A lighthouse is located on a small island

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 is the beam of light moving along the shoreline when it is 1 km from ?

[@Bryan1483]

how is this instructor not well known? This made so much sense.

[@AKASHKUMAR-bf7co]

Actually it's a quite simple . But its language is tougher than problem.

[@Tom_Cruise]

I started this for fun, but now it got me curious. In physics, I was taught that speed = angular velocity * radius in a circular movement. Assuming the light on the wall can be represented by a circular motion with varying radii, I can make a function v(y) = w * sqrt(x^2 + y^2). With w (angular velocity) being 8pi/min, and x being fixed at 3km, we obtain v(y) = 8pi * sqrt(9 + y^2). Substituting 1 for y brings us v(1) = 8*sqrt(10)*pi. I wonder why this seemingly physically correct approach has a different result than yours. Any clues?

[@cordelldev]

Thank you for this explanation, I can finally sleep now!

[@aditiseetharaman1567]

HI THANKS

[@루-q6g]

Thank you i can't understand this problem. You are very good teacher

[@sophiesol2264]

Bust Down!! Love it man!!! Appreciate the HELP!! Peace and Tekerz!!

[@onedeaa]

These questions are from which platform?

[@interxsted]

whatttt you made this seem so easy! thank you so much

[@cassidywong8884]

Thank you so much

[@yipyiphooray339]

Thank you so much!

[@zyphonwhite3488]

Thank you

[@charliewilson3234]

Love it.