How do you calculate the exit velocity in aerodynamics?

In summary, aerodynamics exit velocity, also known as terminal velocity, is the maximum speed that an object can reach when falling through a fluid. It is calculated using the equation V = √(2mg/ρACd) and is affected by factors such as mass, size, density, and drag coefficient. Understanding aerodynamics exit velocity is crucial in the design and engineering of objects and can also aid in predicting natural phenomena.
  • #1
freedevil
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Homework Statement



Given: Inlet area = 23 ft², Inlet velocity = 107 ft/sec, Exit area = 12 ft². Find exit velocity

The Attempt at a Solution



I am having a hard time solving this. Can someone explain how to do this? Thanks
 
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  • #2
solved!

Mach number = 107/1116 = 0.0959
This is less than 0.3 so the flow is incompressible

(volumetric flow)in = (volumetric flow)out
(velocity)in x (Cross-sectional Area)in = (velocity)out x (Cross-sectional Area)out
107 x 23 = (velocity)out x 12
(velocity)out = 205 ft/s
 

FAQ: How do you calculate the exit velocity in aerodynamics?

What is aerodynamics exit velocity?

Aerodynamics exit velocity, also known as terminal velocity, is the maximum speed that an object can reach when falling through a fluid, such as air. It is the point at which the drag force of the fluid is equal to the force of gravity pulling the object down.

How is aerodynamics exit velocity calculated?

Aerodynamics exit velocity is calculated using the equation V = √(2mg/ρACd), where V is the exit velocity, m is the mass of the object, g is the acceleration due to gravity, ρ is the density of the fluid, A is the cross-sectional area of the object, and Cd is the drag coefficient.

What factors affect aerodynamics exit velocity?

The factors that affect aerodynamics exit velocity include the mass and size of the object, the density of the fluid, and the drag coefficient of the object. Other factors such as air temperature and altitude can also have an impact.

How does aerodynamics exit velocity impact the flight of an object?

Aerodynamics exit velocity is an important factor in the flight of an object. It determines the maximum speed at which an object can travel through a fluid, which in turn affects its trajectory and stability. Objects with a higher exit velocity will have a longer and more stable flight.

What are some real-world applications of understanding aerodynamics exit velocity?

Understanding aerodynamics exit velocity is crucial in the design and engineering of various objects, such as airplanes, rockets, and parachutes. It is also important in sports, such as skydiving and bobsledding, where knowing the exit velocity can help athletes improve their performance and safety. Additionally, understanding aerodynamics exit velocity can also aid in predicting the behavior of objects in natural phenomena, such as the falling speed of raindrops or the flight of seeds in the wind.

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