Earth rotate about its axis which passes through its center
centripetal acceleration a = rw²
r is the radius of earth
(a) radius at equator r = 6.37 x 10⁶ m
w is the angular speed
w = 2*п/T
T is the time period to complete one rotation
T = 24 hours = 24x60x60 sec
T = 86400 sec
w = 2*3.14/86400
w = 7.27 x 10⁻⁵ rad/sec
a = rw²
a = (6.37 x 10⁶)(7.27 x 10⁻⁵)²
a = 3.37 x 10⁻² m/s²
(b) radius of earth from axis of rotation at pole is zero
r=0
so angular acceleration at pole =0