a lighthouse is located on a small island 5 km away from the nearest point p on a straight shoreline and its light makes seven revolutions per minute. how fast (in km/min) is the beam of light moving along the shoreline when it is 1 km from p? (round your answer to one decimal place.)

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21-10-2022
Physics

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a lighthouse is located on a small island 5 km away from the nearest point p on a straight shoreline and its light makes seven revolutions per minute. how fast (in km/min) is the beam of light moving along the shoreline when it is 1 km from p? (round your answer to one decimal place.)

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Qwsquare Qwsquare · Answer 1 · 2022-10-26T22:03:46+02:00

188.4 km/min is the beam of light moving along the shoreline.

The lighthouse is 5 km far away from the nearest Point P on a straight shoreline. This is often radius of the encirclement of the beam of light moving at 7 rpm.

At 7 rpm, One Circumference of the sunshine takes 70/7 = 10 seconds 2πr is= 2.π.5 km in 10 seconds or

In one second the beam covers 10π/10 = π km or 3.14 km/s.

Now, if the purpose P is 1 km away from the lighthouse, the Radius is reduced to 1 from 5 km,

Consequently The Angular displacement would remain the identical but the speed would be slower for one circumference i.e. 2πr in 10 seconds.

Or one second= (2π.1)/10

= .628π km

= π/10

= 3.14 km/s

By converting km/s into km/min

The answer will be = 188.4 km/min.

188.4 km/min fast (in km/min) is the beam of light moving along the shoreline when it is 1 km from point P.

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