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15 July, 06:54

A Sense of Proportion: Saturn is about 60,000 km in radius, and its rings are only about 0.01 km thick with ripples 100m high. Design a really big model with Saturn 60 inches in radius (10 feet in diameter). How thick must the rings be in your model and how high can the ripples be

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  1. 15 July, 10:29
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    The thickness of ring in model is 0.00001 inch and the height of ring is 0.0001 inch.

    Explanation:

    The radius of Saturn = 60000 km

    The thickness of rings = 0.01 km

    The height of ring ripples = 100 m or 0.1 km

    Now design a new model with a radius of 60 inches.

    Therefore, the radius of Saturn (600000 km) = radius of the model (60 inches)

    Here, one inch of the model will be equal to 1000 km of Saturn.

    1 km of Saturn = 0.001 inch of model

    Thickness of ring = 0.01 km

    Therefore, thickness of ring in model = 0.01 x 0.001 = 0.00001 inch

    The height of Saturn ring = 0.1 km

    Therefore, the height of ring in model = 0.1 x 0.001 = 0.0001 inch.
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