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The sun delivers about 1.4kW m^(-2) of e...

The sun delivers about `1.4kW m^(-2)` of electromagnetic flux to the earth's surface. Calculate
A. the total power incident on a roof of dimensions `8mxx20`m.
B. the solar energy in joules incident on the roof in 1h.
C.the radiation pressure and force assuming the roof to be a perfect absorber.

Text Solution

Verified by Experts

A. As enegy flux `I=[E/((Sxxt))]=[(P)/(S)]`
`P=IxxS=(.14xx10^(3))xx(8xx20)`
`=2.24xx10W=224kW`
B. As power `P=((E)/(t))`
`E=Pxxt=(2.24xx10^(5))xx(60xx60)`
`8.064xx10^(8)=806.4MJ`
C. For perfectly absorbing surface radiation pressure,
`P=(I)/(c)=(1.4xx10^(3))/(3xx10^(8))=4.7xx10^(-6)Nm^(-2)`
and as
`P=((F)/(S))`,
`impliesPxxS=4.7xx10^(6)xx(8xx20)`
`=7.52xx10^(-4)`N
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