Aspherical satelite orbiting Earth is lighted on one side by the sun with intensity 340W/m^2 . If the radius of the satelite is 1m. what power is incident upon it?


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Question Number 132195 by aurpeyz last updated on 12/Feb/21

$A s p h e r i c a l s a t e l i t e o r b i t i n g E a r t h i s$ $l i g h t e d o n o n e s i d e b y t h e s u n w i t h i n t e n s i t y$ $340 W / m^{2} . I f t h e r a d i u s o f t h e$ $s a t e l i t e i s 1 m . w h a t p o w e r i s$ $i n c i d e n t u p o n i t ?$
	Answered by ajfour last updated on 12/Feb/21

	$P_{i n c i d e n t} = I_{i n c i d e n t} (A_{p r o j e c t e d})$ $P_{i n} = (\frac{340 W}{m^{2}}) [π {(1 m)}^{2}]$ $P_{i n} = 340 π W \approx 1068.1415 W$
	Commented by aurpeyz last updated on 12/Feb/21

	$A r e a o f s p h e r e i s s u p p o s e d t o b e$ $4 π r^{2} ?$
	Commented by ajfour last updated on 12/Feb/21

	$b u t p r o j e c t e d a r e a o f t h e$ $s p h e r e i s t h a t o f a d i s c o f$ $t h e s a m e r a d i u s, a n d p o w e r$ $r e c e i v e d b y s p h e r e i s e q u a l t o$ $t h e p o w e r r e c e i v e d b y t h e d i s c .$
	Commented by aurpeyz last updated on 12/Feb/21

	$t h a n k y o u S i r . y o u r e c o r r e c t$
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