Question

calculate the total pressure at an ocean depth of 1000m.
take density of water= 1000kg/m^3 and atmospheric pressure = 1× 10^5.

Answer 1

Pressure = P₀ + hdg
= 10⁵ Pa + (10³ m × 10³ kg/m³ × 10 m/s²)
= 10⁵ Pa + 10⁷ Pa
= 10⁵ [1 + 100]
= 101 × 10⁵ pascals

∴ Pressure at that depth is 101 × 10⁵ pascals

Answer 2

Pressure at h m depth in the fluid = Atmospheric pressure + h*d*g

P = $p_{0} \: + h \times d \times g$

P = 1 * 10^5 + 10³m × 10³kg/m³ × 10m/s²

P = 10^5 + 10^7

P = 10^5 ( 1 + 100)

P = 101× 10^5 Pascals.

Pressure at the depth 1000m is 101×10^5Pa