Problem Statement:

A tuna is swimming with fH/V = 0.30. It suddenly accelerates to a new swimming speed that is 50% higher than the old speed (V₂ = 1.5V₁) while holding fH/V constant. If the amplitude of the tail fin oscillations (H) remains the same, by how much has the oscillation frequency (f) changed?

Solution:

According to the problem statement, fH/V is held constant, so

Canceling H and rearranging gives

That is, the frequency increases in proportion to the increase in swimming speed and the new frequency is 50% higher than the old one.