A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is 48 feet across at its opening and 4 feet deep at its center, where should the receiver be placed

Question

Physics

Queen Bee

19 December, 02:43

A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is 48 feet across at its opening and 4 feet deep at its center, where should the receiver be placed

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Skyla Kirby · Answer 1

Given dish width = 48ft

Depth = 4ft

Using equation of a parabola

x² = 4py

48² = 4p 4

4p = 576

P = 144ft

Thus the the receiver should be placed 144ft from t the vertex