Question

A grinding wheel is a uniform cylinder with a radius of 8.65 cm and a mass of 0.400 kg . Calculate its moment of inertia about its center.

Answer 1

I = 1.5*10⁻³ kg*m²

Step-by-step explanation:

• It can be showed that the moment of inertia (or rotational inertia) for a uniform cylinder of mass m and radius r, respect an longitudinal axis going through its center (parallel to the height of the cylinder) can be written as follows:

`I = (1)/(2)*m*r^(2) = (1)/(2)*0.400 kg*(0.0865m)^(2) = 1.5e-3 kg*m2`