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28 May, 01:36

A particular planet has a moment of inertia of 8.26 * 10^ (36) kg⋅m^2 and a mass of 6.54 * 10^22 kg. Based on these values, what is the planet's radius? Hint: Because planets are the shape of a sphere, the moment of inertia is I = (2/5) mr^2.

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  1. 28 May, 03:52
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    Answer: 1.776933x10^7

    Explanation:

    Moment of inertia I = 8.26x10^36kgm^2

    Mass of planet m = 6.54x10^22kg

    Also, Planet is solid sphere so that, Moment of inertia is I = _2_ m

    R^2 = 0.4 R^2 5

    Where R is radius of planet

    Putting into calculation

    We get,

    I = _2_ m R^2

    5

    8.26x10^36 = 0.4x6.54x10^22xR^2

    8.26x10^14 = 2.616 R^2

    R = 1.776933x10^7
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