we know that
[length of a circumference ]=2*pi*r
for r=3 ft
[length of a circumference ]=2*pi*3-----------> 18.84 ft
The angular velocity of the particle is 18 radians per minute.
if 2pi radians (full circle)------------------> 18.84 ft
18 radians----------------------------------> X
X=18*18.84/(2*pi)---------> X=54 ft
so
The linear velocity of the particle is 54 ft/minute
the answer is
54 ft/min
