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

In summary, the power required to maintain a speed of 4.50 m/s for an elevator cab with a mass of 4600 kg and a maximum load of 1800 kg is approximately 282240 Watts. This can be calculated using the equation P = (M * A * D)/T, where M is the total mass of the cab and its load, A is the acceleration of the cab, D is the distance traveled, and T is the time taken to travel that distance. The rounded answer is 280 kW.
  • #1
GalacticSnipes
32
0

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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  • #2
D/T is equal to what ? (using kinematic equations ).
 
  • #3
Distance and Time
 
  • #4
Distance divided by time equals _____? (Fill in the blank)
 
  • #5
oh velocity
 
  • #6
so the answer would be 6400*9.8*4.5 = 282240 Watts?
 
  • #7
GalacticSnipes said:
oh velocity
Well, D/T is average or constant speed , which is given.
 
  • #8
constant
 
  • #9
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
 

1. What is the difference between power, work and force?

Power is the rate at which work is done or energy is transferred. Work is the amount of energy transferred when a force is applied over a distance. Force is a push or pull that can cause an object to accelerate.

2. How is power calculated?

Power can be calculated by dividing the amount of work done by the time it took to do the work. The formula for power is: Power = Work/Time.

3. What are some examples of everyday objects that require a lot of power to function?

Some examples of everyday objects that require a lot of power to function are cars, airplanes, and large machinery. These objects require a lot of work to be done in a short amount of time, so they have high power requirements.

4. Can power be negative?

Yes, power can be negative. This occurs when the work being done is negative, meaning energy is being transferred in the opposite direction of the applied force. Negative power means that energy is being taken away or absorbed instead of being generated.

5. How does force affect the amount of work done?

The amount of work done is directly proportional to the force applied. This means that the greater the force, the more work that can be done in a given amount of time. However, if the force is not applied in the direction of motion, it will not result in any work being done.

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