The sagging effect and angular speed.

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SUMMARY

The discussion focuses on the sagging effect experienced by an object with mass m rotating in a circular path at an angle θ below the horizontal. The theoretical angular speed can be calculated using the relationship between potential energy and kinetic energy as the object moves through different heights. Specifically, the conversion of potential energy to kinetic energy allows for the determination of the angular speed in radians per second, factoring in the gravitational force acting on the object. The sagging effect influences the angular speed by altering the height and thus the energy conversion during the motion.

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  • Understanding of circular motion dynamics
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  • Familiarity with angular speed calculations
  • Basic principles of gravitational force
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alevis
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Homework Statement



Does anyone know anything about the sagging effect of a object with mass m rotating in a circular path at an anle of "theta" below the horrizontal?
How do you find the theoretical angular speed the the object is rotating at R revs/d in t seconds at an angle of "theta" degrees (because of sagging effect caused by gravity). You are given the angular speed in revs/s, the time in t seconds and the force of gravity acting on the object during it's motion but not the angle below the horrizontal. How do you find it.
I'd also like to know how the sagging effect affects the theoretical angular speed.
I would like to know how to find the rea

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The Attempt at a Solution


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As the object travels downward the potential energy it had is converted to velocity. This is why the object will speed up at the bottom and slow down at the top.

Basically you take the change in height of the object, figure out how much potential energy was converted to kinetic energy over that height and then convert that velocity from m/s to rad/s.
 

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