Dynamics - Need help understanding Coriolis acceleration

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SUMMARY

The discussion centers on understanding Coriolis acceleration, defined by the equation Coriolis Accel = 2*v*w, where 'w' represents angular velocity and 'v' denotes linear velocity. The confusion arises from the application of multiple angular velocities in a problem, leading to uncertainty about which affects the Coriolis acceleration. A key insight provided is that Coriolis acceleration can be visualized as rotating the linear acceleration vector by 90 degrees in the direction of rotation. Additionally, the discussion emphasizes the importance of analyzing the problem from the perspective of a rotating observer to accurately calculate Coriolis effects.

PREREQUISITES
  • Understanding of angular velocity and linear velocity concepts
  • Familiarity with vector mathematics, particularly cross products
  • Basic knowledge of non-inertial reference frames
  • Foundational dynamics principles, especially related to acceleration
NEXT STEPS
  • Study the effects of Coriolis acceleration in rotating systems
  • Learn about the application of angular velocity in dynamics problems
  • Explore vector analysis techniques, particularly cross products in physics
  • Review non-inertial reference frames and pseudo forces in dynamics
USEFUL FOR

Students studying dynamics, physics educators, and anyone seeking to deepen their understanding of rotational motion and its effects, particularly in relation to Coriolis acceleration.

kspabo
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Homework Statement


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Homework Equations


Coriolis Accel = 2*v*w

Where w is the angular velocity and v is the linear velocity.

The Attempt at a Solution



I really just need help on understanding how the Coriolis acceleration in this problem is depicted. My dynamics book is extremely confusing on this part, so much so that my professor advised us to not even read it. His simple explanation was that the coriolis accel. is found by rotating your linear accel in the direction of the rotation by 90 degrees. In this problem, there are two angular velocities being applied, so I'm confused as to which one affects the coriolis accel.

Also, I would really appreciate just a basic explanation of what the coriolis accel. is, as my professor just gave us the eqn. and the little tip on finding it. Thank you!
 
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kspabo said:
I really just need help on understanding how the Coriolis acceleration in this problem is depicted. My dynamics book is extremely confusing on this part, so much so that my professor advised us to not even read it. His simple explanation was that the coriolis accel. is found by rotating your linear accel in the direction of the rotation by 90 degrees. In this problem, there are two angular velocities being applied, so I'm confused as to which one affects the coriolis accel.

Also, I would really appreciate just a basic explanation of what the coriolis accel. is, as my professor just gave us the eqn. and the little tip on finding it. Thank you!

when the observer is a non inertial one ,that is he himself is rotating ,his measurement frame of reference will be rotating and he observes some pseudo forces like centrifugal, coriolis etc. so you must do the analysis of measurement from the point of view of a rotating observer and calculate the value of coriolis acceleration and as its a vector it can be expressed as cross product of velocity vector and angular velocity of rotation.
due to coriolis acceleration on Earth the shells fired by the guns get deflected considerably ;go to sites or textbook for a brief intro then try to solve the problem
 

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