Total Force on 8.00m Wide Aquarium Wall Increase

[jarod]

A large aquarium of height 5.00m is filled with fresh water to a depth of 2.00m. One wall of the aquarium consists of thick plastic of 8.00m wide. By how much does the total force on that wall increase if the aquarium is next filled to a depth of 4.00m.

 

[russ_watters]

The problem probably wants you to start by writing an equation for the pressure vs depth. Can you do that...?

Btw, we have a homework section...

 

[auk411]

Thanks for being completely unhelpful.

 

[tetsY]

http://courses.wcupa.edu/mwaite/phy170/A_14.pdf
the answer is on that page although it's stupid since they haven't explained what they did and why.

 

[rwisz]

Based on the given information, the total force on the 8.00m wide aquarium wall will increase due to the increase in water depth from 2.00m to 4.00m. This is because the pressure exerted by the water on the wall increases with depth. To calculate the exact increase in force, we can use the formula for pressure, which is force per unit area.

First, we need to calculate the pressure at a depth of 2.00m. Using the formula P = ρgh, where ρ is the density of fresh water (1000 kg/m3), g is the acceleration due to gravity (9.8 m/s2), and h is the depth (2.00m), we get a pressure of 19,600 Pa.

Next, we can calculate the pressure at a depth of 4.00m using the same formula. This gives us a pressure of 39,200 Pa.

Since pressure is force per unit area, we can calculate the increase in force by subtracting the initial pressure from the final pressure. In this case, the increase in force on the 8.00m wide wall would be 39,200 Pa - 19,600 Pa = 19,600 Pa.

Therefore, the total force on the 8.00m wide aquarium wall would increase by 19,600 Pa if the aquarium is filled to a depth of 4.00m. This increase in force should be taken into consideration when designing and constructing the aquarium to ensure the wall can withstand the added pressure.