Question

Particle travels along a circular path that has a radius of 3 feet. The angular velocity of the particle is 18 radians per minute.

The linear velocity of the particle is _____ feet per minute.

Answer 1

54

Explanation:

took test on edge

Answer 2

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