Kinetic Energy of a flat uniform disk

AI Thread Summary
To find the kinetic energy of a flat uniform disk rolling on its edge, both translational and rotational kinetic energy must be considered. The relevant equations include K = 0.5(I)(ω)^2 for rotational energy and K = 0.5(M)(v)^2 for translational energy. The moment of inertia (I) for a disk is needed, which can be calculated using I = 0.5(M)(r^2). The total kinetic energy is the sum of translational and rotational components, requiring the use of the disk's radius, mass, and velocity. Understanding these concepts is essential for solving the problem effectively.
themilkman
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Homework Statement



A flat, uniform, disk, of radius 1.5 m and mass 10 kg, is rolling on its edge with a translational velocity of 12 m/s.
What is the kinetic energy of the disk?


Homework Equations



not sure which one but I'm guessing it's one of these two:
K = .5(I)(w)^2
K = .5(Icm)(w)^2 + .5(M)(v)^2cm

The Attempt at a Solution



I have absolutely no idea how to even start this problem, any help on what eqn to use and what I is would be extremely helpful
 
Physics news on Phys.org
For a rolling object - the total energy is the kinetic energy of the moving mass PLUS the rotational energy.
 

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