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Rate of change in temperature. Another way to do this?

  1. Feb 22, 2015 #1
    1. The problem statement, all variables and given/known data

    My question is regarding Part B of this problem, I have solved it but I'm wondering if there is another way to solve it since it says dtheta/dt and one of the hints I found online suggested that I use the chain rule.

    20e9cbff1c.png

    2. Relevant equations
    Q = mc(deltaT)
    Q/t = P

    3. The attempt at a solution

    For the first part, i just did theta/time to find angular velocity, then multiplied by radius to find the tangential velocity, then just multiplied by the force of 520N by pi/9, the tangential velocity to get 180 Watts.

    For the second part I just divided the equation for Q by t to make deltaT/t=P/mc and got 0.064 C/s.

    If there was a calculus way to solve this I'd appreciate some help. Thanks
     
  2. jcsd
  3. Feb 22, 2015 #2

    haruspex

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    There's no calculus of any interest here, the rate is constant. Your method is as good as any.
     
  4. Feb 22, 2015 #3
    makes sense. thanks haruspex
     
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