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-   -   Elevator Power. (https://www.askmehelpdesk.com/showthread.php?t=64580)

  • Feb 20, 2007, 09:18 AM
    tnhoots
    Elevator Power.
    A 550 kg elevator starts from rest. It moves upward for 5.00 s with constant acceleration until it reaches its cruising speed, 1.75 m/s.
    (a) What is the average power of the elevator motor during this period?
    W
    (b) How does this power compare with the motor power when the elevator moves at its cruising speed?
    Pcruising = W


    The formula for average power is avg. power = work/change in time
    However, I am not sure how to find the work in the problem since no force or angle is given... Is gravity the only force doing work and is the angle 90?
  • Feb 20, 2007, 10:35 AM
    Capuchin
    The angle is 0 (you don't need to worry about it, because it's a 1d problem), the motor is doing work against the force of gravity.
  • Feb 20, 2007, 03:12 PM
    tnhoots
    Ok so the F in the problem is 9.8m/s^2. I would use cos0. However, the change in distance is unknown. Using the formula d=time * speed, I found it to be 8.75m. So, now would I use the work formula with the numbers (9.8m/s^2)(8.75m)(cos0). Which equals 85.57J. After I find that I would divide work by time (5secs) to find average power which is 17.15 W... just my thinking?
  • Feb 20, 2007, 03:33 PM
    Capuchin
    F = ma :)

    your distance is wrong because it's accelerating, you need to use suvat equations
  • Feb 20, 2007, 04:01 PM
    tnhoots
    The force in this problem would be the mass of the elevator time the acceleration which is 1.75m/s correct. So f in the problem would be 962.5N. For distance I mult. The speed times the time. That is the only way I know to find distance.
  • Feb 20, 2007, 04:13 PM
    Capuchin
    acceleration is the acceleration of gravity!!

    you need to use s = ut + 1/2at^2 to find distance traveled, because it is under constant acceleration.

    I have to hit the sack now, but I will carry on tomorrow.
  • Feb 20, 2007, 05:22 PM
    tnhoots
    One more try:
    f=mass*acceleration
    f=550*9.8=5390N
    change in distance=122.5m
    cosign of angle 0degrees

    w=f*change in d*cosign0
    w=5390*122.5*cosign0
    ?? Correct?
  • Feb 21, 2007, 12:31 AM
    Capuchin
    Oh no, your acceleration for s = ut + 1/2 at^2 is 1.75/5

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