Angular acceleration and centri fugal/petal Force

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SUMMARY

The discussion centers on calculating centrifugal acceleration for a mass m at a distance R from a pivoted rod undergoing angular acceleration (α). The relationship established is that centrifugal acceleration equals R * α * m when viewed from a rotating frame. The tangential force on the mass is also expressed as F(tangential) = m * R * α. The participants emphasize that the tangential force observed from an inertial frame corresponds to the centrifugal force perceived in a rotating frame, highlighting the influence of Euler force in non-inertial frames.

PREREQUISITES
  • Understanding of angular acceleration (α) and its implications in rotational dynamics.
  • Familiarity with centrifugal and centripetal forces in physics.
  • Knowledge of inertial versus non-inertial reference frames.
  • Basic principles of Euler force and its role in rotating systems.
NEXT STEPS
  • Study the derivation of centrifugal force in rotating frames using Newton's laws.
  • Explore the concept of Euler force and its applications in rotational dynamics.
  • Learn about the Coriolis effect and its significance in rotating reference frames.
  • Investigate the relationship between angular velocity and angular acceleration in rotational motion.
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Physics students, mechanical engineers, and anyone interested in understanding the dynamics of rotating systems and the forces involved in non-inertial frames.

PhysicsStudnt
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Experts,

I need to find out the centrifugal acceleration on a ball of mass m placed at a distance R from one end of the rod, and that end is being pivoted to rotate the rod..Of angular acceleration is alpha, is it correct to say,

Centripetal / centrifugal (in case that the ball remains stationary at the point) = R* (alpha) * M

On calculating the tangential force on the ball, i see a result, F(tangential) = M * R *(alpha)

I strongly feel that, the tangential force that we obtain on viewing the system from an external stationary reference frame, should be exactly same as the centrifugal force when we view it being in the rotating frame. Since i feel that both of the tangential force and the centrifugal force create the same influence but in different frames...

I need a more authentic explanation to it...could someone please explain...
 
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You wrote "angular acceleration is alpha". Do you mean angular velocity?
 
The inertial effects of angular acceleration of the reference frame are called Euler force, which adds to the effects of the angular velocity of the reference frame (centrifugal, Coriolis):

http://en.wikipedia.org/wiki/Euler_force

PhysicsStudnt said:
I strongly feel that, the tangential force that we obtain on viewing the system from an external stationary reference frame,
If the system has angular acceleration in an inertial frame, then there must a real tangential force that exists in every frame. In the angularly accelerating restframe of the system this real tangential force is balanced by the Euler force.
 

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