Question

At the beach, atmospheric pressure is 1025 mbar. You dive 15 m down in the ocean and you later climb a hill up to 250 m elevation. Assume the density of water is about 1000 kg/m³ and the density of air is 1.18 kg/m³. What pressure do you feel at each place? 

Answer 1

∆P = ρgh

P_ocean = P₀ + ∆P

= 1025 × 100 + 1000 × 9.81 × 15 

 = 2.4965 × 10⁵ Pa

= 250 kPa

P_hill = P₀ - ∆P = 1025 × 100 - 1.18 × 9.81 × 250

= 0.99606 × 10⁵ Pa

= 99.61 kPa