Calculating Loss of Kinetic Energy and Power Dissipated During Braking

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SUMMARY

The discussion focuses on calculating the loss of kinetic energy during braking and the power dissipated as heat in the brakes. The primary formula used is KE = 1/2 mv² for kinetic energy, while the work done is calculated using the formula Work = Force x Distance. In cases of non-constant braking force, integration of the dot product of the force vector and the differential x-vector is necessary. To determine power generation, one must calculate the energy dissipated per unit of time.

PREREQUISITES
  • Understanding of basic physics concepts, specifically kinetic energy and work-energy principles.
  • Familiarity with calculus for integrating force vectors in non-constant scenarios.
  • Knowledge of power calculations in terms of energy dissipation over time.
  • Basic understanding of braking systems and their mechanics.
NEXT STEPS
  • Study the principles of energy conservation in mechanical systems.
  • Learn about integration techniques for calculating work done by variable forces.
  • Research the relationship between power, energy, and time in thermodynamics.
  • Explore advanced braking system designs and their efficiency in energy dissipation.
USEFUL FOR

Physics students, automotive engineers, and professionals involved in vehicle dynamics and braking system design will benefit from this discussion.

xto
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What formula should i use to calculate
the loss in kineti energy during braking and
the power dissipated as heating in the brake
do i just use ke=1/2mv^2 and work done =force x distance ?
 
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xto said:
What formula should i use to calculate
the loss in kineti energy during braking and
the power dissipated as heating in the brake
do i just use ke=1/2mv^2 and work done =force x distance ?
Yes. The braking force x stopping distance (assuming constant braking force) is equal to the loss of kinetic energy of the vehicle.

AM
 
Andrew Mason said:
Yes. The braking force x stopping distance (assuming constant braking force) is equal to the loss of kinetic energy of the vehicle.
And if it's not constant, you can integrate the dot product of the force vector and the differential x-vector.

If you want the power of heat generation, you will need to find how much energy is being dissipated (i.e. how much kinetic energy is lost) per unit of time.
 

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