Suppose a disk with constant angular velocity has rotational kinetic energy 1280 J. If the moment of inertia of the disk is 35 k g-m^2, then what is its angular velocity? (a) 7.604 rad/s (b) 8.552 rad/s (c) 10.12 rad/s (d) 6.818 rad/s (e) 9.952 rad/s (f) 8.935 rad/s f
1 answer:
Answer:
Angular velocity of the disk is 8.552 rad/s
Explanation:
It is given that,
Rotational kinetic energy, KE = 1280 J
The moment of inertia of the disk, I = 35 kg m²
We have to find the angular velocity of the disk. In rotational mechanics the kinetic energy of the disk is given by :
Hence, the angular velocity of the disk is 8.552 rad/s.
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