ISRO Mechanical & Aerospace 2007 - Question 19

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Topic: Fluid Mechanics

If a jet of water of area 'A' strikes with velocity 'V' a series of flat plates mounted on a wheel of mean diameter D rotating at N rpm, then force exerted will be equal to

  • A. $\frac{\rho AV^{2}}{g}$
  • B. $\frac{\rho AV}{g}(V-\frac{\pi DN}{60})$
  • C. $\frac{\rho A}{g}\times\frac{\pi DN}{60}$
  • D. $\frac{\rho A}{g}(V-\frac{\pi DN}{60})$

Answer: B. $\frac{\rho AV}{g}(V-\frac{\pi DN}{60})$

Explanation: Force Exerted $= \frac{\rho AV(V-u)}{g}$ [Force per unit weight] where $u=\frac{\pi DN}{60}$. Therefore, Force $= \frac{\rho AV}{g}[V-\frac{\pi DN}{60}]$.

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