a lighthouse is located on a small island 3 km away from the nearest point p on a straight shoreline and its light makes four revolutions per minute. how fast (in km/min) is the beam of light moving along the shoreline when it is 1 km from p?

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thunderbolt4046 thunderbolt4046

21-10-2022
Physics

contestada

a lighthouse is located on a small island 3 km away from the nearest point p on a straight shoreline and its light makes four revolutions per minute. how fast (in km/min) is the beam of light moving along the shoreline when it is 1 km from p?

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fawadmohd fawadmohd · Answer 1 · 2022-10-25T09:12:23+02:00

A lighthouse is located on a small island 3 km away from the nearest point p on a straight shoreline is the beam of light moving along the shoreline when it is 1 km from p is 83.78 km/min

3*10/9*8pi = dx/dt

80pi/3 = dx/dt

dx/dt = 83.78 km/min

Thus, the beam of light is sweeping along the shore at the rate of 83.78 km/min when the beam is 1 km from the point P and light makes four revolutions per minute.

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