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A Vessel Contains Water up to a Height of 1.5 M. Taking The Density Of Water 103 Kg M-3, Acceleration Due to Gravity 9.8 M S-2 And Area of Base of Vessel 100 Cm2, Calculate: (A) the Pressure

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प्रश्न

A vessel contains water up to a height of 1.5 m. Taking the density of water 103 kg m-3, acceleration due to gravity 9.8 m s-2 and area of base of vessel 100 cm2, calculate: (a) the pressure and (b) the thrust at the base of vessel.

योग
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उत्तर

Given height , h = 1.5 m
Density of water , ρ = 103 kgm-3 
Acceleration due to gravity , g = 9.8 m/s2 
Area of base of the vessel , a = 100 cm2 = `100 xx 10^-4  "m"^2`

(a) Pressure , P = hρg
or , P = `1.5 xx 10^3 xx 9.8`
or , P = `1.47 xx 10^4  "Nm"^-2`

(b) Thrust = Pressure × area
or , thrust = `1.47 × 10^4 × 100 × 10^-4` N
or , thrust = 147 N

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