Angular Velocity in Linear Momentum Equation

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SUMMARY

The discussion focuses on the application of angular velocity in the linear momentum equation, specifically in the context of Newton's Cradle. The equations m1v1 = m2v2 and m1ω1 = m2ω2 are highlighted to illustrate the conservation of momentum during collisions in the system. Participants confirm that the equations are valid for analyzing momentum transfer in Newton's Cradle, where the pendulum's motion facilitates the transfer of momentum between balls.

PREREQUISITES
  • Understanding of linear momentum and its equations
  • Familiarity with angular velocity concepts
  • Knowledge of Newton's laws of motion
  • Basic principles of energy conservation in collisions
NEXT STEPS
  • Research the principles of momentum conservation in elastic collisions
  • Explore the mathematical derivation of angular momentum equations
  • Learn about the dynamics of Newton's Cradle and its applications
  • Study the relationship between linear and angular motion in physics
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Physics students, educators, and anyone interested in understanding the mechanics of momentum transfer in systems like Newton's Cradle.

StevenJacobs990
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m1v1 = m2v2
v = rω
m1(rω)1 = m2(rω)2
m1ω1 = m2ω2
Does this make sense?
 
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StevenJacobs990 said:
Does this make sense?
For which scenario?
 
A.T. said:
For which scenario?
For Newton's Cradle
because the pendulum in Newton's cradle swings down to collide and transfer momentum to the ball on the other end.
 
Then yes.
 

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