final angular velocity

Please answer C, D, E The angular position of a rod varies as 20.7t2 radians from time t = 0. The rod has two beads on it as shown in the following figure, one at  r1 = 13 cm from the rotation axis and the other at  r2 = 32 cm from the rotation axis. (Note: figure may not be drawn to scale.)   (a) What is the instantaneous angular velocity (in rad/s) of the rod at t = 3 s? (Indicate the direction with the sign of your answer. Round your answer to at least one decimal place.) 1.24.2 rad/s,  ANSWERED (b) What is the angular acceleration (in rad/s2) of the rod at t = 3 s? (Indicate the direction with the sign of your answer.) 41.4  rad/s2,  ANSWERED (c) What are the tangential speeds of the beads (in m/s) at t = 3 s? vt, 1 =16.146 m/s,  ANSWERED vt, 2 =____m/s  (d)What are the tangential accelerations of the beads at t = 3 s? (Enter the magnitudes in m/s2.) at, 1 = ______ m/s2 at, 2 = ______ m/s2   (e) What are the centripetal accelerations of the beads at t = 3 s? (Enter the magnitudes…

A large centrifuge, like the one shown in figure (a), is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries.ac = 8.25 gd = 17.5 m At what angular velocity is the centripetal acceleration 8.25 g if the rider is 17.5 m from the center of rotation? Give your answer in rad/s. ω =The rider’s cage hangs on a pivot at the end of the arm, allowing it to swing outward during rotation as shown in figure (b). At what angle θ below the horizontal will the cage hang when the centripetal acceleration is 8.25 g? Give your answer in degrees. θ =

June started winding up her arm holding a baseball, moving it around her shoulder in a circle, to get ready to throw. June’s arm is 0.5 m long and moves at an angular velocity of 2 rad/s. How much time will 10 revolutions take? What is the velocity of the baseball when she let go of it?