Calculating Pressure in a Swimming Pool: Total Force and Absolute Pressure

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To calculate the total force and absolute pressure on the bottom of a swimming pool measuring 22.0 m by 8.5 m with a uniform depth of 2.0 m, it is important to include atmospheric pressure when determining absolute pressure. The pressure against the side of the pool near the bottom can be found using the total force divided by the area, which is calculated as height multiplied by width. The pressure at the side is equivalent to the pressure at the bottom due to the fluid nature of water. Atmospheric pressure should be included when the total pressure is comparable to it or specified in the problem. Understanding when to incorporate atmospheric pressure is crucial for accurate calculations.
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Homework Statement


(a) What are the total force and the absolute pressure on the bottom of a swimming pool 22.0 m by 8.5 m whose uniform depth is 2.0 m? (b) What will be the pressure against the side of the pool near the bottom?

For a), the absolute pressure, I am not sure if I need to add atmospheric pressure? I am little confused with when to include atmospheric pressure. b) To find the pressure against the side of the pool, I need to use total force/Area (height*width)?
Thanks for help.
 
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a, is poorly worded - I would guess that absolute pressur eincludes one atmosphereof air pressure as well.
b, The pressure on the side of the pool is the same as the pressure downwards at that point - because water is a fluid.
 
mgb_phys said:
a, is poorly worded - I would guess that absolute pressur eincludes one atmosphereof air pressure as well.
b, The pressure on the side of the pool is the same as the pressure downwards at that point - because water is a fluid.

okay. But can you tell me when do we usually include atmospheric pressure?
 
MIA6 said:
okay. But can you tell me when do we usually include atmospheric pressure?

When the total pressure is comparable to the atm pressure (slightly subjective), or when specifically told in the problem.
 
I think you can add the ATM pressur to gauge pressur If you whant apsolute p .
to calculat total force = apsolute p * Area
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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