Question

Ocean waves are traveling to the east at 3.2 m/s with a distance of 19 m between crests. (a) With what frequency do the waves hit the front of a boat when the boat is at anchor? Hz (b) With what frequency do the waves hit the front of a boat when the boat is moving westward at 1.5 m/s?

Answer 1

Answer:

(a) Frequency will be 0.168 Hz

(b) Frequency will be 0.0789 Hz

Explanation:

(a) We have given velocity of the ocean waves in east direction v = 3.2 m /sec

Distance between the crest $\Delta x=\lambda =19m$

We know that $v=\lambda f$

So $3.2=19\times f$

$f=0.168Hz$

(b)Velocity of the ocean waves in westward direction v = 1.5 m /sec

Distance between the crest $\Delta x=\lambda =19m$

We know that $v=\lambda f$

So $1.5=19\times f$

$f=0.0789Hz$