Question

: Assume the cell surface is not slipping along the endothelium (the velocity of the point of contact is zero with respect to a stationary reference frame). What is the translational velocity of the cell in terms of radius and angular velocity

Answer 1

v = rω

Step-by-step explanation:

The arc length covered in circular motion is related to the central angle turned by the body, through following equation or relation:

s = rθ

where,

s = arc length or linear displacement

r = radius of the path

θ = central angle turned by body

here, we have a cell surface that is slipping along endothelium and follows a circular path with radius r. So, we can apply the given relation here:

s = rθ

taking derivative on both sides with respect to time we get:

(ds/dt) = r dθ/dt

v = rω

where,

v = translational velocity

ω = angular velocity