A classical mechanics problem by puneet mangla

Classical Mechanics Level pending

A spherical source of surface temperature \(150^\circ C\) is emitting heat radiations at a constant rate of \(48\pi \text{ J/s} \). The conductivity of air is 1/30. Find the minimum distance in meter from the center of sphere from which a person can feel comfortable. The radius of the sphere is 2 m.

Details and Assumptions:

  • A person is comfortable only in surrounding temperature i.e \(30^\circ C\).

  • Assume steady state.

  • Assuming the expansion of air to be negligible.


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