boring math (probably accurate)

local k = -math.log(0.05) / 100000 -- decay factor for workspace.AirDensity, roblox docs say that the density is 5% of the AirDensity property at 100k studs soooo

local Cd0 = 0.03 -- in the range of general aviation aircraft, good enough

function gToKgPerM3(r)

return r * 1000

end

-- get air density at Y value, also converts to kg/m^3 so it can be used in lift calc

function AirDensity(y)

local v = workspace.AirDensity -- measured in g/cm^3

local x = (y < 0 and v) or v * math.exp(k * y)

return gToKgPerM3(x)

end

local module = {}

function stom(s)

return s * 0.28

end

function mtos(m)

return m * 3.57

end

-- Calculate the lift coefficient. This is automatically used in BoringMath.Lift so calling this from your code is not needed.

function module.LiftCoefficient(AngleOfAttack)

return 2 * math.pi * AngleOfAttack

end

-- Calculates lift force in newtons.

function module.Lift(Altitude, Speed, Area, AngleOfAttack)

Speed = stom(Speed)

local r = AirDensity(Altitude)

local Cl = module.LiftCoefficient(AngleOfAttack)

return .5 * Cl * r * Speed^2 * Area

end

-- Calculate the drag coefficient. This is automatically used in BoringMath.Drag so calling this from your code is not needed.

function module.DragCoefficient(Cl, Ar, e)

e = e or 0.7

return Cd0 + Cl^2 / (math.pi * Ar * e)

end

-- Calculates drag force in newtons.

function module.Drag(Altitude, Speed, Area, AngleOfAttack, Ar, e)

local r = AirDensity(Altitude)

local Cd = module.DragCoefficient(module.LiftCoefficient(AngleOfAttack), Ar, e or 0.7)

return .5 * Cd * r * Speed^2 * Area

end

-- Converts a force in newtons (i.e the output of BoringMath.Drag and BoringMath.Lift) to an impulse in studs. Takes in the force in newtons and the AssemblyMass of the object.

function module.ForceToImpulse(forceN, massRMU)

local kgPerRMU = 21.952

local metersPerU = 0.28

local massKg = massRMU * kgPerRMU

local velocityChange = forceN / massKg

local distanceMeters = velocityChange

local distanceU = distanceMeters / metersPerU

return distanceU

end

return module