Figure shows the schematic for the measurement of velocity

Figure shows the schematic for the measurement of velocity of air (density = 1.2 kg/m³) through a constant-area duct using a pitot tube and a water tube manometer. The differential head of water (density = 1000 kg/ m³) in the two columns of the manometer is 10 mm. Take acceleration due to gravity as 9.8 m/s². The velocity of air in m/s is 10 m m

From Bernoulli's equation

v²₁ - v²₂	=	p₂ - p₁
2g	=	2g

⇒ v₁ = √	(p₂ - p₁)
	p_a

But p₂ - p₁ = (ρgh)_water
= 9810 × 10 × 10^{– 3}
= 98.1 N/m²

⇒ v₁ = √	2 × 98.1	= 12.8 m/s
	1.2