A savvy physics student has built a prototype to store excess electrical energy as mechanical energy in very large cylinders rotating as high speeds. Her design has a 11.4 x 104 kg steel cylinder that is 3 meters in diameter and 2 meters long. During off peak hours (10:00PM – 6:00AM) she is able to get the cylinders spinning at a max of 3000 rpm. Don’t worry about sig figs. 1)What is the maximum angular speed of the battery in radians per second? 2)What is the average angular acceleration magnitude of the battery in radians per second squared during off peak hours? 3)What is the moment of inertia of the battery?
A savvy physics student has built a prototype to store excess electrical energy as mechanical energy in very large cylinders rotating as high speeds. Her design has a 11.4 x 104 kg steel cylinder that is 3 meters in diameter and 2 meters long. During off peak hours (10:00PM – 6:00AM) she is able to get the cylinders spinning at a max of 3000 rpm. Don’t worry about sig figs.
1)What is the maximum angular speed of the battery in radians per second?
2)What is the average
3)What is the moment of inertia of the battery?
4)What torque is required to spin the battery at its average angular acceleration?
5)What
6)The average household uses 900 Watts of power. How long could the battery power an average household? (assume 100% efficiency)
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