Question

On a particular day the ocean swell has a period of 10 s, a wave velocity of 5.0 m/s, and a wave amplitude of 0.520 m. An anchored boat is bobbing up and down as the wave passes by. What is the peak vertical velocity of the boat

Answer 1

the peak vertical velocity of the boat is 0.3267 m/s

Step-by-step explanation:

Given that;

Time period T = 10 sec

wave velocity = 5.0 m/s

wave amplitude A = 0.520 m

peak vertical velocity of in the wave can be expressed as;

Vp = Aw

where w is angular frequency, ( w = 2π/T)

so

Vp = A × 2π/T

so we substitute

Vp = 0.520 × 2π/10

Vp = 3.2673 / 10

Vp = 0.3267 m/s

Therefore, the peak vertical velocity of the boat is 0.3267 m/s