# 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