Weight and Balance Calculator for Aircraft
Accurate weight and balance calculations are critical for safe aircraft operations. Our weight and balance calculator helps pilots, flight planners, and aviation professionals quickly determine the center of gravity (CG) position and verify that the aircraft is loaded within approved limits. Whether you're flying a single-engine piston, light twin, or business jet, proper weight and balance calculation ensures optimal performance and maintains airworthiness compliance with FAA and EASA regulations. This calculator uses the moment method to determine CG location by calculating the sum of all weight moments and dividing by total weight. Enter your aircraft's empty weight data, add passenger and baggage weights at their respective stations, and instantly see if your loading is within the approved CG envelope. The tool includes margin calculations showing how close you are to forward and aft limits, helping you make informed loading decisions before every flight.
Instant CG Calculation
Real-time center of gravity computation using the moment method. Results update automatically as you enter weights, showing precise CG location in inches from datum.
Limit Checking
Automatic verification against forward and aft CG limits with clear visual indicators. See exactly how much margin you have to limits before exceeding the envelope.
Multiple Stations
Support for all common loading stations including pilot, copilot, passengers, baggage compartments, and fuel. Customize moment arms for your specific aircraft type.
Safety Margins
Calculate margins to both forward and aft CG limits, helping you understand how loading changes affect CG position and maintain safe operating margins.
Aircraft & Loading Data
Basic Empty Weight
Loading Stations
Weight & Balance Results
How to Calculate Weight and Balance
Enter Basic Empty Weight Data
Find your aircraft's Basic Empty Weight (BEW) and moment arm in the weight and balance section of your aircraft's POH or Flight Manual. The BEW includes the aircraft structure, engine, installed equipment, and unusable fuel. The moment arm is typically listed in inches from the datum reference point. Always use the most recent weight and balance report as equipment changes affect these values.
Add Occupant and Cargo Weights
Enter the actual weight for each occupant and baggage compartment. Use real weights rather than standard weights when possible for accuracy. The calculator uses predefined moment arms for each station based on typical aircraft configurations. For precise calculations, verify these moment arms match your specific aircraft type in the POH. Include all items that will be carried on the flight including passengers, baggage, cargo, and any special equipment.
Enter Fuel Weight
Calculate fuel weight based on your fuel load. For aviation gasoline (Avgas), use 6 lbs per US gallon. For Jet A/A-1, use approximately 6.7 lbs per gallon (or convert from kg using fuel calculator). Remember that fuel weight affects CG position, and CG will shift forward as fuel burns during flight. Consider checking W&B for both departure and arrival fuel states on long flights.
Verify CG is Within Limits
Review the calculated CG position and confirm it falls between the forward and aft CG limits specified in your aircraft's approved CG envelope. The result indicator shows whether you're within limits (green) or outside limits (red). Check the margin values to see how close you are to each limit. If outside limits, redistribute weight by moving passengers, reducing baggage, or adjusting fuel load until the CG is within the approved envelope.
Why Accurate Weight and Balance Matters
Flight Safety
Proper CG position ensures stable and controllable flight characteristics. Operating outside CG limits can result in difficulty controlling the aircraft or even loss of control in extreme cases.
Performance Optimization
Correct weight distribution improves fuel efficiency, takeoff performance, and landing characteristics. A properly loaded aircraft performs better and uses less fuel.
Regulatory Compliance
FAR 91.9 requires pilots to comply with operating limitations including weight and balance. Proper W&B calculation is a regulatory requirement for every flight.
Structural Protection
Operating within approved weight limits protects aircraft structure from overstress. Exceeding maximum takeoff weight can lead to structural damage and reduced service life.
Stall Prevention
Aft CG positions increase stall risk and reduce stall warning. Forward CG positions require higher approach speeds. Staying within limits maintains predictable stall characteristics.
Free to Use
Professional-grade weight and balance calculations at no cost. No registration, no subscriptions, just instant accurate results for flight planning.
