Calculate the angular velocity of the particle at 5 seconds if the particle starts from the point (0m,8,) and moves with a uniform velocity of 3i m.s-1.

Given,

Time, t = 5 s

We know that,

mv1r1 = mv2r2

v1 = 3 m.s-1

r1 = 8m

r2 = \(sqrt{8^{2}+15^{2}}\) = 17m

v2 = \(3times frac{8}{17}\)

Angular velocity, ω = \(frac{v_{2}}{r_{2}}\)

ω = \(frac{3times 8}{17times 17}\)

ω = \(frac{24}{289}\) rad.s-1