A rotating beacon is located 3 miles out in the water. Let A be the point on the shore that is closest to the beacon. As the beacon rotates at 10 rev/min, the beam of light sweeps down the shore once each time it revolves. Assume that the shore is straight. How fast (in miles/min) is the point where the beam hits the shore moving at an instant when the beam is lighting up a point 3 miles along the shore from the point A? Hint: consider converting the rotation to radians/min. Note: Round to the nearest hundredth.

A rotating beacon is located 3 miles out in the water. Let A be the point on the shore that is closest to the beacon. As the beacon rotates at 10 rev/min, the beam of light sweeps down the shore once each time it revolves. Assume that the shore is straight. How fast (in miles/min) is the point where the beam hits the shore moving at an instant when the beam is lighting up a point 3 miles along the shore from the point A? Hint: consider converting the rotation to radians/min. Note: Round to the nearest hundredth.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 39P

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