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