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Calcimator

Acrobatic Force Calculator

Forces on flyer and base from acrobatic move and body weights.

About this calculator

Partner acrobatics -- the base-and-flyer work seen in cheerleading stunting, acroyoga, and circus hand-balancing -- puts three distinct kinds of load through the base's body, and this calculator computes each from Newtonian mechanics rather than a single rule of thumb. A Static Hold Force is the simplest: it is just Base Weight (kg) plus Flyer Weight (kg) converted to a compression force through the base's frame, so it scales directly with body weight and each kilogram contributes the same amount of force (about 9.81 N) regardless of which partner carries it -- the two inputs have identical physical weight in the formula. A toss adds a second, larger load: Push-Off Force (N) is the impulse the base must deliver in a fixed roughly-0.3-second push to launch the flyer to Toss Height (m), on top of simply holding the flyer's weight, so it grows with the square root of toss height through the launch-velocity relationship v = sqrt(2gh).

The third and usually largest load is the Catch Force (N) -- decelerating the flyer's falling body from Toss Height (m) in whatever window Catch Duration (ms) allows. Because impact velocity is fixed by the drop height but the base controls how long the catch takes, a shorter Catch Duration (ms) concentrates the same kinetic energy into less time and produces a sharply higher peak force -- this is the same physics behind "give with the catch" coaching cues. This calculator does not model the flyer's own body mechanics (how they absorb or redistribute the catch through their limbs), rotational or twisting loads, grip-specific force distribution across two hands versus one, or fatigue accumulated across a training session -- it only computes the net linear force and energy a controlled drop of the stated height and duration produces, holding everything else about technique constant.

Inputs

lb
lb
ft

Results

Static hold force (N)

1,324.35

Catch force (N)

2,031.41

Static hold force (lbs)297.73
Launch velocity (m/s)5.42
Push-off force (N)1,534.12
Push-off G-force2.84
Air time (s)1.11
Catch force (lbs)456.68
Catch G-force (flyer)3.77
Kinetic energy (J)809.33
Catch Deceleration (G)2.77 G
Base Total Catch Force (N)2,816.21 N
Hold Fatigue Index (kN·s)6.62 kN·s
How to Use This Calculator
  1. Enter the base partner's weight (kg) and the flyer's weight (kg).
  2. Input the toss height (m) — how high the flyer is launched above the base's hands.
  3. Set the catch duration (ms) — shorter catch times produce higher impact forces.
  4. Set the static hold time (s) if you want a fatigue estimate for a sustained hold.
  5. Review Static Hold Force (N/lbs), Catch Force (N/lbs), Catch G-Force, and Hold Fatigue Index — none of these set a safety limit for you, so weigh them against guidance from a qualified coach for your training level.

How the result changes with Base weight (kg)

Base weight (kg)Static hold force (N)Catch force (N)
40931.952,031.41
601,128.152,031.41
1201,716.752,031.41
2002,501.552,031.41

What each input means

Base weight (kg)
Body weight of the base (person on bottom).
Flyer weight (kg)
Body weight of the flyer (person on top / being tossed).
Toss height (m)
Height the flyer is launched above the base's hands (0 for static holds only).
Catch duration (ms)
How long the catch deceleration lasts — shorter = higher forces (200 ms is a controlled catch).
Static hold time (s)
Duration of a static balance hold for fatigue estimation.

What each result means

Static hold force (N)
Compression force on the base during a static hold.
Static hold force (lbs)
Static hold force in pounds.
Launch velocity (m/s)
Upward velocity at release to achieve the toss height.
Push-off force (N)
Peak force on the base during a toss push-off.
Push-off G-force
Multiples of flyer body weight during push-off.
Air time (s)
Total time the flyer is airborne.
Catch force (N)
Peak force on the base's hands during the catch.
Catch force (lbs)
Catch force in pounds.
Catch G-force (flyer)
G-force the flyer experiences during the catch deceleration.
Kinetic energy (J)
Kinetic energy the base must absorb during the catch.
Catch Deceleration (G)
Deceleration during the catch, expressed as multiples of standard gravity.
Base Total Catch Force (N)
Total force the base's body absorbs during the catch (their own weight plus the catch force).
Hold Fatigue Index (kN·s)
Combined weight held multiplied by hold duration -- a rough proxy for cumulative static-hold fatigue.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    5 parameters
    Base weight (kg) = 80, Flyer weight (kg) = 55, Toss height (m) = 1.5, Catch duration (ms) = 200, Static hold time (s) = 5 = 5 input(s) provided
  2. Calculate Static hold force
    1324.35 = 1324.35
  3. Calculate Catch force
    Catch force = flyerMassKg * (impactVelocity / catchDurationSec + g)
    2031.41 = 2031.41
  4. Calculate Static hold force
    Static hold force = baseCompressionN * 0.224809
    297.73 = 297.73
  5. Calculate Launch velocity
    Launch velocity = sqrt(2 * g * tossHeightM)
    5.42 = 5.42

Engine last updated . Checked against 3 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

Does the base's weight or the flyer's weight matter more for static hold force?

Neither -- Static Hold Force is simply Base Weight (kg) plus Flyer Weight (kg) converted to a compression force, and the two inputs carry identical physical weight in that sum: each additional kilogram, on either partner, adds the same roughly 9.81 N to the total. Raising Base Weight (kg) by 10 kg increases the force by exactly the same amount as raising Flyer Weight (kg) by 10 kg. There's no training principle that makes one partner's mass count for more; it's a straight sum.

Why does a shorter catch time produce a much higher catch force?

The flyer arrives at the same impact velocity regardless of how the catch is executed, because that velocity is set entirely by Toss Height (m) and gravity during the fall. What differs is how quickly the base brings that velocity to zero: cramming the same velocity change into a shorter Catch Duration (ms) requires a proportionally larger force, the same relationship that makes a stiff landing hurt more than "giving" with your knees. This is why coaches emphasize catching with bent arms and absorbing through the whole body rather than stopping the flyer abruptly.

Does the static hold time affect the forces on the base?

No -- Static Hold Time (s) only feeds the Hold Fatigue Index, a rough proxy for cumulative strain (force multiplied by how long it's sustained), and does not change any of the instantaneous force values themselves. Static Hold Force (N), Push-Off Force (N), and Catch Force (N) are all peak or steady-state values determined by weight, toss height, and catch duration alone -- holding a position longer makes it more fatiguing, not more forceful at any given instant.

What does the G-force number actually mean for safety?

Catch Deceleration (G) expresses the catch force as a multiple of the flyer's own body weight rather than a raw number in newtons, which makes it comparable across flyers of different sizes -- a catch producing 3 G means the flyer experiences roughly three times their own body weight in deceleration force. This calculator reports the number but does not set a safety threshold for you: acceptable G-forces depend on the flyer's training level, conditioning, and the specific skill, and should be evaluated against guidance from a qualified coach, not a fixed cutoff.

Why does toss height affect catch force but not through a straight-line relationship?

Impact velocity from a fall follows v = sqrt(2 x g x h), a square-root relationship, not a linear one -- so doubling Toss Height (m) increases the impact velocity by only about 41%, not 100%, and Catch Force (N) grows by roughly that same proportion rather than doubling outright. Small increases in toss height still raise catch force, just with diminishing returns per additional inch of height compared to what a straight-line relationship would predict.

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