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Answer :
Final answer:
The rotational kinetic energy of a flywheel can be calculated using the formula K = 0.5 * I * π², where I is the moment of inertia and π is the angular velocity. In this case, the moment of inertia can be calculated as I = 0.5 * m * r², where m is the mass and r is the radius. Plugging in the given values, the rotational kinetic energy is 1,228,800 J.
Explanation:
The rotational kinetic energy of a flywheel can be calculated using the formula:
K = 0.5 * I * π²
Where K is the rotational kinetic energy, I is the moment of inertia, and π is the angular velocity.
In this case, the moment of inertia can be calculated as I = 0.5 * m * r², where m is the mass and r is the radius.
So, the rotational kinetic energy is:
K = 0.5 * (0.5 * 1500 kg * r²) * (128 rad/s)²
Using the given values, we can calculate the kinetic energy as:
K = 0.5 * (0.5 * 1500 kg * r²) * (128 rad/s)² = 1,228,800 J
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