Question:
Water from a hose pipe of radius 5 cm strikes a wall normally at a speed of 5 m/s. The force exerted on the wall in newton is
Water from a hose pipe of radius 5 cm strikes a wall normally at a speed of 5 m/s. The force exerted on the wall in newton is
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Use \(F = \rho A v^2\) whenever fluid hits a surface and stops.
Updated On: May 2, 2026
- \(13.5\pi\)
- \(6.25\pi\)
- \(62.5\pi\)
- \(27\pi\)
- \(125\pi\)
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The Correct Option is C
Solution and Explanation
Concept:
Force exerted by fluid on a surface:
\[
F = \rho A v^2
\]
Step 1: Given values: \[ r = 0.05 \text{ m}, \quad v = 5 \text{ m/s}, \quad \rho = 1000 \]
Step 2: Area: \[ A = \pi r^2 = \pi (0.05)^2 = 0.0025\pi \]
Step 3: Substitute: \[ F = 1000 \times 0.0025\pi \times 25 \] \[ = 62.5\pi \] Final Answer: \[ F = 62.5\pi \text{ N} \]
Step 1: Given values: \[ r = 0.05 \text{ m}, \quad v = 5 \text{ m/s}, \quad \rho = 1000 \]
Step 2: Area: \[ A = \pi r^2 = \pi (0.05)^2 = 0.0025\pi \]
Step 3: Substitute: \[ F = 1000 \times 0.0025\pi \times 25 \] \[ = 62.5\pi \] Final Answer: \[ F = 62.5\pi \text{ N} \]
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