(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The upper edge of a gate in a dam runs along the water surface. The gate is 2.00 m high and 4.00m wide and is hinged along a horizontal line through its center.

Calculate the torque about the hinge arising from the force due to the water. (Hint: Calculate the torque on a thin, horizontal strip at a depth h and integrate this over the gate.)

2. Relevant equations

3. The attempt at a solution

I wasn't sure how to calculate torque without force, but I figured maybe I could use atmospheric pressure as follows:

F=100000*8(area of gate)=800000N

but then I dont know how the integration comes to play, I tried just multiplying the force by the distance between the hinge and the surface of water to find the torque:

I assumed it is the distance r from the surface of the water to the center of the gate which is half the height of the gate

d=2*0.5=1m

torque=rF=1*800000

dont know how to properly integrate the toque over the gate and if the distance I have used is correct.

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# Homework Help: Calculate the torque of a hinge in a dam

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