Summary of useful formulas for Questions regarding CG
- Finding CG by mass and moment
Moment = Arm x Mass
CG = Total Moment / Total Mass
! Moments in front of the datum are negative ("-" sign) and those behind datum are positive ("+" sign)
- Mean Aerodynamic Chord
CG (as %) converting to CG (as distance behind LE) =
1: Divide the number by 100
2: Multiply by the MAC length
CG (as distance behind LE) converting to CG (%MAC) =
1: Divide the number by MAC length
2: Multiply by 100
- Adding, Removing and moving Mass
1: When Question states that mass is added
Change in Mass / New total mass = Change in CG / Distance mass & Old CG
2: When Question states that mass is removed
Change in Mass / Old total mass = Change in CG / Distance mass & New CG
3: When Question states that mass is moved
Change in Mass / Total mass = Change in CG / Distance moved
- Finding CG by mass and moment
Moment = Arm x Mass
CG = Total Moment / Total Mass
! Moments in front of the datum are negative ("-" sign) and those behind datum are positive ("+" sign)
- Mean Aerodynamic Chord
CG (as %) converting to CG (as distance behind LE) =
1: Divide the number by 100
2: Multiply by the MAC length
CG (as distance behind LE) converting to CG (%MAC) =
1: Divide the number by MAC length
2: Multiply by 100
- Adding, Removing and moving Mass
1: When Question states that mass is added
Change in Mass / New total mass = Change in CG / Distance mass & Old CG
2: When Question states that mass is removed
Change in Mass / Old total mass = Change in CG / Distance mass & New CG
3: When Question states that mass is moved
Change in Mass / Total mass = Change in CG / Distance moved