The drum of the centrifuge for spinning linen rotates uniformly with a frequency of v = 600 rpm. Drum diameter d

The drum of the centrifuge for spinning linen rotates uniformly with a frequency of v = 600 rpm. Drum diameter d = 40 cm. Determine the period and angular speed of rotation of the drum. Find the linear velocity modulus of points on its surface.

Let us express the frequency ν in revolutions per second:

ν = 600 min-1 = 10 s-1.

Find the period T:

T = 1 / ν = 1/10 s-1 = 0.1 s.

Find the angular velocity ω:

ω = 2πν = 2 * 3.14 * 10 s-1 = 62.8 s-1.

Linear velocity module of the points of the drum on its surface V:

V = ωR = ω * (d / 2) = 62.8 s-1 * (0.4 m / 2) = 12.8 m / s.

Answer: Period T = 0.1 s, angular velocity ω = 62.8 s-1, linear velocity module V = 12.8 m / s