Velocity and Vorticity of a Tornado Calculation

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SUMMARY

The discussion centers on calculating the velocity of a tornado at ground level, given its dimensions and vorticity. The tornado has a diameter of 0.9 km, leading to a radius (r) of 0.45 km. The vorticity is specified as 9 rad/s at an altitude of 0.8 km. The circumference at ground level is calculated using the formula 2πr, resulting in a value of 95 m, which is essential for determining the velocity.

PREREQUISITES
  • Understanding of basic geometry, specifically the circumference of a circle
  • Familiarity with the concept of vorticity in fluid dynamics
  • Knowledge of the relationship between vorticity and velocity in rotational motion
  • Ability to perform calculations involving radians and circular motion
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  • Study the equations relating vorticity and velocity in fluid dynamics
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Homework Statement



A tornado:

of d = 2r = 0.9 km

r = radius

vortic ity 9 rad/s at altitude 0.8 km

What is the velocity at ground level given 2*pi*r = 95 m at that level.

If someone could just guide me on what the relevant equations are. I am revisiting the background material but any insight is appreciated.
 
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Do you know how to find the circumference of a circle or radius r?
 
HallsofIvy said:
Do you know how to find the circumference of a circle or radius r?

Yes.
 

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