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)

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

the answer is a. at the equator

80cm/s.

24cm/s.

53.3cm/s.