With Knowledge Comes Authority and Responsibility. True?

With knowledge comes authority and responsibility, or so says my teacher in Critical Thinking. He uses the example of being at a family function and many of the kids were in the pool or the hot tub. A thunderstorm started. He knows that lightning can strike within 25 miles of the storm center and that lightning can travel through water. He yelled at the kids to get out of the water.

I see his point. He knew that the kids were in danger and they were, apparently, not aware. His knowledge compelled him to act. But how far does this go?

I got a good grade on a grammar test. I have good knowledge of grammar. Does this mean I should correct every grammatical error I hear or see? Soon, no one would want to be near me!

Would my teacher have been compelled to act if they had been adults? What if they were adults that said "We are aware of the danger but choose to stay here."

Is there really such responsibility and authority? If so, what are its limits?

At this point I doubt that knowledge does carry such authority, but I cannot make a good case, just a lot of examples. I would appreciate any thoughts on the matter.