. Particles A and B are traveling counter-clockwise
at constant angular speed on two concentric circular paths of radius 2 cm and 4 cm, respectively,
as shown in the picture. Particle A is making
a revolution every 12 minutes and particle B is
making a revolutions every two minutes. Both
particles started traveling from 12 o’clock position of their path.
(A) What is the angular speed of
particle A in radians per minute?
(B) What is the angular speed of
particle B in radians per minute?
(C) Express the polar angle of particle A as a function of time, t, in minute.
(D) Express the polar angle of particle B as a function of time, t, in minute.
(E) What is the position of A,
in polar coordinates, when 13 minutes has
passed?
(F) What is the position of B,
in polar coordinates, when 13 minutes has
passed?
(G) Find the distance between the
two particles when 13 minutes has passed.
