A 1.2-kg toy rocket moves in a horizontal circle on the end of 2.0-m long cable. The other end of the cable rotates on a frictionless pivot. The rocket motor accelerates the rocket at 4.0m/s, from rest, 5s before running out of fuel. The rocket then continues moving at a constant velocity for another 5.0s before slowing down.
(a) What is the rocket's angular velocity in (rpm) when it runs out of fuel?
(b) how many revolutions does the rocket make before it runs out of fuel?
(c) Find the magnitude of the total acceleration and its direction from the r-axis at 2s.
A pebble at the end of a light extensible string is twirled in a horizontal circle at a constant speed of 10m/s. The radius of the circle is 5.0m. Find: (a) the magnitude and direction of the centripetal acceleration of the pebble, and (b) its period of revolution.
A certain turntable of diameter 30cm rotates horizontally about an axis through its center. At t=1, a point on the edge of the turntable rotates from rest at a uniform tangential acceleration of .27m/s^2, where t is in s, until the turntable reaches a final steady angular speed in 5s. The turntable continues rotating at this final speed until it is switched off.
(a) What is the angular displacement of the turntable, in revolutions, at t=5s, from rest?
What is the average angular velocity of the turntable at t=9, from rest?