Wenn man den Prompt verändert ist die Antwort gar nicht mehr soooo doof. (leider geht bei copy Paste die Formatierung flöten. Im Original waren das noch "schöne" Tabellen)
prompt:
Create a weight & balance sheet for the following trip: EDMA to LDZD, IFR, with a Cirrus SR22 and 2 POB. 70 gal of fuel, and 30kg total luggage.
Antwort:
Here’s a weight and balance sheet for a Cirrus SR22 on a trip from EDMA (Augsburg, Germany) to LDZD (Zadar, Croatia) under IFR conditions, with 2 persons on board (POB), 70 gallons of fuel, and 30 kg of luggage.
We'll calculate the aircraft’s weight based on the following parameters:
### Cirrus SR22 Specifications:
- **Empty weight**: 2,350 lbs (average)
- **Maximum Takeoff Weight (MTOW)**: 3,600 lbs
- **Fuel Capacity**: 92 gallons usable
- **Fuel Weight**: 6 lbs/gallon
- **Pilot & Passenger Average Weight**: 80 kg per person (assuming standard European weight).
### Trip Details:
- **Fuel on board**: 70 gallons
- **Luggage**: 30 kg (66 lbs)
- **People on board**: 2 (approx. 160 kg or 352 lbs total)
### Weight Breakdown:
| Item | Weight (lbs) | Arm (inches) | Moment (inch-lbs) |
|-----------------------|--------------|--------------|-------------------|
| **Empty weight** | 2,350 | 147.0 | 344,450 |
| **Pilot + Passenger** | 352 | 137.0 | 48,224 |
| **Fuel (70 gal)** | 420 | 151.0 | 63,420 |
| **Luggage (30 kg)** | 66 | 180.0 | 11,880 |
| **Total Weight** | 3,188 | - | 467,974 |
### Center of Gravity Calculation:
1. **Total Moment**: 467,974 inch-lbs
2. **Total Weight**: 3,188 lbs
3. **Center of Gravity (CG)**: Moment / Weight = 467,974 / 3,188 = **146.8 inches**
### Interpretation:
- The **total weight of the aircraft** (3,188 lbs) is **below the MTOW** of 3,600 lbs, meaning it is within the allowable limits for takeoff.
- The **Center of Gravity (CG)** is **146.8 inches**, which is within the normal CG range for the Cirrus SR22 (typically around 140-148 inches depending on the model and load).
This setup is safe for flight based on the weight and balance limits of the Cirrus SR22.
