An open cylindrical tank of radius contains water to a depth of

PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

An open cylindrical tank of radius 0.50 m0.50\,\text{m} contains water to a depth of 2.0 m2.0\,\text{m}. A circular hole of radius 1.0 cm1.0\,\text{cm} is drilled in the tank’s flat bottom, allowing the water to flow out into the atmosphere. (a) Calculate the speed of the water as it emerges from the hole at the moment when the water depth inside the tank is 1.5 m1.5\,\text{m}. Express your answer with appropriate units. (b) Determine the instantaneous mass flow rate of the water at that same moment. Use ρ=1000 kg m−3\rho=1000\,\text{kg}\,\text{m}^{-3} for the density of water.

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