Answer:
The gate will open if the height of water is equal to or more than 0.337m.
Explanation:
From the diagram attached, (as seen from the reference question found on google)
The forces are given as
Force on OA
Here
- ρ is the density of water.
- g is the gravitational acceleration constant
is the equivalent height given as
is the area of the OA part of the door which is calculated as follows:
The Force is given as
Force on OB
Here
- ρ is the density of water.
- g is the gravitational acceleration constant
The Force is given as
Now the moment arms are given as
Taking moment about the point O as zero
So the gate will open if the height of water is equal to or more than 0.337m.
