Searchlightwide beam A revolving searchlight, which is 100

Chapter 3, Problem 54

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Searchlightwide beam A revolving searchlight, which is 100 m from the nearest point on a straight highway, casts a horizontal beam along a highway (see figure). The beam leaves the spotlight at an angle of p>16 rad and revolves at a rate of p>6 rad>s. Let w be the width of the beam as it sweeps along the highway and u be the angle that the center of the beam makes with the perpendicular to the highway. What is the rate of change of w when u = p>3? Neglect the height of the searchlight. 100 m w _ is the angle between the center of the beam and the line perpendicular to the highway. _ 16 rad _

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