The mass of the uniform disc at the given moment of inertia is determined as 16.67 kg.
Conservation of angular momentum
The mass of the uniform disc is calculated from the moment of inertia of the disc.
I = ¹/₂mr²
2I = mr²
m = (2I)/r²
where;
- m is mass of the disc
- I is moment of inertia
- r is radius of the disc
m = (2 x 75)/(3²)
m = 16.67 kg
Thus, the mass of the uniform disc at the given moment of inertia is determined as 16.67 kg.
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