How Do I Convert v^2/r Into v?

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SUMMARY

The discussion focuses on converting the equation v^2/r into v. The key steps involve isolating v by multiplying both sides by r and then taking the square root of the resulting expression. The final formula derived is v = sqrt(v^2/r * r), simplifying to v = sqrt(v^2), which leads to v = v. This highlights the importance of understanding algebraic manipulation in physics equations.

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  • Basic algebraic manipulation
  • Understanding of physics concepts such as velocity and radius
  • Familiarity with square roots and their properties
  • Knowledge of the relationship between linear and angular motion
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  • Study algebraic equations and their manipulation techniques
  • Explore the concept of velocity in circular motion
  • Learn about the relationship between linear velocity and angular velocity
  • Practice solving physics problems involving equations of motion
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for clear explanations of algebraic concepts in physical contexts.

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Homework Statement



Can someone please walk me through the carrying to get the value of v? I am really lost when it comes to this..

Homework Equations





The Attempt at a Solution

 

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