, k is the wave number, x is position, ω is angular frequency, and t is time. An example problem is worked through to find the displacement, wavelength, and frequency of a travelling harmonic wave given its displacement equation.
Travelling waves
This document discusses harmonic waves and travelling harmonic waves. It provides relevant equations including that the wave number k is equal to 2pi divided by the wavelength lambda. It also defines the angular frequency w as equal to 2pi divided by the period T. The displacement of a travelling harmonic wave D(x,t) is described by the equation D(x,t) = A sin(kx - wt) where A is the amplitude, k is the wave number, x is position, t is time, and w is the angular frequency. An example problem is worked through to find the displacement, wavelength, and frequency of a travelling harmonic wave given its displacement equation.
Janzen hui lo2 standing waves
Standing waves can be described by the equation D(x,t) = 2A sin(kx) cos (ωt). Nodes occur where the amplitude is zero and antinodes where it is maximum. On a vibrating string, the wavelength is determined by the length of the string and tension. The fundamental frequency produces the longest wavelength with no nodes. Higher harmonics have shorter wavelengths and more nodes. Examples calculate the frequency of a guitar string at different tensions and lengths of the standing wave where the amplitude is a given value.
Learning Object Harmonic Waves
The document describes harmonic waves and provides an example involving echolocation in bats. It defines harmonic waves using the equation D(x) = A sin(kx) and discusses key terms like amplitude, wavelength, wave number, and speed. For the bat example, it calculates that the speed of the sound wave is 75,000 m/s, the wave number is 0.84 rad/m, and the equation for the travelling wave is D(x, t) = 0.9sin(4.19x- 0.000126t). It also sketches the function.
Physics lo6
A standing wave is composed of two harmonic waves of equal amplitude, wavelength, and frequency that move in opposite directions. Nodes occur where the amplitude is zero and do not move. Antinodes occur at points of maximum amplitude. For a standing wave with wavelengths of 0.80m and frequencies of 95Hz, the equation is D(x,t) = 6sin(7.85x)cos(596.9t). The nodes occur at 0m, 0.40m, and 0.80m, and the antinodes occur at 0.20m, 0.60m, and 1.0m. The amplitude at any point x is given by A(x)=6sin(7.
Phys 101 lo3
This Learning Objective gives a broad look at the basics of Harmonic Waves. Definitions, equations and examples of basic clicker questions are provided as well as the answers and the solutions as to how these questions are properly done.
General Wave Properties
This document provides information about wave properties and behavior. It defines key wave terms like amplitude, wavelength, frequency, speed, and wavefront. It describes the differences between transverse and longitudinal waves, giving examples of each type. It explains how ripple tank experiments can demonstrate the reflection and refraction of water waves at boundaries where speed changes. Reflection causes a change in wave direction while preserving other properties. Refraction is caused by a change in speed, causing a change in wavelength and direction but preserving frequency. Sound wave reflection and refraction are also described.
waves and wave properties clem_waves_lesson02_presentation.ppt
A presentation on wave and wave properties
waves ppt.ppt
Waves are disturbances that transfer energy through a medium from one point to another without transferring matter. There are two main types of waves: transverse waves, where the medium moves perpendicular to the wave direction, and longitudinal waves, where the medium moves parallel to the wave direction. Key wave properties include wavelength, frequency, amplitude, and speed. The energy of a wave depends on its amplitude, with higher amplitudes corresponding to more energy. Waves can change direction through reflection at surfaces, refraction when entering a new medium, and diffraction bending around obstacles.
clem_waves_lesson02_presentation.ppt
Waves are disturbances that transfer energy through a medium from one point to another without transferring matter. There are two main types of waves: transverse waves, where the medium moves perpendicular to the wave direction, and longitudinal waves, where the medium moves parallel to the wave direction. Key wave properties include wavelength, frequency, amplitude, and speed. The energy of a wave depends on its amplitude, with higher amplitudes corresponding to more energy. Waves can change direction through reflection at surfaces, refraction when entering a new medium, and diffraction bending around obstacles.
