How is Coriolis Acceleration Calculated for an Eastward Airplane at 30° North?

In summary, the Coriolis force is a fictitious force caused by the rotation of the Earth that affects objects in motion by causing them to deviate from a straight path. It can be calculated using the formula: a = -2Ω x v and is important in meteorology, oceanography, and sports. It affects the direction of objects differently in the Northern and Southern hemispheres and has many real-world applications such as weather forecasting and navigation.
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Homework Statement



An airplane is flying due east along the 30 degree north latitude circle at 800 km/hr. Determine the magnitude and direction of the Coriolis acceleration acting on it. If the Coriolis acceleration is not compensated for, how far off course will the airplane be after one hour (assuming the plane is traveling east instant-by-instant, and maintains a constant altitude)?

Homework Equations



Right Hand Rule

The Attempt at a Solution



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FAQ: How is Coriolis Acceleration Calculated for an Eastward Airplane at 30° North?

What is the Coriolis force and how does it affect objects?

The Coriolis force is a fictitious force that acts on objects in motion due to the rotation of the Earth. It causes objects to appear to deviate from a straight path and is responsible for the rotation of hurricanes and the direction of ocean currents.

How do you calculate the Coriolis acceleration?

The Coriolis acceleration can be calculated using the formula: a = -2Ω x v, where Ω is the angular velocity of the Earth and v is the velocity of the object. This formula takes into account the direction and magnitude of the force.

Can the Coriolis force be applied to any situation?

Yes, the Coriolis force can be applied to any situation where an object is in motion on or near the surface of the Earth. It is especially important in meteorology and oceanography, but can also be seen in sports, such as the rotation of a football or the spin of a figure skater.

How does the Coriolis force affect the direction of objects in the Northern and Southern hemispheres?

In the Northern Hemisphere, the Coriolis force causes objects to appear to veer to the right of their intended path, while in the Southern Hemisphere, objects appear to veer to the left. This is due to the direction of the Earth's rotation and the orientation of the force.

Are there any real-world applications of the Coriolis force?

Yes, the Coriolis force has many real-world applications, including weather forecasting, navigation of ships and planes, and the design of structures, such as bridges and skyscrapers. It is also important in understanding the Earth's climate and the movement of ocean currents.

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