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Concepts Of Physics MCQ Edition [Volume 1]PhysicsRotational Mechanics

A uniform rod having a mass of 300 g and a length of 50 cm rotates at a uniform angular speed of 2 rad/s about an axis perpendicular to the rod through one end. Determine the speed of the centre of the rod.

Options

  1. A50 cm/s
  2. B75 cm/s
  3. C25 cm/s
  4. D100 cm/s

Correct answer

A. 50 cm/s

Step-by-step solution

Given, length of the rod L = 50 cm and angular speed = 2 rad/s . The distance of the centre of the rod from the axis of rotation passing through one end is r = L 2 = 25 cm . The linear speed of the centre of the rod is given by v = r . Substituting the values, v = 25 2 = 50 cm/s .

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