I would like to ask some people to please check my math for me with regard to SF2 missile acceleration.
First, I recommend opening the links below as tabs in a separate browser window, plus your Windows calculator in scientific mode with the unit conversion panel open.
Calculating rocket acceleration<-----Formula Source.
Convert Meters Per Second Squared to Standard Gravity
Convert Standard Gravity to Meters Per Second Squared
Convert Pounds-force to Newtons
Velocity, Acceleration and Time Calculator
Uniform motion (travel distance) Calculator
WesternElectricNikeHerculesBrown.pdf<-----The bulk of the missile data was drawn from this document.
Missile Data <-----This was used to fill in some blanks.
Now, here is the issue. I am calculating the booster and sustainer acceleration g-force for two missiles.
||-----Formulas-----||
Weight (in kg) = Mass (in kg) x 9.81
Resultant Force (newtons, N) = Thrust (in N) – Weight (in kg)
Acceleration (m/s2) = Resultant Force (newtons, N) ÷ Mass (kilograms, kg)
//-----MIM-3 Data-----\\
The MIM-3 missile has a combined missile-booster weight of 2499.3 lbs (1133.663410341 kg).
The missile’s weight is 1193.3 lbs (541.271775121 kg).
The booster’s weight is 1306 lbs (592.39163522 kg).
The booster produces 59,000 lbs of thrust (262445.0753 N) for 3.5 seconds.
The sustainer produces 2600 lbs of thrust (11565.3762 N) for 20.8 seconds.
//-----MIM-3 Calculations-----\\
Missile With Booster
11121.23805544521 kg = 1133.663410341 kg x 9.81
251323.83724455479 N = 262445.0753 N– 11121.23805544521 kg
221.69176049261208816117588018214 m/s2 = 251323.83724455479 N ÷ 1133.663410341 kg
22.606268 g = 221.69176049261208816117588018214 m/s2
Missile With Sustainer
5309.87611393701 kg = 541.271775121 kg x 9.81
6255.50008606299 N = 11565.3762 N – 5309.87611393701 kg
11.557040979394478940811698611408 m/s2 = 6255.50008606299 N ÷ 541.271775121 kg
1.178490g = 11.557040979394478940811698611408 m/s2
For Data File...
BoosterDuration=3.500000
BoosterAccel=22.606268
SustainerDuration=20.800000
SustainerAccel=1.178490
\\-----MIM-14 Data-----//
The second missile has a combined missile-booster weight of 10,550 lbs (4785.3995035 kg).
The missile’s weight is 5,250 lbs (2381.3599425 kg).
The booster’s weight is 5,300 lbs (2404.039561 kg).
The booster produces 173,600 lbs of thrust (772211.272409 N) for 3.4 seconds.
The sustainer produces 13,750 lbs of thrust (61163.04721 N) for 29 seconds.
\\-----MIM-14 Calculations-----//
Missile With Booster
46944.769129335 kg = 4785.3995035 kg x 9.81
725266.503279665 N = 772211.272409 N – 46944.769129335 kg
151.55819336488235166633669125594 m/s2 = 725266.503279665 N ÷ 4785.3995035 kg
15.454635g = 151.55819336488235166633669125594 m/s2
Missile With Sustainer
23361.141035925 kg = 2381.3599425 kg x 9.81
37801.906174075 N = 61163.04721 N – 23361.141035925 kg
15.874083333403933748247300082398 m/s2 = 37801.906174075 N ÷ 2381.3599425 kg
1.618706g = 15.874083333403933748247300082398 m/s2
For Data File...
BoosterDuration=3.400000
BoosterAccel=15.454635
SustainerDuration=29.000000
SustainerAccel=1.618706