Coriolis forse and cylindrical co-ordinates

In cylindrical coordinate system, if we calculate acceleration, we can determine the Coriolis and centripetal forces completely.However, there seems to be some confusion because you do not understand how computing acceleration in a cylindrical system can give us information about the Coriolis force. This is because the Coriolis force involves the velocity of the object with respect to the rotating frame, and is independent of the frame whose acceleration we are computing with the cylindrical coordinate system. In simpler terms, the acceleration of the rotating frame is purely centripetal and does not account for the Coriolis force.
  • #1
mritunjay
18
0
Pseudo forses arising in a frame are defined as the negative of mass times acceleration of the frame used. now in cylindrical coordinate system if we compute acceleration, we should be able to know completely the corilis and centripetel forses.
However my problem is I don't understand how can we know coriolis forse by computing acceleration in cylindrical system since it (coriolis forse) involves velocity of the object, w.r.t. the rotating frame, and is independent of the frame whose acceleration we are computing using cylindrical co-ordinate system.
 
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  • #2
The acceleration of the frame is centripetal.
 
  • #3
mritunjay said:
I don't understand how can we know coriolis forse by computing acceleration in cylindrical system since it (coriolis forse) involves velocity of the object, w.r.t. the rotating frame …

Hi mritunjay! :smile:

Pseudo (fictional) forces are inertial forces, meaning that the acceleration due to an inertial force is independent of the mass.

But it can depend on velocity.
 

FAQ: Coriolis forse and cylindrical co-ordinates

What is Coriolis force?

Coriolis force is a fictitious force that appears to act on objects in a rotating reference frame. It is caused by the rotation of the Earth and affects the direction of moving objects.

How does Coriolis force affect weather patterns?

Coriolis force plays a key role in the formation and movement of weather patterns, such as hurricanes and cyclones. It causes air and water to rotate in a curved path, creating the characteristic swirling motion of these systems.

What are cylindrical coordinates?

Cylindrical coordinates are a type of coordinate system that uses a combination of radial distance, angle, and height to locate points in three-dimensional space. They are often used in physics and engineering to describe the motion of objects.

How are Coriolis force and cylindrical coordinates related?

Coriolis force can be described using cylindrical coordinates, as the force is dependent on the radial distance and angular velocity of rotating objects. In this coordinate system, the Coriolis force is represented as a tangential force acting on a moving object.

What are some practical applications of understanding Coriolis force and cylindrical coordinates?

Understanding Coriolis force and cylindrical coordinates has many practical applications, including predicting the movement of weather patterns, designing efficient wind turbines, and studying the motion of objects in rotating systems, such as spacecraft and amusement park rides.

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