Calculating Wave Speed for a Jetskier

AI Thread Summary
To calculate the wave speed for the jetskier, the relevant equation is velocity = frequency * wavelength. The jetskier's bumping frequency is 1.1 Hz, and the distance between wave crests (wavelength) is 5.6 m, leading to an initial calculation of 6.16 m/s for wave speed. However, since the jetskier is moving in the same direction as the waves at 9.8 m/s, the total wave speed should be the sum of the calculated wave speed and the jetskier's speed. The correct approach involves recognizing that the effective wave speed is influenced by the motion of the jetskier. Thus, the final wave speed can be determined by adding the two velocities together.
sheri1987
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Homework Statement



A jetskier is moving at 9.8 m/s in the direction in which the waves on a lake are moving. Each time he passes over a crest, he feels a bump. The bumping frequency is 1.1 Hz, and the crests are separated by 5.6 m. What is the wave speed?



Homework Equations



velocity = frequency * wavelength

The Attempt at a Solution



I thought to multiply the 1.1 Hz which is the frequency by the 5.6 which is the wavelength to get a velocity...I got 6.16 m/s then I was not sure what to do next...should I add it to the jetskier's velocity 9.8 m/s because they are going in the same direction? What should I do?
 
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This is the doppler effect. For an observer moving away from the source of the waves (i.e. moving the the same direction) then the observed frequency is:

f'=\left( 1-\frac{v_o}{v}\right) f
 
only the bumping frequency is given...how do I solve for the other frequency to plug into the equation
 
Remember that frequency is the wave speed divided by the wavelength.
 
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