You're the operator of a 15,000 V rms, 60 Hz electrical substation. When you get to work one day, you see that the station is delivering 6.00 MW of power with a power factor of 0.920. 1. What is the rms current leaving the station?
2. How much series capacitance should you add to bring the power factor up to 1.0?
3. How much power will the station then be delivering?

1000 kgm²/s, 400 J

1000 kgm²/s, 1000 J

600 J

Explanation:

m = Mass of astronauts = 100 kg

d = Diameter

r = Radius =

v = Velocity of astronauts = 2 m/s

Angular momentum of the system is given by

The angular momentum of the system is 1000 kgm²/s

Rotational energy is given by

The rotational energy of the system is 400 J

There no external toque present so the initial and final angular momentum will be equal to the initial angular momentum 1000 kgm²/s

Energy

The new energy will be 1000 J

Work done will be the change in the kinetic energy

The work done is 600 J