ISRO Mechanical & Aerospace 2018 - Question 79

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Topic: Theory of Machines

A perfectly balanced rotor shaft supported between short bearings at both ends shows a deflection of 2 mm at middle. Then the critical speed of the shaft in rpm will be nearly,

  • A. 335
  • B. 670
  • C. 2010
  • D. 1340

Answer: B. 670

Explanation: Omega = $\sqrt{g / delta}$ = $\sqrt{9.81 / 0.002}$ = 70.035 rad/s. Critical speed N_c = (60 * Omega) / (2 * pi) = (60 * 70.035) / (2 * 3.14) = 669.12 rpm, which is approximately 670 rpm.

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