Calculating Power for an Elevator with Maximum Load and Speed

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To calculate the power required for an elevator with a maximum load of 800kg and a total mass of 2000kg (elevator plus load), the formula P = F*v is used, where F is the weight acting downwards. The weight is calculated as w = mg, yielding a force of 19620 N when using g = 9.81 m/s². Multiplying this force by the ascent speed of 2.3 m/s gives a power output of 45126 W. The initial approach was incorrect due to not accounting for the total mass. This method provides a clearer understanding of the power calculation for the elevator's operation.
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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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