Please help with homework problem. Show all work and calculatons. Thank you. A radiometer is employed to monitor the temperature of manufactured parts $(A_1=10c{m}^2)$ on a conveyor. The radiometer is placed at a

distance of $1\mathrm{.}15m$ from and normal to the manufactured parts. When a part moves to the position normal to the radiometer, the sensor

measures the radiation emitted from the part. In order to prevent thermal burn on people handling the manufactured parts at the end

of the conveyor, the temperature of the parts should be below $45C.$ An array of spray heads is programmed to discharge mist to cool

the parts when the radiometer detects a temperature of $45C$ or higher on a part. If the manufactured parts can be approximated as

blackbody, determine the irradiation on the radiometer that should trigger the spray heads to release cooling mist when the

temperature is not below $45C.$ Take the Stefan$-$Boltzmann constant as $=5\mathrm{.}67{10}^{-8}\frac{W}{m^2}*K^4.$

The irradiation on the radiometer is $4\mathrm{.}946ox\frac{W}{m^2}.$