Calculating Coriolis Force: Radius & Magnitude

In summary, the Coriolis force is a fictitious force caused by the Earth's rotation that affects objects in motion over long distances. It is calculated using the formula F = 2mω x v and is directly proportional to the radius of the object's motion. The magnitude of the Coriolis force is maximum at the poles and decreases towards the equator. Real-world applications of calculating Coriolis force include predicting weather patterns, ocean currents, and flight paths, as well as designing structures to account for the Earth's rotation.
  • #1
bill_spenser
1
0
1) what is the radius of the circle as a function of V for the coriolis force?
--- is it R = (1/F)(- 2 m V^2)...am I missing something here please help...

2) Evaluate this radius for object on surface of the Earth at 33 degree north moving at 5 mph. and find the magnitude of Coriolis force as a function of V...

Please help...my finals are coming soon...I don't know how to solve this type of problem...
Thanks
 
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  • #2
Find the equation that tells you the strength of the Coriolis force and set it equal to the centripetal force.
 

1. What is the Coriolis force?

The Coriolis force is a fictitious force that appears to act on objects in motion on a rotating surface. It is caused by the rotation of the Earth and is responsible for the deflection of objects moving over long distances.

2. How is the Coriolis force calculated?

The Coriolis force is calculated using the formula F = 2mω x v, where F is the Coriolis force, m is the mass of the object, ω is the angular velocity of the Earth, and v is the velocity of the object.

3. What is the relationship between radius and Coriolis force?

The Coriolis force is directly proportional to the radius of the object's motion. This means that as the radius increases, the Coriolis force also increases.

4. How does the magnitude of the Coriolis force change with latitude?

The magnitude of the Coriolis force is dependent on the latitude of the object's motion. It is maximum at the poles and decreases as the latitude approaches the equator.

5. What are some real-world applications of calculating Coriolis force?

Calculating Coriolis force is important in understanding and predicting weather patterns, ocean currents, and flight paths of airplanes. It is also used in the design of structures such as tall buildings and bridges to account for the Earth's rotation.

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