2LC_Lab_2_WavesOnAString3_3 - Wave Properties on a String...

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Wave Properties on a String (Includes Prelab Assignment) Objective: Understanding waves and wave motion on a string. We will verify two basic relations for mechanical waves. 1. The product of the frequency and wavelength of the waves is equal to the velocity of the wave. This is written as: v = λ f where v is the velocity, f is the frequency and is the wavelength. 2. For the case of waves traveling on a string, the velocity of the wave is related to mass per unit length of the string and the string tension F , as v = F μ . Apparatus The apparatus includes: 1. Variable frequency mechanical drive 2. Function (waveform) generator with frequency meter 3. String--pulley--hanging mass system including 2 different strings 4. Meter stick 5. Analytical scale (milligram precision) 6. Computer with Data Studio software The Physics:
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Wave motion appears in almost all areas of Physics. We have been studying mechanical waves – waves on strings, sound waves, water waves, etc. Waves will appear again in electricity and magnetism (light) and in modern quantum physics (matter waves). The figure below shows a traveling wave in a string at some instant in time. The wave is traveling to the right (positive x direction). As the wave travels the string moves up and down in the y - direction. This is the displacement of the string in the y -direction. Note that the string position is displaced in the y - direction in a sinusoidal manner. The points where the displacement is zero are called the nodes. The wave can be characterized by the following parameters: 1. y 0 - the wave amplitude i.e. maximum displacement in the y - direction. 2. λ - the wavelength , the distance in which the wave repeats itself 3. v - the wave velocity 4. T – the period , which is the time taken for a point on the string to execute one complete up and down movement. This also means that the wave has to travel a distance λ in that time interval.
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This note was uploaded on 07/26/2010 for the course ECON ECON-003 - taught by Professor Das during the Winter '09 term at UC Riverside.

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2LC_Lab_2_WavesOnAString3_3 - Wave Properties on a String...

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