A Frozen Lake:

A common concern for anyone who visits the Dal Lake and wants some fun is : "Is the ice safe enough?". The expert's answer is, well, the ice is never safe enough.

But here we'll adopt a more scientific approach. It is well known that
snowmobiles and ATV’s need at least 5 inches, and cars and light trucks need at least 12 inches of good clear ice.

Here are some stats of the Dal Lake:
1)Total depth (water+ice) in winters: 20ft.
2)Surface temperature: -16*C.
3)Bottom temperature: +4*C.

Assume the thermal conductivity of ice: 2.18 units, and that of water: .58.

So, is the ice safe for snowmobiling? for driving? for both? for none?

6 comments:

  1. love the way you put up questions!

    btw, it is safe for both..(i'm getting the width of ice as 18.75 approx)

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  2. yes both
    Same question was in our HRT-9 also

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  3. lovely question!i think you should rewrite our vm modules to make them more interesting

    -aakash

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  4. Thanks for the compliments.
    The question was a re-phrasing of an interesting one from our worksheet.

    And Sambhav's answer is right.

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  5. 18.752668007883862 the thickness of ice

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