Calculating Power for an Elevator with Maximum Load and Speed

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SUMMARY

The power required by an electric motor to drive a 1200kg elevator carrying a maximum load of 800kg at a speed of 2.3 m/s is calculated using the formula P=F*v. The total weight acting downwards is determined by the combined mass of the elevator and the load, which totals 2000kg. This weight is multiplied by the acceleration due to gravity (9.81 m/s²) to find the force, resulting in 19620 N. The final power calculation yields 45126 W.

PREREQUISITES
  • Understanding of basic physics concepts such as force and power
  • Familiarity with the formula P=F*v
  • Knowledge of gravitational acceleration (g = 9.81 m/s²)
  • Ability to perform unit conversions and calculations involving mass and weight
NEXT STEPS
  • Study the principles of mechanical power calculations in physics
  • Learn about the role of electric motors in lifting systems
  • Explore advanced topics in elevator design and safety standards
  • Investigate the impact of load variations on power requirements
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Students in physics or engineering fields, mechanical engineers, and professionals involved in elevator design and maintenance will benefit from this discussion.

nns91
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Homework Statement



A 1200kg elevator driven by an electric motor can safely carry a maximum load of 800kg. What is the power provided by the motor when the elevator ascends with a full load at a speed of 2.3 m/s

Homework Equations



P=F*v

The Attempt at a Solution



So I use directly P=F*v=(melevator+mpeople)*g*v

However I got the wrong answer. Does it involve any other formula here ?
 
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Hi nns91,

nns91 said:

Homework Statement



A 1200kg elevator driven by an electric motor can safely carry a maximum load of 800kg. What is the power provided by the motor when the elevator ascends with a full load at a speed of 2.3 m/s

Homework Equations



P=F*v

The Attempt at a Solution



So I use directly P=F*v=(melevator+mpeople)*g*v

However I got the wrong answer. Does it involve any other formula here ?


What answer did you get?
 


Dont you calculate the weight acting downwards so

w=mg

where the mass is 1200+800=2000kg

multiplied by g = 9.81ms^-2

so f downwards or the weight = 19620

then put it in

p=fv

so p= 19620 x 2.3

p= 45126 w


thats how i would do it don't know if I am right =]
 

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