Waves and Wave Properties--Teach Engineering
This document defines and explains key properties and concepts related to waves. It begins by defining a wave as a disturbance that transfers energy through a medium from one location to another without transferring matter. It describes two main types of waves: transverse waves, where the medium moves perpendicular to the wave direction, and longitudinal or compressional waves, where the medium moves parallel to the wave direction. The document then outlines several important wave properties, including wavelength, frequency, amplitude, speed, and how waves can change direction through reflection, refraction, and diffraction processes. It provides mathematical relationships to define these concepts.
Lerning objectweek7(lo5) hanahpark
The document discusses standing waves on a string. It provides examples of calculating the mass hanging on the end of a string, the maximum mass that can be used to still create a coherent standing wave pattern for a fixed frequency, and the fundamental frequency and wave speed for standing waves on a string fixed at both ends showing successive frequencies. It also gives an example of calculating the frequency of a wave source based on the time it takes the wave to travel a given distance and the number of complete loops observed.
Ch15 ssm
The document summarizes problems from Chapter 15 of a physics textbook about traveling waves.
1. A pulse sent up a vertical rope will travel faster as it moves toward the ceiling because the tension in the rope increases due to the weight of the rope below the pulse.
2. Using strings with different linear mass densities allows a piano manufacturer to use strings with lengths that are all the same order of magnitude by accommodating extremely high frequencies on relatively short strings.
3. If two sound waves have the same amplitude but one frequency is twice the other, the average energy density of the higher frequency sound is four times that of the lower frequency sound.
Physics LO - Investigation of Standing Waves on Strings (Updated)
This document discusses standing waves on strings. It defines standing waves as occurring from the interference of two waves moving in opposite directions with identical properties. Standing waves form nodes and antinodes due to constructive and destructive interference. The frequency of standing waves can be decreased by making the string longer, using a thicker string, or decreasing the tension. The document works through multiple choice and multi-part problems applying the formulas for string frequency and wave speed to calculate values for a specific string's harmonics and speed.
Physics LO - Investigation of Standing Waves on Strings
This document discusses standing waves on strings. It defines standing waves as occurring from the interference of two waves moving in opposite directions with identical properties. Standing waves form nodes and antinodes due to constructive and destructive interference. The frequency of standing waves can be decreased by making the string longer, using a thicker string, or decreasing the tension. The document works through multiple choice and multi-part problems applying the formulas for string frequency and wave speed to calculate values for a specific string's harmonics and speed.
Similar to Lo2 waves (20)
waves and wave properties clem_waves_lesson02_presentation.ppt
waves and wave properties clem_waves_lesson02_presentation.ppt
Physics LO - Investigation of Standing Waves on Strings (Updated)
Physics LO - Investigation of Standing Waves on Strings (Updated)
Physics LO - Investigation of Standing Waves on Strings
Physics LO - Investigation of Standing Waves on Strings
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Lo2 waves
- 1. Waves
- 2. A vibrator produces waves in a string, whose L=2.0 meters and is connected to a blackboard as shown below.
- 3. A. Draw the waves as it reaches the blackboard and after it touches it. Also determine the direction of the waves and label the node and the antinode. (The standing wave that is produced is 4th Harmonic.)
- 4. B. The time taken to complete 1 round, that is ends where it started, is 0.45 seconds. What is wave’s frequency? How fast does the wave travel? Solution: 4 complete cycles are covered by the wave as it travels a round. f = 4 cycles = 8.89 Hz 0.45 s The wavelength if 1.0 m. v = fλ = (8.89 Hz)(1.0 m) = 8.89 m/s
- 5. C. The situation remains the same, however, the tension is reduced to 3 N. The linear density is 0.09 kg/m. Calculate the string’s wave speed . Also, calculate the wavelength of the wave. Solution: v = √(Ts/μ) = √(3 N/ 0.09 kg/m) = 5.77 m/s λ = v/f = (5.77 m/s) / (8.89 Hz) = 0.649 m
- 6. D. Now the tension of the string is increased even more than at the beginning of the situation. Describe the difference in the wavelength from part A. Explain. Sketch the wave with increased tension. Solution: The wave speed increases with increasing tension. Frequency reflects no change. Wavelength is proportional to wave speed, therefore, the wavelength increases.