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Question 813804: A mirror for a reflecting telescope has the shape of a (finite) paraboloid of diameter 16 inches and depth 1 inch. How far from the center of the mirror will the incoming light collect?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! the dimensions of a finite circular paraboloid are related by the equation:
f = r^2/4d
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where:
f = focal length, a distance defined by the above equation, measured along the axis of symmetry from the vertex
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r = radius of the circular paraboloid, measured perpendicularly from the axis of symmetry to the rim
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d = depth of the circular paraboloid, the distance along the axis of symmetry from the vertex to the plane of the rim
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r = 16/2 = 8 inches
d = 1 inch
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f = r^2/4d
f = 8^2/4(1)
f = 64/4
f = 16 inches
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