Question

You dip your finger into a pan of water twice each second, producing waves with crests that are separated by 0.15 m. Determine the frequency, period, and speed of these water waves.

Answer 1

The frequency of the waves is 2 Hz, the period is 0.5 s, and the speed is 0.3 m/s.

Step-by-step explanation:

The frequency of a wave is the number of complete waves passing a point in one second. In this case, the student dips their finger into the water twice each second, so the frequency of the waves is 2 Hz.

The period of a wave is the time it takes for one complete wave to pass a point. The period can be calculated by taking the inverse of the frequency. So in this case, the period of the waves is 0.5 s.

The speed of a wave can be calculated by multiplying the wavelength by the frequency. In this case, the crests of the waves are separated by 0.15 m, so the wavelength is 0.15 m. Multiplying the wavelength by the frequency of 2 Hz gives a wave speed of 0.3 m/s.

Answer 2

Frequency = rate of sploosh = 2 per second = 2 Hz.

Period = ( 1/frequency ) = 1/2 second

Speed = (wavelength) x (frequency) = (0.15m) x ( 2/sec) = 0.075 m/s .