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## Consider a 40,000 km steel pipe in the shape of a ring that fits snuggly all around the circumference of the Earth. We are heating now the r

Question

Consider a 40,000 km steel pipe in the shape of a ring that fits snuggly all around the circumference of the Earth. We are heating now the ring so its temperature increased by 1 degree C. Now, the pipe will no longer be snug. How high the ring will now stand above ground level? (Make as many simplifications as necessary). Data: Coefficient of linear expansion for steel is 11*10-6 /degree C. This means, for example, that a 1-meter bar of steel that increases its temperature by 1 degree C will expand 11*10-6 meters (11 micrometers)

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Physics
6 months
2021-08-25T12:22:18+00:00
2021-08-25T12:22:18+00:00 1 Answers
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## Answers ( )

Answer:The Height is H = 70.02 m

Explanation:We are given that the

Initial length is = =

from what we are told in the question the circumference of the circle is =

This means that the Radius would be :

Let C denote the circumference

So

=>

We are told that 1-meter bar of steel that increases its temperature by 1 degree C will expand meters

Hence

The final length would be

Where T is the change in temperature is the Coefficient of linear expansion for steel

let denote the final length

So

Now the Height is mathematically represented as