Calculating Angular Acceleration of a Shaft

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SUMMARY

The discussion centers on calculating the angular acceleration of a shaft with a specified radius "r" operating at a constant RPM. It is established that if the RPM is constant, the angular velocity remains unchanged, resulting in an angular acceleration of zero. Participants clarify that the term "RPM" implies uniform rotational motion, which negates any change in angular velocity over time. The conversation also suggests that the inquiry may have been intended to address centripetal acceleration instead.

PREREQUISITES
  • Understanding of angular velocity and its relationship to RPM
  • Familiarity with the concept of angular acceleration
  • Knowledge of centripetal acceleration
  • Basic principles of rotational motion
NEXT STEPS
  • Study the relationship between RPM and angular velocity in detail
  • Learn about the formulas for calculating angular acceleration and centripetal acceleration
  • Explore the implications of uniform rotational motion on angular dynamics
  • Investigate practical applications of angular acceleration in engineering contexts
USEFUL FOR

Mechanical engineers, physics students, and anyone involved in rotational dynamics or shaft design will benefit from this discussion.

elmariachi
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I have a shaft with radius "r" running at a certain RPM. how can i determine the angular acceleration of the shaft. Do i need any other parameters as well? Can i say that the angular acceleration can be (w^2*r), w is the angular velocity, r being the radius.

thanks
 
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is the "certain RPM" a constant? If so, change in angular velocity of time has to be zero.
 
HungryChemist said:
is the "certain RPM" a constant? If so, change in angular velocity of time has to be zero.

In fact, any time an RPM is given it is meant that the rotatory motion is uniform, i.e. the angular velocity is a constant and , therefore, the angular acceleration is zero. Perhaps the problem meant to ask the centripetal acceleration?

J
 

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