A lighthouse beam completes two rotations (4pi radians) every minute. It is loca

Question

A lighthouse beam completes two rotations (4pi radians) every minute.

It is located 1/2 km from a straight coastline. The beam travels along the coastline. With what speed is the spot from the beam traveling along the coastline, when it is 1 km from the lighthouse (x(t))?

So





My textbook says it should be 8pi.

Why is my math wrong?

A lighthouse beam completes two rotations (4pi radians) every minute. It is located 1/2 km from a straight coastline. The beam travels along the coastline. With what speed is the spot from the beam traveling along the coastline, when it is 1 km from the lighthouse (x(t))?

Explanation / Answer

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