Answer:
The velocity in the border of the roll is 0.025 m/s.
Step-by-step explanation:
We have a roll that has an angular velocity of
The tangent velocity (of the edge of the roll) can be calculated as
The velocity in the border of the roll is 0.025 m/s.
Triangles with height and base
, with
have area
.
Such cross sections with the base of the triangle in the disk (a disk with radius 5) have base with length
i.e. the vertical (in the plane) distance between the top and bottom curves describing the circle
.
So when , the cross section at that point has base
so that the area of the cross section would be 6^2/2 = 18.
In case it's relevant, the entire solid would have volume given by the integral