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Concepts Of Physics MCQ Edition [Volume 1]PhysicsGravitation

A pendulum having a bob of mass m hangs in a ship that is sailing along the equator from east to west. The angular speed of the earth's rotation is and the radius of the earth is R . Determine the speed of the ship due to the rotation of the earth about its axis, assuming the ship is stationary with respect to the water.

Options

  1. AR
  2. B^2 R
  3. C2 R
  4. DR 2

Correct answer

A. R

Step-by-step solution

The earth rotates about its axis with an angular speed . When the ship is stationary with respect to the water, it is at rest relative to the surface of the earth. Therefore, it moves along with the earth in a circular path of radius R (the radius of the earth at the equator). The speed of the ship in an inertial frame due to the rotation of the earth is simply the tangential speed of a point on the equator. This speed is given by v = R .

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