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**1. Homework Statement**

It takes 20 turns to drive a screw completely into a block of wood. Because the

friction force between the wood and the screw is proportional to the contact area between

the wood and the screw, the torque required for turning the screw increases linearly with

the depth that the screw has penetrated into the wood. If the maximum torque is 12 N m

when the screw is completely in the wood, what is the total work (in Joules) required to

drive in the screw?

**3. The Attempt at a Solution**

So I tried to do an integral by finding out how much the torque changed per rotation. Then using that as the equation and the total distance turned to be plugged in.

[tex]\int.6x[/tex] from 0 to 7200. I got a very large number and I don't think I did it right....