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. 4)What torque is required to spin the battery at its average angular acceleration? 5)What angular momentum will the battery have at its maximum speed? 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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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.

4)What torque is required to spin the battery at its average angular acceleration?

5)What angular momentum will the battery have at its maximum speed?

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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