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

[navm1]

Homework Statement

[/B]
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.

Homework Equations

Q = mc(deltaT)
Q/t = P

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

 

[haruspex]

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

There's no calculus of any interest here, the rate is constant. Your method is as good as any.

 

[navm1]

makes sense. thanks haruspex