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Identify the quantities determined by the integral expressions in Exercises 19–24. If x, y, and z are all measured in centimeters and ρ(x, y,z) is a density function in grams per cubic centimeter on the three-dimensional region , give the units of the expression.

Ωx2+z2ρ(x,y,z)dV

Short Answer

Expert verified

Quantity: radii of gyration

Unit : square centimeter.

Step by step solution

01

Step 1. Given information.

Given:

Ωx2+z2ρ(x,y,z)dV

We have to identify the quantities determined by the given integral expression.

02

Step 2. Identify the quantity

The objective of the problem is to describe about the triple integral Ωx2+z2ρ(x,y,z)dVand find its units.

The given relation represents the radii of gyration and its unit is square centimeter.

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