Answer :
(a) The angular speed of this bacterial motor is 
(b) The time taken by the motor to make one revolution is 
Explanation :
(a) To determine the angular speed of this bacterial motor.
Angular speed : It is defined as the rate at which an object changes its angle.
Formula used :

where,
= angular speed
v = tangential speed = 
r = radius = 
Now put all the given values in the above formula, we get:


Thus, the angular speed of this bacterial motor is 
(b) to determine the time taken by the motor to make one revolution.
Formula used :

where,
T = time
Now put all the given values in this formula, we get:


Thus, the time taken by the motor to make one revolution is 