A sinusoidal wave travels along a stretched string. A particle on the string has a maximum speed of 2.0 m/s and a maximum acceleration of 200 m/s2. What are the frequency and amplitude of the wave?
The frequency of the wave is
The amplitude of the wave is,
The string has a maximum speed of
The string has a maximum acceleration of
The maximum speed can be written by,
The maximum acceleration can be expressed by,
According to the question, we can write,
The frequency of the wave can be obtained by,
Now, the amplitude of the wave can be determined by the expression of maximum speed,
A wire is made by welding together two metals having different densities. FIGURE P16.59 shows a 2.00-m-long section of wire centered on the junction, but the wire extends much farther in both directions. The wire is placed under 2250 N tension, then a 1500 Hz wave with an amplitude of 3.00 mm is sent down the wire. How many wavelengths (complete cycles) of the wave are in this 2.00-m-long section of the wire?
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