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5 March, 06:35

A potter's wheel, with rotational inertia 49 kg·m2, is spinning freely at 40 rpm. The potter drops a lump of clay onto the wheel, where it sticks a distance 1.2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm what is the mass of the clay?

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  1. 5 March, 08:29
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    8.5 kg

    Explanation:

    Angular momentum is conserved.

    I₁ ω₁ = I₂ ω₂

    I ω₀ = (I + mr²) ω

    (49 kg m²) (40 rpm) = (49 kg m² + m (1.2 m) ²) (32 rpm)

    61.25 kg m² = 49 kg m² + (1.44 m²) m

    m = 8.5 kg

    The mass of the clay is 8.5 kg.
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