Calculating Force: Swimming Pool Problem

  • Thread starter Thread starter ernay
  • Start date Start date
  • Tags Tags
    Force Swimming
AI Thread Summary
The discussion focuses on calculating the force exerted by water in a swimming pool with dimensions 30.0 m by 10.0 m and a depth of 2.00 m. The initial calculation for the force on the bottom of the pool is derived using buoyancy principles, resulting in a force of 5,880,000 N. For the sides and ends, there is uncertainty about the correct approach, with suggestions to consider average pressure and Bernoulli's equation. The average pressure formula is proposed as (p*g*h)/2, leading to the application of P=F*A for further calculations. Clarification on these methods is sought to accurately determine the forces on the pool's sides and ends.
ernay
Messages
10
Reaction score
0

Homework Statement


A swimming pool has dimensions 30.0 m and 10.0 m and a flat bottom. When the pool is filled to a depth of 2.00 m with fresh water, what is the force caused by the water on the bottom? On each end? On each side?


Homework Equations


B = pgV
P1+pgh+1/2pv2


The Attempt at a Solution


For the force on the bottom I thought it'd make sense to use buoyancy, so basically (103)*9.8**30*10*2), which is 5,880,000N... As for the sides and ends, I haven't got a clue on how to do it, I thought it might've involved Bernoulli's equation but I'm not really sure..
 
Physics news on Phys.org
I've been looking around online and I've seen similar problems where they use average pressure... which is (p*g*h)/2 p is density btw... is this the right approach, then just use P=F*A?
 
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}...
View full post »

Similar threads

Force in Varying Places in a Swimming Pool
Replies
29
Views
7K
Buoyancy of Balls A and B in a Swimming Pool
Replies
10
Views
2K
B Swimming pool in a rotating space station
Replies
26
Views
3K
Density of Block Submerged into Swimming Pool
Replies
10
Views
3K
Calculating Pressure & Force in a Swimming Pool
Replies
3
Views
2K
Hydrostatic Force in swimming pool
Replies
6
Views
9K
Force on the sides of a swimming pool, differeniation
Replies
13
Views
15K
How Do Fluid Forces Affect a Swimming Pool's Structure?
Replies
1
Views
2K
Calculating Force on the Bottom and Sides of a Swimming Pool
Replies
13
Views
13K
Girl's Velocity Relative to Ground: Solving a Swimming Problem
Replies
14
Views
2K

Hot Threads

Recent Insights

Back
Top