4) If the acceleration at the top of an ocean wave exceeds g, a dangerous situat

Question

4) If the acceleration at the top of an ocean wave exceeds g, a dangerous situation for boats can occur where the top of the wave separates and collapses. For the wave in the introduction, what amplitude would be required to create this condition? 5) A 1.20 mm amplitude sinusoid wave with a frequency of 1200 Hz and wavelength 0.230 m travels on a steel cable with linear density 0.00675 kg/m. What is the tension in the string? 6) A second wave is sent down the same cable described in #5 with the same amplitude, wavelength and frequency as the first, but is offset with an unknown phase constant, . At t=0, the point on the resulting superimposed wave at x 0.045 m has a displacement of y-0 mm. What is the phase constant of the esulting wave? (Give the solution for a non-zero amplitude resulting wave.) 7) The steel cable from #5 has a length of 0.85 m. What is the frequency of the 5 harmonic mode of vibration?

Explanation / Answer

Ans 5)

we know that v = sqrt(T/u) where u = mass density, T = tention, v = velocity

velocity = wavelength*frequency = 0.23*1200 = 276 m/s

T = v^2*u = 276^2 * 0.00675 = 514.188 N

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