You fire an arrow with a whistle attached to the tip. Air enters the whistle by inertia, and it generates?

Question

its characteristic frequency. Since nothing is causing air pressure, forcing air into the whistle, it must be that the energy to sound the whistle is taken from the initial impetus of the arrow. The loss of energy must produce an effect similar to an increase in drag, or air resistance.

How much less distance is the arrow likely to travel than a similar arrow (equal mass) fired without a whistle?

Will it be noticeable? Or insignificant?

Answer 1

How far depends on the coefficient of drag of an arrow with a whistle verses one without. Most of the flying energy lost by the whistling arrow will be turned into sound waves, so it should have a larger coefficient of drag.

I assume that if you wanted a really loud whistle, then the drag would have to be large enough to be noticeable.

Answer 2

What makes the whistle produce the characteristic frequency is the passing of the air through it, not the air pressure. Air pressure, when you blow into a whistle makes the sound stronger so it is "louder". So, when the whistle is passing through the air, it is as if it was stationary and air was moving through it to create sound. The energy dissipated under such circumstances is so minute compared to the total energy released by the whole arrow and whistle system that its effect on the distance traveled by the whole system is negligible.