A vessel contains water up to a height of 1.5 m. Taking the density of water 10 ³ kg m ^-3, acceleration due to gravity 9.8 m s ^-2 and area of base vessel 100 cm ², calculate (a) the pressure and (b) the thrust, at the base of vessel.
Fluids Pressure
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Question

A vessel contains water up to a height of 1.5 m. Taking the density of water 10 ³ kg m ^-3, acceleration due to gravity 9.8 m s ^-2 and area of base vessel 100 cm ², calculate (a) the pressure and (b) the thrust, at the base of vessel.

Fluids Pressure

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KnowledgeBoat · Accepted Answer

(a) As we know, Pressure due to water column of height h = h ρ g Given, h = 1.5 m ρ = 1000 kg m ^-3 g = 9.8 m s ² Substituting the values in the formula above, we get, Hence, pressure = 1.47 x 10⁴ N m^-2 (b) As we know, Pressure (P) = Given, A = 100 cm ² Converting cm ² into m ² 100 cm = 1 m So, 100 cm x 100 cm = 1 m ² Hence, 100 cm ² = Therefore, A = 10^-2 m ² Substituting the values in the formula above, we get, Hence, Thrust = 147 N

Physics

A vessel contains water up to a height of 1.5 m. Taking the density of water 10 ³ kg m ^-3, acceleration due to gravity 9.8 m s ^-2 and area of base vessel 100 cm ², calculate (a) the pressure and (b) the thrust, at the base of vessel.

Fluids Pressure

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Fluids Pressure

Related Questions

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A vessel contains water up to a height of 1.5 m. Taking the density of water 10 ³ kg m ^-3, acceleration due to gravity 9.8 m s ^-2 and area of base vessel 100 cm ², calculate (a) the pressure and (b) the thrust, at the base of vessel.

A hammer exerts a force of 1.5 N on each of the two nails A and B. The area of cross section of tip of nail A is 2 mm² while that of nail B is 6 mm² . Calculate pressure on each nail in pascal.

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(a) Calculate the height of a water column which will exert on it's base the same pressure as the 70 cm column of mercury. Density of mercury is 13.6 g cm^-3.
(b) Will the height of the water column in part (a) change if the cross section of the water column is made wider ?