ABE TUTORIALS

PROBLEM 17:

WHAT IS THE MINIMUM THEORETICAL VIABLE WIND POWER FOR THE WINDMILL WITH 10 M² AREA, AND A WIND VELOCITY OF 10 M/SEC? THE AIR DENSITY IS 1.225 KG/M³.

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Select the minimum theoretical wind power:

a. 612.5 wtts | b. 8.2 hp | c. 6125 kW | d. 12.25 kW | e. nota

View Solution

Step 1: Use the Theoretical Wind Power Formula.
Power (P) = 0.5 × ρ × A × V³
Where:
ρ (Air Density) = 1.225 kg/m³
A (Area) = 10 m²
V (Velocity) = 10 m/s

Step 2: Calculate.
P = 0.5 × 1.225 × 10 × (10³)
P = 0.5 × 1.225 × 10 × 1000
P = 6.125 × 1000 = 6,125 Watts

Step 3: Unit Verification.
6,125 Watts is equivalent to 6.125 kW.
Note: Option (a) says 612.5 watts and (c) says 6125 kW. Since the calculated value is 6.125 kW or 6125 Watts, neither matches perfectly in units.

Result: e. nota