How Much Power is Needed to Move an Elevator at 4.50 m/s?

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Homework Help Overview

The problem involves calculating the power required to move an elevator cab with a specified mass and load at a constant speed. The context includes the mass of the elevator and its load, as well as the speed at which it is moving upward.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between distance and time in the context of power calculation, questioning how to define these variables. There is an exploration of kinematic equations and their relevance to the problem.

Discussion Status

The discussion is active, with participants attempting to clarify the relationship between distance, time, and velocity. Some participants suggest calculations based on the given values, while others confirm the understanding of the concepts involved. There is no explicit consensus on the final answer, but multiple interpretations of the calculations are being explored.

Contextual Notes

Participants are navigating the definitions of variables and the application of equations without providing a complete solution. The discussion reflects uncertainty in how to approach the problem effectively.

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Homework Statement


An elevator cab has a mass of 4600 kg and can carry a maximum load of 1800 kg. If the cab is moving upward at full load at 4.50 m/s, what power is required of the force moving the cab to maintain that speed?

Homework Equations


P = W/T
W = F*D
F = M*A

The Attempt at a Solution


P = W/T
P = (F*D)/T
P = ((M*A)*D)/T
P = ((6400*9.8)*D)/T
I don't know what I should enter for D and T
Help, please?
 
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D/T is equal to what ? (using kinematic equations ).
 
Distance and Time
 
Distance divided by time equals _____? (Fill in the blank)
 
oh velocity
 
so the answer would be 6400*9.8*4.5 = 282240 Watts?
 
GalacticSnipes said:
oh velocity
Well, D/T is average or constant speed , which is given.
 
constant
 
GalacticSnipes said:
so the answer would be 6400*9.8*4.5 = 282240 Watts?
GalacticSnipes said:
so the answer would be 6400*9.8*4.5 = 282240 Watts?
Yes. You should round it off to say 280 kW.
 
  • #10
But 282.240 kW is the non rounded answer?
 
  • #11
GalacticSnipes said:
But 282.240 kW is the non rounded answer?
Yes.
 
  • #12
ok, thx
 

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