What happens to pressure as the velocity of a fluid or gas increases, based on Bernoulli's Principle?

According to Bernoulli's Principle, as the velocity of a fluid or gas increases, the pressure within the fluid or gas decreases. This principle arises from the conservation of energy and describes the behavior of moving fluids. In a streamline flow, the total mechanical energy (which includes kinetic energy due to velocity and potential energy due to pressure) remains constant.

When the velocity of the fluid or gas increases, it implies that more energy is being converted into kinetic energy. Since the total energy must remain constant, this increase in kinetic energy results in a corresponding decrease in static pressure. This relationship is often illustrated using the formula from Bernoulli's equation, which shows that when the speed of the fluid increases, the term related to pressure must decrease to maintain the balance of energy.

Thus, in accordance with Bernoulli's Principle, as the velocity increases, the pressure decreases, confirming that the correct answer to the question is that pressure decreases with an increase in velocity.