You construct a wave generator for the lake at your summer camp. It has a rotati

Question

You construct a wave generator for the lake at your summer camp. It has a rotating flywheel of 1.0m in diameter and can turn at various frequencies. You initially set it for 0.5 cycles/sec. The speed of the waves on the water is 2 m/s.   You start the machine at time t=0 at the position shown.

                            k =

You place an inner tube 4.0 m away from the wave machine and you want to know what the waves look like at t=6.0 s. Use the graphs provided to label the locations of the peaks and valleys of the wave as a function of position.

B You want to place a second wave machine beyond the inner tube (between 6.0m and 10.0m). Where would you place the second plunger to get a maximum wave at the inner tube?   Use the graphs provided to show and label the graphs.

C           What would you do to make the waves at the inner tube be zero even when both wave machines are running? Use the graphs to show how this would work.  

Explanation / Answer

No graphs are seen.So only part will be solved.

frequency, f=0.5Hz

speed, v=2 m/s

Wavelength, =v/f= 2/0.5= 4m

Angular velocity =2f= 2**0.5= 3.142 rad/s

Wave number, k=2/= 2/4 = 1.571

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