# A beacon on a lighthouse is one mile from shore, and revolves at 10PI Radians per minute. What is the speed with which the light sweeps across the straight shore as it lights the sand 2 miles from the lighthouse?

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To find the speed with which the light sweeps across the shore, we can use the formula:

Speed = angular speed * radius

Given: Angular speed (ω) = 10π radians/minute Radius (r) = 1 mile (distance from the beacon to the shore)

Using the formula, we can calculate the speed: Speed = 10π * 1 = 10π miles/minute

So, the speed with which the light sweeps across the straight shore as it lights the sand 2 miles from the lighthouse is 10π miles per minute.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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