Background: A hot$-$wire anemometer is essentially a fine wire, usually made of platinum, which is heated electrically and inserted into a flowing fluid. The wire temperature, which is a function of the fluid temperature, fluid velocity and the rate of heating, may be determined by measuring its electrical resistance.

A straight cylindrical wire $13mm$ long and $0\mathrm{.}25mm$ in diameter is exposed to a stream of air at $80F$ flowing past the wire at $30\frac{m}{s}.$ What must the rate of energy input be in watts to maintain the wire surface at $580F?$ Neglect radiation as well as heat conduction along the wire.

$($a$)$ Solve the problem assuming that only the following set of data for the physical properties of air is available: PART B AS WELL

$\backslash$table$[[,80F,580F$