What is the equation for kinetic energy of a bicycle?

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SUMMARY

The equation for kinetic energy of a bicycle is derived from the formula for translational kinetic energy, which is expressed as KE = (1/2)mv². In the discussion, participants clarify that the factor of 1/2 is essential and originates from the integration of velocity over time. The confusion arises from the combination of translational and rotational kinetic energy, where both components contribute to the overall kinetic energy of the bicycle.

PREREQUISITES
  • Understanding of basic physics concepts, specifically kinetic energy
  • Familiarity with the formula KE = (1/2)mv²
  • Knowledge of rotational motion and its equations
  • Ability to interpret and manipulate algebraic equations
NEXT STEPS
  • Study the derivation of the kinetic energy formula in detail
  • Learn about rotational kinetic energy and its application in bicycles
  • Explore the relationship between linear and rotational motion
  • Investigate real-world examples of kinetic energy in cycling dynamics
USEFUL FOR

Students studying physics, educators teaching mechanics, and cycling enthusiasts interested in the physics of bicycle motion.

aron silvester

Homework Statement


How did they get mv^2? Where did the 1/2 go? I tried working out the equation below the question and I ended up getting (1/2)mv^2.
Look at the image to see. It's the rotational kinetic energy formula.
20171027_024901000_iOS.jpg


Homework Equations


It's in part 1

The Attempt at a Solution


It's in part 1
 

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Their mv2 came from combining ½mv2 + ½mv2
 

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