Moderate

A water hose of internal diameter 20 mm at the outlet discharges 30 kg of water in 60s. What will be the water speed at the outlet? (Flow is steady and density of water is 1000 kg/m³)

Correct answer: D. 1.592 m/s

  • A. 25.6 m/s
  • B. 3.45 m/s
  • C. 1.23 m/s
  • D. 1.592 m/s

Explanation

Correct calculation: mass flow = 30 kg/60 s = 0.5 kg/s ⇒ volumetric Q = 0.5/1000 = 5×10⁻⁴ m³/s. Area A = π(0.01)² ≈ 3.14×10⁻⁴ m² ⇒ v = Q/A ≈ 0.0005/0.000314 ≈ 1.592 m/s.

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Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.

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