A particle moves through angular displacement ø on a circular path of radius r. The linear displacement will be

2r sin(ø/2)

zsasdsd

To determine the linear displacement when a particle moves through an angular displacement on a circular path, we need to use the formula for arc length. The arc length (s) is given by:

s = rø

Where:
s = Linear displacement (arc length)
r = Radius of the circular path
ø = Angular displacement

By substituting the given values of radius (r) and angular displacement (ø) into the formula, we can calculate the linear displacement (s).