Are angular & vertical velocity the same if the objects are connected

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SUMMARY

The discussion centers on the relationship between angular velocity and vertical velocity in a system involving a flywheel and a rod. As the engine rotates, the rod's rotation affects the vertical motion of a mass hanging from it. The key conclusion is that the vertical velocity of the hanging mass is directly related to the angular velocity of the flywheel, with the relationship defined by the radius of the rod. This relationship is crucial for understanding motion dynamics in mechanical systems.

PREREQUISITES
  • Understanding of angular velocity and linear velocity concepts
  • Familiarity with rotational dynamics in mechanical systems
  • Basic knowledge of equilibrium in physics
  • Experience with mathematical relationships in physics, such as v = rω
NEXT STEPS
  • Research the mathematical relationship between angular velocity and linear velocity
  • Explore the principles of rotational dynamics in mechanical engineering
  • Study equilibrium conditions in mechanical systems
  • Learn about the applications of flywheels in engineering
USEFUL FOR

This discussion is beneficial for physics students, mechanical engineers, and anyone interested in the dynamics of rotating systems and their applications in real-world scenarios.

Isolde Wilde
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think of a engine. it has a flywheel and a rod connected to it. a string had been totally wrapped around the rod and a mass is hanged from the very end of the rod. the system is in equilibrium. but as the engine starts to rotate, the rod with rotate as well and cause the hanged object to go down while the string comes lose as the rod rotates. is the vertical velocity of the mass hanged equal to the angular velocity of the flywheel?
 
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What is the relationship between angular and linear velocity? You are leaving off an important term so far...

http://hyperphysics.phy-astr.gsu.edu/hbase/imgmec/avel.gif

avel.gif
 

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