1) A dentist's drill starts from rest. After 2.70 s of constant angular acceleration it turns at a rate of 3.0 104 rev/min.
(a) Find the drill's angular acceleration.
rad/s2
(b) Determine the angle (in radians) through which the drill rotates during this period.
rad
2) A wheel has a radius of 4.2 m. How far (path length) does a point on the circumference travel if the wheel is rotated through the following angles, respectively?
(a) 21°
m
(b) 21 rad
m
(c) 21 rev
m