Waves equation problems

Question

1.Water waves at a lake cross a distance of 5 m in 2.7 s. The period of oscillation is 2 s. What is the wavelength of the water waves?

2.One pulse is generated every 0.76 s in a tank of water. What is the frequency of the pulses?

3.One pulse is generated every 1.00 s in a tank of water. One pulse is generated every 0.100 s in a tank of water. What is the speed of propagation of the wave if the wavelength of the surface wave is 1.3 cm?

*answer and explanation please*

Answer 1

#1. Period of oscillation T =1/f or f=1/T and v=d/t

Using this in the wave equation v= λ•1/T

λ = v•T = d/t•T

therefore λ = 5/2.7•2 = 3.7m

#2 since f = 1/T and time for one pulse (T) = 0.76s

therefore f= 1/0.76 = 1.32Hz

#3. 1/f = T = 1.00s, λ = 1.3cm = 0.013m

v = f•λ = 1•0.013 0.013m/s

Let me know if you need further clarification.

Mr. A