Question

A 1-inch US standard washer has an inner radius "r" and an outer radius "R." The washer is approximately "t" thick, with a density of "D." Calculate the moment of inertia of the washer about an axis perpendicular to the plane and passing through its center of mass.

a) (I = 13 π D (R^4 - r^4))
b) (I = 12 π D (R^4 - r^4))
c) (I = 112 π D (R^4 - r^4))
d) (I = 14 π D (R^4 - r^4))

Answer 1

The given answer options for calculating the moment of inertia of a washer all seem to be missing the factor of thickness (t), so none of the choices perfectly match the formula for a washer's moment of inertia.

Step-by-step explanation:

The question is related to Physics, specifically to the concept of moment of inertia, which is a measure of an object's resistance to changes in its rotation rate. When calculating the moment of inertia (I) of a washer, which is a thin disk with an inner hole, about an axis perpendicular to the plane and passing through its center of mass, the formula that should be used is I = (1/2) π D t (R&sup4; - r&sup4;), where D is the density, t is the thickness, and R and r are the outer and inner radii, respectively. However, none of the given answer choices match this formula exactly, and they may have omitted the thickness (t) in the options, so you should clarify the question with your instructor before proceeding.