A perfectly uniform ball with a diameter 20 cm and density 5 g/cm is rotating in...

 

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A perfectly uniform ball with a diameter 20 cm and density 5 g/cm³ is rotating in free space at 1 revolution per second. An intelligent flea of 1 mg resides in a small (massless) house fixed to the ball's surface at a rotational pole. The flea decides to move the equator to the house by walking quickly to a latitude of 45° and waiting the proper length of time. How long should it wait? Hint: neglect the small precession associated with the motion of the flea on the surface of the ball. A perfectly uniform ball with a diameter 20 cm and density 5 g/cm³ is rotating in free space at 1 revolution per second. An intelligent flea of 1 mg resides in a small (massless) house fixed to the ball's surface at a rotational pole. The flea decides to move the equator to the house by walking quickly to a latitude of 45° and waiting the proper length of time. How long should it wait? Hint: neglect the small precession associated with the motion of the flea on the surface of the ball.

Answer rating: 100% (QA)

Step 1 Calculate the balls angular velocity The ball is rotating at 1 revolution per second which means it completes one full rotation in 1 second The ... View the full answer