Resultant thrust and overturning turnning moments

AI Thread Summary
To calculate the resultant thrust and overturning moment for a vertical sluice gate when water is level with the top edge, the relevant equations include the relationship between force and pressure. Newton's First Law, F = ma, is incorrectly referenced as it pertains to motion, which is not applicable in this scenario. The correct approach involves using the moment equation, M = (F)(d), while also incorporating an equation that connects force to pressure. The density of water is given as 1000 kg/m^3, which is essential for determining the pressure exerted on the gate. Understanding these principles is crucial for solving the problem accurately.
speedy46
Messages
46
Reaction score
0

Homework Statement



A vertical sluice gate is 5 meters wide and 3 meters deep. calculate the resultant thrust and overturnning moment when the water is level with the top edge of the gate.
Density water = 1000kg/m^3

Homework Equations



Newton's First Law F = ma

Moment = Force x Distance or M = (F)(d)

The Attempt at a Solution



I wondered if theses where the correct equations to use.
 
Physics news on Phys.org
Hi speedy46! :smile:
speedy46 said:
Newton's First Law F = ma

Moment = Force x Distance or M = (F)(d)

I wondered if theses where the correct equations to use.

F = ma is Newton's second law … and it's a law of motion, and there's no motion here, is there? :smile:

Yes, moment = force x distance, but you'll also need an equation relating force (which you don't know) to pressure (which you do). :wink:
 
Back
Top