Question

Aperson is running around a cicular ground takes its one round in 25 sec.the radius of ground is 5 metre.find distance and displacement covered by him after 2min 55sec.

Answer 1

Answer:

radius r = 5 m

Angular velocity ω = 2π/25 rad/s

linear speed v = rω = 5 x 2π/25 = 2π/5 m/s

distance covered s = vt = (2π/5 )x 175 s

= 2 x 22 x 175/(7 x 5)

= 220 m

Angular covered = ω t = (2π/25) x 175

= 14 π

The person reaches the staring point after 175 sec

∴ The displacement = 0