A particle moves in a horizontal circle with constant speed.
Answer the following questions based on this motion:
a. (i) Define the term time period for uniform circular motion.
b. (ii) Show that the distance travelled by the particle in one complete revolution equals 2πr, where r is the radius of the circle.
c. (iii) Using the definition of linear speed, derive an expression that relates the time period T, the radius r and the linear speed v for the particle.