The reflective property of an ellipse is the principle behind "whispering galleries." These are rooms with elliptically shaped ceilings such that a person standing at one focus can hear even the slightest whisper spoken by another person standing at the other focus. Suppose that a dome has a semielliptical ceiling, 96 ft long and 23 ft high. Choose a coordinate system so that the center of the semiellipse is (0, 0) with vertices (-48, 0) and (48, 0) and with the top of the ceiling at (0, 23). t(0, 23) (-48, 0) (0, 0) |(48, 0) Approximately how far from the center along the major axis should each person be standing to hear the "whispering" effect? Round to 1 decimal place.
The reflective property of an ellipse is the principle behind "whispering galleries." These are rooms with elliptically shaped ceilings such that a person standing at one focus can hear even the slightest whisper spoken by another person standing at the other focus. Suppose that a dome has a semielliptical ceiling, 96 ft long and 23 ft high. Choose a coordinate system so that the center of the semiellipse is (0, 0) with vertices (-48, 0) and (48, 0) and with the top of the ceiling at (0, 23). t(0, 23) (-48, 0) (0, 0) |(48, 0) Approximately how far from the center along the major axis should each person be standing to hear the "whispering" effect? Round to 1 decimal place.
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter27: Wave Optics
Section: Chapter Questions
Problem 27CQ: An inventor notices that a soap bubble is dark at its thinnest and realizes that destructive...
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