Two particles move on the same circular path in the same direction with periods 6 s and 10 s. If their relative angular speed is Nπ/15 rad/s, find N.

Question

G1 Physics · Accepted Answer

Angular speeds are ω₁ = 2π/6 = π/3 rad/s and ω₂ = 2π/10 = π/5 rad/s. Since they move in the same direction, relative angular speed is |ω₁−ω₂| = π/3 − π/5 = 2π/15 rad/s. Hence N = 2.