Finding Average Power: Elevator Acceleration and Cruising Speed Calculation

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SUMMARY

The discussion focuses on calculating the average power of a 650 kg elevator that accelerates upward for 3 seconds to reach a cruising speed of 1.75 m/s. Key concepts include the relationship between work, energy transfer, and the definition of acceleration. Participants emphasize the importance of determining the work done on the elevator and the types of energy involved, specifically kinetic energy at cruising speed. An alternative approach suggests using constant force and average velocity for simplification.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of work and energy transfer
  • Basic knowledge of kinematics, specifically acceleration and velocity
  • Ability to calculate kinetic energy using the formula KE = 0.5 * m * v²
NEXT STEPS
  • Calculate the work done on the elevator using the formula W = F * d
  • Explore the relationship between force, mass, and acceleration using F = m * a
  • Learn how to determine average power using the formula P = W / t
  • Investigate the types of energy involved in the elevator's motion, focusing on potential and kinetic energy
USEFUL FOR

Students studying physics, engineers working on elevator systems, and anyone interested in understanding the principles of motion and energy transfer in mechanical systems.

johny_doe
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A 650 kg elevator starts from rest. It goes upward for 3 seconds with constant acceleration until it reaches its cruising speed 1.75 m/s. Find average power...

I'm not really sure where to begin I am basically having trouble finding work for this problem, does anyone know how I should find the work for this?
 
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Start with the definition of acceleration...
 
The effect of Work is Energy transfer ...

Does the elevator have more Energy, later?
What kinds of Energy will it have?

(alternative approach: Force is constant,
average velocity is easy to determine.)
 

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