If really low pressure, such as from Tropical Storm Isaac can cause problems, what about really high pressure?
We often do find very high winds with very low pressure. However, the key isn't the actual air pressure...but how much it changes over distance! The bigger that distance, or gradient, the stronger the winds will be with either high or low pressure. Think of that pressure difference to be like the slope of a hill. If you ride your bike down a small hill with a gradual slope...you won't go very fast. Try that on a steep hill...you'll fly!
