Question

A test tube filled with blood is spinning in a centrifuge. A platelet is pinned to the end of the test tube, a distance of 0.31 m from the axis of rotation for the centrifuge. As the centrifuge speeds up, the angular displacement for the platelet as a function of time is given by:

Answer 1

Answer:

θ = 3.2 vt

Explanation:

In order to find expression for angular displacement as a function of time, we will use the relationship between linear and angular velocity:

v = rω

where,

v = linear velocity

r = radius = distance from axis = 0.31 m

ω = Angular Velocity = Angular Displacement/time = θ/t

Therefore,

v = (0.31)θ/t

θ = vt/0.31

θ = 3.2 vt