1) The angular speed of a point 2.5 m from the center of a steadily rotating merry-go-round rotates one complete revolution in 3.0 seconds. a) What is the angular speed of the point? Show your work. b) What is the linear speed of the point? Show your work. c) What would be the angular acceleration of a child placed at this point? Show your work. 2) A centrifuge rotor, similar to the one seen in the circular motion unit, is accelerated from rest to 10,000 revolutions per minute (rpm) in 5.0min. a) What is its average angular acceleration (in rpm per second)? b) Through how many turns has the centrifuge rotor turned during its acceleration period? Assume constant angular acceleration. 3) At a particular moment in a race, a car roaring around a turn, pictured below, with a radius of 50.0 m had an angular speed of 0.75rad/s and an angular acceleration of 0.25 rad/s. At this particular moment find the linear speed. Show your work.