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a cork on the surface of a pond bobs up and down two times per second on ripples having a wavelength of 7.90 cm. if the cork is 13.5 m from shore, how long does it take a ripple passing the cork to reach the shore?

Respuesta :

The time taken for the cork to reach the shore is 85.44 s.

What is the wave's fundamental formula?

Write down the wave function as y(x,t)=Asin(kxt+) to determine a sinusoidal wave's amplitude, wavelength, period, and frequency. The equation itself can be used to read the amplitude, which equals A. The angular frequency (T=2) can be used to calculate the wave's period.

Calculation:

Frequency of oscillation, f = 2hz

Wavelength of oscillation, λ = 7.90 cm

Distance of the cork from the shore, d = 13.5 cm

The speed of wave is:

v = f × λ

v = 2 × 0.079

v = 0.158 m/s

Time taken by the cork to reached the shore is:

time = distance / speed

time = 13.50 / 0.158

time = 85.44 s

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