# Problem: You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be a uniform disk with radius 31.0  cm . Starting from rest at t = 0, the flywheel rotates with constant angular acceleration 3.00 rad/s2 about an axis perpendicular to the flywheel at its center. If the flywheel has a density (mass per unit volume) of 8600 kg/m3, what thickness must it have to store 800 J of kinetic energy at t = 8.00 s?

###### Problem Details

You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be a uniform disk with radius 31.0  cm . Starting from rest at t = 0, the flywheel rotates with constant angular acceleration 3.00 rad/s2 about an axis perpendicular to the flywheel at its center. If the flywheel has a density (mass per unit volume) of 8600 kg/m3, what thickness must it have to store 800 J of kinetic energy at t = 8.00 s?

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Our tutors have indicated that to solve this problem you will need to apply the Intro to Rotational Kinetic Energy concept. You can view video lessons to learn Intro to Rotational Kinetic Energy. Or if you need more Intro to Rotational Kinetic Energy practice, you can also practice Intro to Rotational Kinetic Energy practice problems.

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Based on our data, we think this problem is relevant for Professor Graham's class at STANFORD.