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In fluid mechanics, dynamic pressure is the pressure exerted by a fluid in motion, while static pressure is the pressure exerted by a fluid at rest. The relationship between dynamic and static pressure is described by the Bernoulli's equation, which states that the total pressure in a fluid system is the sum of dynamic and static pressure. As the fluid velocity increases, dynamic pressure increases while static pressure decreases, and vice versa.

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Q: What is the relationship between dynamic and static pressure in fluid mechanics?
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What is the relationship between static and dynamic pressure in fluid mechanics?

In fluid mechanics, static pressure is the pressure exerted by a fluid at rest, while dynamic pressure is the pressure exerted by a fluid in motion. The relationship between static and dynamic pressure is described by the Bernoulli's principle, which states that the total pressure in a fluid system is constant along a streamline. This means that as the dynamic pressure increases, the static pressure decreases, and vice versa.


What is the relationship between static pressure and dynamic pressure in fluid mechanics?

In fluid mechanics, static pressure is the pressure exerted by a fluid at rest, while dynamic pressure is the pressure exerted by a fluid in motion. The relationship between static pressure and dynamic pressure is described by the Bernoulli's equation, which states that the total pressure in a fluid system is the sum of the static pressure and the dynamic pressure. As fluid velocity increases, dynamic pressure increases and static pressure decreases, and vice versa.


What is the difference between dynamic and static pressure in fluid mechanics?

Dynamic pressure in fluid mechanics refers to the pressure exerted by a fluid in motion, while static pressure refers to the pressure exerted by a fluid at rest. Dynamic pressure is related to the velocity of the fluid, while static pressure is related to the depth or height of the fluid.


What is the difference between static and dynamic pressure in fluid mechanics?

In fluid mechanics, static pressure is the pressure exerted by a fluid when it is not in motion, while dynamic pressure is the pressure exerted by a fluid when it is in motion. Static pressure is the same in all directions at a given point in a fluid, while dynamic pressure is related to the velocity of the fluid.


What is the relationship between the constant velocity v and the rate of change of pressure with respect to time, dp/dt, in a dynamic system?

In a dynamic system, the relationship between the constant velocity v and the rate of change of pressure with respect to time, dp/dt, is described by the equation dp/dt v dV/dt, where is the density of the fluid and dV/dt is the rate of change of volume with respect to time. This equation shows how changes in velocity can affect the rate of change of pressure in a dynamic system.