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Sunday, December 2, 2018

The diagram shows the cross-section of an Olympic-size swimming pool filled with water.


Question 18
The diagram shows the cross-section of an Olympic-size swimming pool filled with water. It is not drawn to scale. The density of the water is 1000 kg m-3.


What is the difference in pressure between X and Y?
A 0.35 kPa                  B 3.4 kPa                    C 21.3 kPa                  D 58.9 kPa





Reference: Past Exam Paper – November 2015 Paper 12 Q20





Solution:
Answer: B.

Pressure is due to the liquid above the point.


Pressure in liquid = hρg
where h is the depth under water


Pressure at X = hρg = 2.35 × ρg

Pressure at Y = hρg = 2.00 × ρg


Difference in pressure = pressure at X – pressure at Y
Difference in pressure = 2.35 × ρg – 2.00 × ρg = (2.35 – 2.00) × 1000 × 9.81

Difference in pressure = 3433.5 Pa = 3.4 kPa

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