The boat sways on waves propagating at a speed of 2.5 m / s. Determine the period of vibration

The boat sways on waves propagating at a speed of 2.5 m / s. Determine the period of vibration of the boat if the distance between the nearest wave crests is 8m.

Given:

u = 2.5 meters per second – the speed of propagation of waves on which the boat is swinging;

l = 8 meters – the distance between the nearest wave crests (wavelength).

It is required to determine T (seconds) – the period of wave oscillations.

To determine the period of wave oscillations, you must use the following formula:

u = l / T, from here we find:

T = l / u = 8 / 2.5 = 80/25 = 3.2 seconds.

Answer: the period of vibration of the boat is 3.2 seconds.