You are designing a rotating metal flywheel that will be used to store energy. the flywheel is to be a uniform disk with radius 23.0 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?

We have that for the Question, it can be said that  thickness must it have to store 800 J of kinetic energy at t = 8.00 s

h=0.0735m

From the question we are told

Generally the equation for the   is mathematically given as

Therefore

h=0.0735m

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t = 0.0735 m

Explanation:

Angular acceleration of the flywheel is given as

now after t = 8 s the speed of the flywheel is given as

now rotational kinetic energy of the wheel is given as

now we have

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.