There are many scientific bases that we relied on and they were the director for us in our journey of constructing and testing the prototype. To ensure that the prototype is successful and achieves the requirements of the challenge given, there are some relations and calculations that we will need to use. Firstly, The energy calculation: The prototype must be fast in producing energy at least producing 150 Joule in 5 minutes at least. So, To measure the produced energy of the prototype we Followed these calculations. First, we had to measure the power of the prototype by the law = :                                        

 Watt = Volts × Ampere

The Voltage of the Generator was about 7.5 Volt, and The Current intensity was about 0.125 Amp, so the power = 7.5×  0.125 = 0.9375 Watts, the second calculation is to measure the energy, energy is the rate of power and its rule is as in Fig 6: Energy =  power× Time. The power of the generator is equal to 0.9375 watts as we calculated before, and the time that was specified in the design requirements is 5 minutes, so after converting the unit of the time from minutes to seconds by the following calculation: t(in sec) = t(in min)  × 60, so the time will be equal to 300 seconds. After applying the previous magnitudes in the law of energy, the amount of the energy produced equals=0.9375 × 300 = 281.25 Joule, so as shown the energy produced from the prototype in 5 minutes is approximately double the joules mentioned in the design requirements. 

          Secondly, Gear to gear ratio, Imagine that gear is attached to another gear, and the number of teeth of that first gear is double that of the second gear, this difference leads to when the first gear rotates one rotation, the second gear rotates two rotations The first gear in the gearbox was about 70 teeth and the second gear is about 45 gear so the gear ratio is approximately 1.6  this means that for each on rotation in the big gear, The small gear will rotate about 1.6 rotation. This means when the big gear rotates 9 rotations, the small gear will rotate about 14 rotations.

Thirdly, calculating the efficiency: We calculated the efficiency of the prototype by calculating the input by the formula of work, Work= Force × Displacement, we measured the force needed to rotate the door by the spring scale, and the displacement of the opening by the ruler, so work = 2 × 0.72 = 1.44J in one opening, so we divided the total time by the time of the opening to calculate the number of openings, so num. = total time/time of opening=300/1=300 openings, so  total input in the 5 minutes  will be, 1.44× 300 =432 J, and we measured the output by measuring the volt by the avometer and calculated the energy as we said before, so the efficiency = (output/input)×100 =  (281.15/432)×100 = 65.1%

Fourthly, the angular velocity: as expected, there is a relation between the angular velocity and the energy produced, the relation is directly proportional, the angular velocity = Linear velocity / Radius, we calculated the radius with a ruler and it was 0.47m, and the velocity = distance / Time  We opened it in three different angles(45°, 67.5°, 90°) and the distance was (0.4,0.6,0.7)m, the time was (0.5, 0.6, 65) sec. So, the velocities are (0.8, 1, 1.07) m/s, so the angular velocities are (1.7,2.1,2.3)  the volt outputs in 3 are (1.67, 1.73, 1.75)Volt. So, as in Graph 2, there is a direct relation between angular velocity and voltage until the voltage reaches its maximum limit.