Solution: Coldplay Concert Energy Calculation
Step-by-Step Calculation
1. Energy from Kinetic Dance Tiles
Data given:
- Number of tiles: 60
- Power generated per tile: 40 W
- Percentage of attendees using tiles: 15% of 50,000 = 7,500 people
- Time spent on tiles: 1.5 hours = 1.5 × 3600 seconds = 5400 seconds
Formula:
Calculation:
Converting to kWh:
2. Energy from Stationary Bicycles
Data given:
- Number of bicycles: 20
- Power generated per bicycle: 120 W
- Time used: 2.5 hours
Formula:
Calculation:
3. Energy from Solar Panels
Data given:
- Total solar panel area: 200 m²
- Solar irradiance: 700 W/m²
- Sunlight hours: 6 hours
Formula:
Calculation:
4. Energy from Portable Wind Turbines
Data given:
- Number of turbines: 10
- Wind speed: 6 m/s
- Blade radius: 2 m
- Time operating: 3 hours
- Air density:
Formula:
Where
Calculation:
For 10 turbines operating for 3 hours:
5. Energy from Piezoelectric Stage Floor
Data given:
- Stage area: 100 m²
- Power generated per square meter: 50 W
- Percentage of time active: 80%
- Concert duration: 3 hours
Formula:
Calculation:
6. Energy from Hydrogen Fuel Cell
Data given:
- Total energy: 30 kWh
- Efficiency: 50%
Formula:
Calculation:
7. Energy from Thermal Energy of Attendees
Data given:
- Number of attendees: 50,000
- Energy generated per person: 0.1 kWh/hour
- Concert duration: 3 hours
Formula:
Calculation:
8. Energy from Sound Energy Capture
Data given:
- Number of attendees: 50,000
- Energy captured per person: 0.005 kWh/person
Formula:
Calculation:
Total Energy Generated
Summing up all the energy generated:
Comparison with Energy Consumption
Estimated energy consumption: 800 kWh
Total energy generated: 16,176.4 kWh
Conclusion: The concert generates far more energy than it consumes.