What is the need to know the linear net acceleration?

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SUMMARY

The discussion centers on the importance of understanding linear net acceleration in the context of rotational motion. It highlights that while tangential and radial accelerations are crucial for analyzing a rotating system, linear net acceleration becomes significant when an object, such as a ball connected to a fan, loses contact with the rotating surface. In this scenario, the only acceleration acting on the ball is gravitational acceleration (g). The interaction between the ball and the fan blades illustrates Newton's third law, emphasizing the necessity of considering linear net acceleration in dynamic systems.

PREREQUISITES
  • Understanding of rotational motion concepts
  • Familiarity with tangential and radial acceleration
  • Knowledge of Newton's laws of motion
  • Basic principles of gravitational acceleration
NEXT STEPS
  • Study the effects of angular acceleration on linear motion
  • Explore the relationship between centripetal force and radial acceleration
  • Investigate real-world applications of linear net acceleration in rotating systems
  • Learn about the dynamics of objects in free fall after losing contact with a rotating surface
USEFUL FOR

Students and educators in physics, mechanical engineers, and anyone interested in the dynamics of rotational motion and its implications in real-world scenarios.

ehabmozart
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When we talk about rotational motion. I know what is the purpose of angular acceleration. We can get tangential acc. which accelerated the v tangential. Fine. Again, centripetal or radial acceleration for the change in direction but WHAT IS THE NEED TO KNOW THE LINEAR NET ACCELERATION? Take an example of a small ball connected to a horizontal fan. We can know tangential and rADIAL acc but when it looses contact, the only acc is g... Thanks to whoever contributes
 
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When the fan is spinning the ball will apply a force on the blade equal to its weight. Due to Newton's third law the fan will also apply an equal opposite force on the ball therefore the ball will be static along the vertical axis. The net linear acceleration will then be only along the plane of rotation.
 

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