A soccer ball with a radius of .11 meters rolls with a speed of 20 m/s.
What is the spin frequency, the spin period, and the angular velocity?
The Earth has a radius of 6371 km. What is the speed of the equator due to the
Earth's spin, and what is the corresponding centripetal acceleration?
Chuck Norris has a mass of 100 kg and Tyrion Lannister has a mass of 50 kg, and they
are standing 10 meters away from each other. Let X be the location of the center of
mass of Chuck + Tyrion. How far is X from Chuck?
In space, artificial gravity can be generated by spinning the spaceship. NASA
experiments show that the spin period has to be at least 30 seconds for the
astronauts to not get dizzy. If a spaceship has a spin period of 30 seconds
and if the artificial gravity is 10 meters/second^2, what is the spin radius?
Estimate from your memory the mass and radius of a billiard ball.
Approximate values will do. Use this to estimate the moment of
inertia of the billiard ball. Again, any approximate value is okay.
The goal is to be within the nearest order of magnitude.