How Much Work Does a Machine Perform Between 9s and 18s?

AI Thread Summary
To find the work done by a machine between 9.0 seconds and 18 seconds, the power function is given as P = ct^2, with c equal to 18 W/s^2. The relationship between power, work, and time is expressed as P = w/t. To calculate the total work done, integration of the power function with respect to time is necessary, since P represents the rate of work done. The integration will provide the total work performed by the machine in the specified time interval.
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Homework Statement


A machine does work at a rate given by , P=ct^2 where c= 18 W/s^2 and t is time.
Find the work done by the machine between 9.0s and 18s .

Homework Equations



P=w/t

The Attempt at a Solution



no ideas
 
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pph1011 said:

Homework Statement


A machine does work at a rate given by , P=ct^2 where c= 18 W/s^2 and t is time.
Find the work done by the machine between 9.0s and 18s .

Homework Equations



P=w/t

The Attempt at a Solution



no ideas

Integrate with respect to time because:

P=\frac{dW}{dt}.
 

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