Answer on Question #49084, Physics, Mechanics | Kinematics | Dynamics
Question:
3. A solid disk of radius 0.50 m and a mass of 0.10 kg is moving with a linear or translational velocity of 5.00 m/s. Determine the disk’s:
a. Translational kinetic energy.
b. Rotational kinetic energy if rotating while translating.
Solution:
a) From the formula for the translational kinetic energy we have:
b) By the definition of the rotational kinetic energy we have:
where is the moment of inertia and is the angular velocity.
For the solid disk the moment of inertia is
From the relationship between angular and linear variables we know that . So, from this formula we can find angular velocity:
Then, substituting the moment of inertia and the angular velocity to the formula for the rotational kinetic energy we obtain:
Answer:
a)
b)
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