1. Math with MacGuyver!

2. Data Sheet Inputs As each team conducts its testing, record:
The distance the cup is lifted
The radius of the windmill’s swept area
The number of nuts lifted
The time it takes to lift
Now you can calculate:
The total mass
The swept area
1 nut = 6.8 g

3. Calculations
Energy
The work done to produce power over a period of time
Units: Joule = kg m2 s2 = N m
1 joule is the amount of energy required to move 1 kilogram 1 meter at a rate of 1 m/s2
Energy = mass (kg) x acceleration of gravity (m/s2) x height (m)

4. Calculations
Power
The rate at which work is performed, or the rate at which energy is produced or consumed
Units: Watt = J s
1 Watt is the power required to do 1 joule of work for 1 second
Power = energy (J) time (s)

5. Calculations Power in the wind P (W) = ½ ρ A V3
ρ = air density = 0.95 kg/m3 at 7000 ft
A = swept area
V = wind velocity of the fan

6. Calculations Windmill Efficiency
A comparison between the theoretical power available in the wind and the actual power output of the windmill
Efficiency (%) =( Power output of the windmill (W) Power in the wind (W) ) 100%

7. Evaluation Which team’s windmill was most efficient? Losses?
Due to high mass? Short time?
Why did their windmill work well?
Losses?