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Flywheels' torque & power

  1. May 11, 2010 #1
    1. The problem statement, all variables and given/known data
    Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the wheel's energy can be released quickly to accomplish a task that demands high power. An industrial flywheel has a 1.5m diameter and a mass of 270kg . Its maximum angular velocity is 1200rmp .


    a)A motor spins up the flywheel with a constant torque of 53Nm . How long does it take the flywheel to reach top speed?
    Ans:180s

    b) How much energy is stored in the flywheel?
    Ans:6*10^5 J

    c) The flywheel is disconnected from the motor and connected to a machine to which it will deliver energy. Half the energy stored in the flywheel is delivered in 2.5s . What is the average power delivered to the machine?

    Ans:120000Watt

    MY QUESTION IS:
    d)How much torque does the flywheel exert on the machine?

    2. Relevant equations
    k=0.5*Iw^2
    torque=F*r=Ialpha
    P=F*v


    3. The attempt at a solution

    I try to solve with 2.5x120000= 0.5*Iw^2 then use w to find alpha and finally solve for the
    Torque, but my answer is wrong.... Can anyone gve me a hint??
     
  2. jcsd
  3. May 11, 2010 #2
    Help!!
     
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