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Calcimator

Sight Tape Calculator

Calculate sight pin settings and arrow drop at various distances based on arrow speed and sight height.

About this calculator

An arrow leaving the bow starts dropping under gravity the instant it's released, and a sight tape exists to tell an archer exactly how much to compensate for that drop at each distance by adjusting where the sight pin points. This calculator estimates drop using a simplified point-mass trajectory model — treating the arrow as a single point subject only to gravity and its initial forward speed, converted from feet per second and yards into a drop figure in inches at 20, 30, 40, 50, and 60 yards. Because drop under this model scales with the square of both distance and inverse speed, a faster arrow drops dramatically less than a slower one over the same distance, and the drop at 60 yards is far more than triple the drop at 20 yards even though the distance itself is only triple.

This is a genuine physics estimate, but it's a simplified one: it doesn't currently incorporate the pin gap measurements you can enter, which record how far apart your sight pins actually sit at real, physically confirmed distances, nor does it factor in sight height, the geometric offset between where the arrow physically leaves the bow and where the sight pin itself is mounted — both of which a fully calibrated sight tape build normally uses to correct a theoretical trajectory against real-world confirmed data. Actual arrow flight is also affected by factors a point-mass model doesn't capture at all, including arrow fletching drag, wind, and how the arrow flexes in flight, so treat this calculator's numbers as a starting estimate to fine-tune at the range with real shots at each distance, not a final sight tape ready to trust without confirmation.

Inputs

in
in
in
fps

Results

Drop at 40 yd

35.46 in

≈ 10 credit cards

Drop at 50 yd

55.4 in

≈ 9 smartphones

Drop at 20 yd8.86 in
Drop at 30 yd19.94 in
Drop at 60 yd79.78 in
How to Use This Calculator
  1. Measure your pin gap at 20 yards and 30 yards using a ruler on your sight.
  2. Enter Sight Height (arrow rest to sight pin plane in inches) and Arrow Speed in fps.
  3. Review calculated arrow drop at 20, 30, 40, 50, and 60 yards.
  4. Use the drop values to create a sight tape or reference card for field use.
  5. Rerun after any bow setup change (new arrows, draw weight adjustment) to update the tape.

How the result changes with Arrow Speed

Arrow SpeedDrop at 40 ydDrop at 50 yd
150123.55 in193.04 in
21063.03 in98.49 in
40017.37 in27.15 in

What each input means

Pin Gap at 20 yds
Measured pin gap between 20-yard and top pin, for your own reference. The drop values below are calculated from arrow speed alone and don't currently calibrate against this measurement.
Pin Gap at 30 yds
Measured pin gap between 30-yard and top pin, for your own reference — not currently factored into the calculated drop values below.
Sight Height
Distance from arrow rest to sight pin plane, for your own reference — not currently factored into the calculated drop values below, which use a simplified point-mass trajectory from arrow speed only.
Arrow Speed
Chronographed arrow speed in feet per second.

What each result means

Drop at 20 yd
Arrow drop in inches at 20 yards.
Drop at 30 yd
Arrow drop in inches at 30 yards.
Drop at 40 yd
Arrow drop in inches at 40 yards.
Drop at 50 yd
Arrow drop in inches at 50 yards.
Drop at 60 yd
Arrow drop in inches at 60 yards.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Pin Gap at 20 yds = 0.5, Pin Gap at 30 yds = 1.2, Sight Height = 6, Arrow Speed = 280 = 4 input(s) provided
  2. Calculate Drop at 40 yd
    Drop at 40 yd
    35.46 = 35.46
  3. Calculate Drop at 50 yd
    Drop at 50 yd
    55.4 = 55.4
  4. Calculate Drop at 20 yd
    Drop at 20 yd
    8.86 = 8.86
  5. Calculate Drop at 30 yd
    Drop at 30 yd
    19.94 = 19.94

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why don't my measured pin gap entries change the calculated drop values?

The current calculation estimates drop purely from a simplified physics trajectory based on arrow speed and distance, and doesn't yet blend in the pin gap measurements you can enter as a calibration correction against your bow's real, physically confirmed sight settings. Those measurements are captured for your own reference alongside the calculated estimate, but the two aren't currently combined into one calibrated result.

Why does drop increase so much faster than distance itself?

Under this trajectory model, drop scales with the square of distance, so tripling the distance from 20 to 60 yards doesn't triple the drop — it multiplies it roughly ninefold, all else equal, which is why the gap between consecutive sight pins keeps widening at longer distances rather than staying evenly spaced. This is a fundamental property of projectile motion under gravity, not specific to any particular bow or arrow setup.

Why does arrow speed have such a big effect on drop at long range?

Drop scales inversely with the square of velocity in this model, meaning a relatively modest increase in arrow speed produces an outsized reduction in drop, especially at longer distances where the arrow spends more total time in flight for gravity to act on. This is exactly why archers chase faster bow setups partly for a flatter trajectory, not just for more kinetic energy on impact.

Should I trust these calculated drop values to build my actual sight tape without further adjustment?

Treat them as a solid starting estimate rather than a finished, ready-to-shoot sight tape — real arrow flight is affected by fletching drag, wind, arrow flex, and individual bow tuning quirks that a simplified point-mass trajectory doesn't model, and even chronographed arrow speed can vary shot to shot. Confirming and fine-tuning each pin's actual position by shooting groups at each real distance is the standard, reliable way archers finalize a sight tape.

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