Question

Kelly is running on a circular track that has a radius of 20 feet. Calculate the angle of rotation (in radian measure ) if she runs 1200 feet on the track.

Answer 1

V = ω R where ω is in radian

ω = V / R = 1200 ft / 20 ft = 60 radian

She has covered 60 radians

Check:

S = 60 rad / (2 π rad / rev) = 30 / π revolutions

1 rev = 2 π R = 40 π

N = 1200 ft / (40 π) = 30 / π rev

N = S / R = 1200 ft / (40 π ft) = 30 / π rev