Fulcrum Weight and Balance Calculator
Here's a comprehensive table summarizing the key aspects of fulcrum, weight, and balance:
| Concept | Description |
|---|---|
| Fulcrum | The pivot point around which a lever rotates. |
| Center of Gravity (CG) | The point where the average force is applied, representing the balance point of an object5. |
| Moment | The product of weight and distance from the fulcrum (M = F x d). |
| Equilibrium | When a balance is level and neither end is being held up. |
| Lever Classes | Class I: Fulcrum between load and effort Class II: Load between fulcrum and effort Class III: Effort between fulcrum and load |
| Mechanical Advantage | The ratio of output force to input force (MA = Fr / Fe). |
| Weight Shift Formula | ΔCG = (Weight moved × Distance moved) / Total weight |
| Basic Empty Weight | The weight of the aircraft with no usable fuel or payload. |
| Maximum Takeoff Weight | The maximum allowable weight for takeoff. |
| Useful Load | The weight of crew, passengers, baggage, cargo, and usable fuel. |
| Moment Calculation | Moment = Weight × Arm (distance from datum). |
| CG Limits | The range within which an aircraft's CG must fall for safe operation. |
Key Points to Remember
- The fulcrum is crucial in determining the balance and mechanical advantage of a lever system.
- Weight and balance calculations are essential for aircraft safety and performance.
- The center of gravity must be within specified limits for proper aircraft control.
- Moment calculations help determine the CG position.
- Different lever classes have different fulcrum positions relative to the load and effort.
By understanding these concepts, you can effectively manage weight distribution and balance in various applications, from simple machines to complex aircraft systems.