Question

A centrifuge rotor has a moment of inertia of 5.50×10−² kg⋅m²

What is the question asking?
a) Find the angular velocity of the rotor
b) Determine the torque applied to the rotor
c) Calculate the linear velocity of the rotor
d) Identify the mass of the rotor

Answer 1

The question is asking for the moment of inertia of the system, which consists of a disk and an annular cylinder. To calculate the moment of inertia, we need to consider the mass and dimensions of each component.

Step-by-step explanation:

The question is asking for the moment of inertia of the system. In this case, the system consists of a disk and an annular cylinder. To calculate the moment of inertia, we need to consider the mass and dimensions of each component. The moment of inertia of the disk can be calculated using the formula I = (1/2) * m * r^2, where m is the mass of the disk and r is its radius.

The moment of inertia of the annular cylinder can be calculated using the formula I = (1/2) * m * (r_outer^2 - r_inner^2), where m is the mass of the annular cylinder, r_outer is the outer radius, and r_inner is the inner radius. Once we have calculated the moment of inertia for each component, we can add them together to find the moment of inertia of the system.