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Sagot :
Answer:
Explanation:
Moment of inertia of the turntable I = 1/2 m R²
= 0.5 x 32 x 2.4²
= 92.16 kg m²
Moment of inertia of the turntable along with clamp of clay
= 1 /2 M R² + m r² where M and m are mass of turntable and clump of clay and R is radius of turntable , r is distance of clay from the axis of rotation .
= 0.5 x 32 x 2.4² + 13 x 1.7²
= 92.16 kg m² + 37.57 kg m²
= 129.73 kg m².
Apply law of conservation of angular momentum
I₁ ω₁ =I₂ω₂
I₁ =92.16 kg m² ω₁ = 10 rad/s I₂ = 129.73 kg m²; ω₂ = ?
92.16 kg m² x 10 rad/s = 129.73 kg m² x ω₂
ω₂ = 7.10 rad /s .
the angular speed of the clay and turntable = 7.10 rad /s .
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