Solution: Coldplay Concert Energy Calculation

Step-by-Step Calculation

1. Energy from Kinetic Dance Tiles

Data given:

Formula:

E=P×t×number of tiles

Calculation:

E=40W×5400seconds×60=12,960,000Joules

Converting to kWh:

E=12,960,0003,600,000=3.6kWh

2. Energy from Stationary Bicycles

Data given:

Formula:

E=P×t×number of bicycles

Calculation:

E=120W×2.5hours×20=6,000Wh=6kWh

3. Energy from Solar Panels

Data given:

Formula:

E=Area×Irradiance×t

Calculation:

E=200m2×700W/m2×6hours=840,000Wh=840kWh

4. Energy from Portable Wind Turbines

Data given:

Formula:

P=0.5×ρ×A×v3

Where A=π×r2

Calculation:

A=π×(2)2=12.57m2

P=0.5×1.225×12.57×(6)3=1,660.3W/turbine

For 10 turbines operating for 3 hours:

E=1,660.3×10×3=49,809Wh=49.8kWh

5. Energy from Piezoelectric Stage Floor

Data given:

Formula:

E=P×Area×active time

Calculation:

E=50W/m2×100m2×0.8×3hours=12,000Wh=12kWh

6. Energy from Hydrogen Fuel Cell

Data given:

Formula:

E=30×0.5kWh

Calculation:

E=15kWh

7. Energy from Thermal Energy of Attendees

Data given:

Formula:

E=attendees×0.1kWh/person/hour×time

Calculation:

E=50,000×0.1×3=15,000kWh

8. Energy from Sound Energy Capture

Data given:

Formula:

E=0.005kWh/person×attendees

Calculation:

E=0.005×50,000=250kWh

Total Energy Generated

Summing up all the energy generated:

Etotal=3.6+6+840+49.8+12+15+15,000+250=16,176.4kWh

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.