In: Physics
A: A child, hunting for his favorite wooden horse, is running on the ground around the edge of a stationary merry-go-round. The angular speed of the child has a constant value of 0.297 rad/s. At the instant the child spots the horse, one-quarter of a turn away, the merry-go-round begins to move (in the direction the child is running) with a constant angular acceleration of 0.00500 rad/s2. What is the shortest time it takes for the child to catch up with the horse?
B:The earth spins on its axis once a day and orbits the sun once a year (365.24 days). In each case take the positive direction for the angular displacement to be the direction of the earth's motion.
Determine the average angular velocity of the earth as it spins
on its axis.
Determine its angular velocity as it revolves around the sun.