SOLUTION: I have no clue how to start off with this problem. Any help would be great.
Dish antennas have a parabolic cross-section. This concentrates signals onto a sensor at the focus of
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Question 1140704: I have no clue how to start off with this problem. Any help would be great.
Dish antennas have a parabolic cross-section. This concentrates signals onto a sensor at the focus of the parabola. A dish antenna is 1 meter wide and 20 centimeters deep. How far from the bottom of this dish should the sensor be positioned?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Draw or sketch parabola with vertex at Origin, and vertex the minimum.
Two points are (0,0) and (1,20) (100, 20) (50, 20).
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Alternately expressed as .
---the rest removed---
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
There are two problems with the solution by tutor @josgarithmetic:
(1) The "1" width is meters; the "20" depth is centimeters. You need to use consistent units. Changing the 1 meter to 100 centimeters, the second point on the parabola would be (100,20) instead of (1,20).
(2) The 100 centimeters is the total width of the parabola; the second point on the parabola is only half that distance from the vertex. The correct second point on the parabola is (50,20).
So now
where p is the distance from the vertex (bottom of the dish) to the focus the sensor). Using the second point (50,20),
ANSWER: The sensor should be placed 125/4 = 31.25 cm from the bottom of the dish.
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