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In this lesson, we will learn how to relate the propagation characteristics of waves along strings with strings' linear mass densities and tensions.
Q1:
A string with a linear mass density of 0.0060 kg/m is tied to the ceiling and a mass of 20 kg is tied to the free end of the string. The string is plucked, sending a pulse down the string. Find the speed of the pulse down the string.
Q2:
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string? Give your answer in milliseconds.
Q3:
A transverse wave on a horizontal string with linear mass density of 0.00600 kg/m is described with the equation
where 𝑣 𝑤 is the wave’s angular frequency, 𝑥 is measured in meters, and 𝑡 is measured in seconds.
The string is under a tension of 3 . 0 0 × 1 0 2 N.
At what speed does the wave propagate along the string?
What is the wave number of the wave?
What is the angular frequency of the wave?
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