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A heat source transfers 100 Btu/min to a metal surface for welding. The heated area is...

A heat source transfers 100 Btu/min to a metal surface for welding. The heated area is approximately circular, and the heat intensity decreases with an increasing radius as follows: 50% of the power is transferred within a circle of diameter = 0.2 in, and 75% is transferred within a concentric circle of diameter = 0.5 in. What are the power densities in (a) the 0.2-in diameter inner circle and (b) the 0.4-in diameter ring that lies around the inner circle? (c) Are these power densities sufficient for melting metal?

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ANSWER:-

Given that

A heat source transfers 100 Btu/min

the heat intensity decreases with increasing radius as follows 50% of

the power is transferred within a circle of diameter = 0.2 in and 75% i

transferred within a concentric circle of diameter = 0.5 in

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