Understanding Weight and Balance Concepts
Weight Terms
- Basic Empty Weight: Aircraft + fixed equipment + unusable fuel
- Zero Fuel Weight: BEW + occupants + cargo (before fuel)
- Ramp Weight: Total weight ready for taxi (includes taxi fuel)
- Takeoff Weight: Ramp weight minus taxi fuel burn
- Landing Weight: Takeoff weight minus trip fuel burn
Balance Terms
- Datum: Reference point for all measurements (usually firewall or nose)
- Arm: Distance from datum to center of weight (inches)
- Moment: Weight × Arm (lb-in or kg-cm)
- CG: Total moment ÷ total weight (center of gravity location)
- CG Envelope: Approved range of CG positions for safe flight
CG Effects
- Forward CG: Increased stability, higher stall speed, more control force needed
- Aft CG: Decreased stability, lower stall speed, less control force
- Optimal CG: Usually slight forward of center for best efficiency
- Fuel Burn: CG shifts as fuel is consumed from tanks
Important: This calculator uses example moment arms and CG limits for demonstration. Always use the actual values from your specific aircraft's POH or Flight Manual. Different aircraft models, even within the same type, can have different weight and balance characteristics due to equipment variations and modifications. The pilot-in-command is responsible for ensuring accurate weight and balance calculations using approved aircraft-specific data.
Frequently Asked Questions
What happens if I fly with the CG out of limits?
Operating outside the approved CG envelope is extremely dangerous and violates FARs. A CG too far forward makes the aircraft nose-heavy, requiring excessive elevator force to flare during landing and potentially leading to a nosewheel-first touchdown. It also increases stall speed. A CG too far aft makes the aircraft unstable and difficult to control, with reduced stall warning and potential for unrecoverable spins. The aircraft may become uncontrollable in pitch. Always redistribute weight or reduce load to bring CG within limits before flight.
How do I find my aircraft's moment arms?
Moment arms for each loading station are listed in Section 6 (Weight & Balance) of your aircraft's POH or Flight Manual. They are measured in inches from the datum reference point (typically marked on the aircraft firewall or leading edge). Each model and sometimes each serial number can have different moment arms due to equipment variations, so use the data specific to your aircraft's serial number. The loading graph or table in the POH shows exact arm values for pilot, copilot, passengers, baggage compartments, and fuel tanks.
Do I need to recalculate W&B for every flight?
Yes, FAR 91.9(a) requires the pilot-in-command to comply with operating limitations, including weight and balance. You must perform a weight and balance calculation before each flight when loading changes from your last calculation. Even if you fly the same aircraft regularly, passenger weights, baggage, and fuel loads vary between flights. Many pilots maintain a W&B worksheet for each flight in their records. For commercial operations, W&B calculations are mandatory documentation retained in the flight records.
How does fuel burn affect CG during flight?
As fuel burns during flight, total weight decreases and CG position shifts. The direction of shift depends on fuel tank locations relative to the CG. If tanks are ahead of the CG, the CG moves aft as fuel burns. If tanks are aft of the CG, it moves forward. Most aircraft have fuel tanks positioned so CG remains within limits throughout the flight, but on longer flights with significant fuel burn, it's good practice to verify CG will remain in limits at landing weight. Some aircraft have specific fuel burn procedures to maintain proper CG.
What's the difference between CG and center of lift?
The center of gravity (CG) is where the aircraft's total weight acts, determined by the distribution of mass. The center of lift (also called center of pressure) is where the wing's total lift force acts, which varies with angle of attack. For stable flight, the CG must be forward of the center of lift. The horizontal stabilizer generates a downward force to balance the moment created by this offset. If CG moves too far aft, it approaches or exceeds the center of lift, reducing stability and potentially making the aircraft uncontrollable.
Can I use standard weights for passengers?
The FAA allows standard weights for commercial operations (adults: 190 lbs summer/195 lbs winter, children: 82 lbs) but recommends using actual weights when known for greater accuracy. For Part 91 operations, actual weights are strongly recommended and required if the pilot suspects standard weights would result in inaccurate calculations. Using actual weights is always more accurate and safer. For small aircraft with limited useful load, a few pounds can make the difference between being within or outside limits. Consider using actual weights especially when carrying larger passengers or maximum loads.
What is Basic Empty Weight and how is it determined?
Basic Empty Weight (BEW) is the weight of the aircraft including all permanently installed equipment, unusable fuel, and full operating fluids (oil, hydraulic fluid). It's determined by actually weighing the aircraft on calibrated scales, typically at three points (nose and two main wheels). The most recent weighing is documented in the aircraft's weight and balance report, usually found in the POH or aircraft logbooks. BEW changes whenever equipment is installed or removed, requiring a new weighing. Major alterations like avionics upgrades require updated W&B data.