Can these please be solved on paper with a step by step explanation please Answers: 1) a. 3.46 rads/s b. 5.19 rads2) a. 4.08 rev. b.6.57 s3) a. 821 rads/s^2 b. 4205 rads

1) An object is rotating at a constant angular speed of 33 rev/min. (a) What is its angular speed in rad/s? (b) Through what angle, in radians, does it rotate in 1.5 s? 2) A machine rotates at an angular velocity of 1.6 rad/s. Its velocity is then increased to 6.2 rad/s at an angular acceleration of 0.7 rad/s'. (a) How many revolutions does it make during its acceleration? (b) How long does the acceleration take? 3) A dentist's drill starts from rest and after 3.2 s it has an angular velocity of 2.51 x 10* rev/min. (a) Find the angular acceleration of the drill. '(b) Calculate the angle through which the drill rotates