Question

while watching ocean waves at the dock of a bay.Ms.Laky notices notices that 10 waves pass beneath her in 30 seconds. she also notices that the distance between successive pedis is about 4 meters. calculate frequeancy,period,wavelength and speed.

Answer 1

Ms. Laky observes 10 waves in 30 seconds with a 4-meter wavelength, resulting in a frequency of 0.33 Hz, a period of 3 seconds, a wavelength of 4 meters, and a wave speed of 1.32 m/s.

Step-by-step explanation:

The question involves calculating the frequency, period, wavelength, and speed of ocean waves observed by Ms. Laky. To find these values, we can apply the fundamental formulas of wave mechanics.

Step-by-step Calculation

1. Frequency (f): The number of waves passing a point every second. Since 10 waves pass in 30 seconds, the frequency is 10 waves / 30 seconds = 0.33 Hz.
2. Period (T): The time it takes for one complete wave cycle to pass a point. It is the reciprocal of the frequency, so T = 1/f. Hence, T = 1/0.33 Hz = 3 seconds.
3. Wavelength (λ): Ms. Laky notices that the distance between successive crests is about 4 meters, so the wavelength λ = 4 meters.
4. Wave Speed (v): This is calculated using the formula v = f * λ. Substituting the values we have, v = 0.33 Hz * 4 meters = 1.32 m/s.

By performing these calculations, we have determined the frequency, period, wavelength, and speed of the ocean waves observed by Ms. Laky at the dock.