By definition, the linear velocity is given by:
\(v = w*r\)
Where,
w: angular speed
r: radius
We have that the radius of the wheel is
\(r = d / 2\)
Where,
d: diameter of the wheel
substituting values:
\(r = 60/2
r = 30 feet\)
Then, we have the following conversions:
1 revolution = 2π radians
1 minute = 60 seconds
Therefore, the angular velocity in radians per second is:
\(w = \frac{1}{5} \frac{2 \pi }{60}\)
\(w = 0.0209 \frac{rad}{s}\)
Substituting values we have:
\(v = (0.0209)(30)
v= 0.62\)
Answer:
your linear velocity is:
a. 0.62 feet per second
