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20 January, 20:40

A fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is y (x, t) = 2.30mmcos[ (6.98rad/m) x + (742 rad/s) t]. Being more practical, you measure the rope to have a length of 1.35 m and a mass of 0.00338 kg. You are then asked to determine the following:

A) Amplitude

B) Frequency

C) Wavelength

D) Wave Speed

E) Direction the wave is traveling

F) Tension in the rope

G) Average power transmitted by the wave

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Answers (1)
  1. 20 January, 20:45
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    y (x, t) = 2.30mmcos[ (6.98rad/m) x + (742 rad/s) t]

    A) Amplitude is 2.30mm

    B) Frequency 1 / 2.30mm

    C) Wavelength is 6.98rad/m

    D) Wave Speed is 742 rad/s

    E) Direction the wave is traveling
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