Question

Moment of inertia of a pyramid The Great Pyramid of Giza has a square base, with each side measuring 230 m and it tapers uniformly to an apex 147 m above the base. Let us estimate its mean density as 2500 kg/m^3 , which is on the lighter side of typical for limestone, but ignores the missing mass of any inner chambers What is its moment of inertia about a vertical axis through the apex? What is its moment of inertia about a vertical axis through a corner?

Name: moment of inertia of a pyramid the great pyramid of giza has a square base with each side measuring 230 m and it tapers uniformly to an apex 147 m above the base let us estimate its mean de 58833
Uploaded: 2023-12-08T19:59:15-08:00
Duration: 2 min 34 s
Channel: Supreeta N
Description: moment of inertia of a pyramid the great pyramid of giza has a square base with each side measuring 230 m and it tapers uniformly to an apex 147 m above the base let us estimate its mean de 58833

          Moment of inertia of a pyramid The Great Pyramid of Giza has a square base, with each side measuring 230 m and it tapers uniformly to an apex 147 m above the base. Let us estimate its mean density as 2500 kg/m^3 , which is on the lighter side of typical for limestone, but ignores the missing mass of any inner chambers What is its moment of inertia about a vertical axis through the apex? What is its moment of inertia about a vertical axis through a corner?

Added by Tiffany M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supreeta N

12/08/2023

Step 1

The volume of a pyramid is given by V = (1/3)Bh, where B is the area of the base and h is the height. In this case, B = (230 m)^2 = 52,900 m^2 and h = 147 m. Therefore, V = (1/3)(52,900 m^2)(147 m) = 2,521,100 m^3. The mass of the pyramid is then given by m = Show more…

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Moment of inertia of a pyramid The Great Pyramid of Giza has a square base, with each side measuring 230 m and it tapers uniformly to an apex 147 m above the base. Let us estimate its mean density as 2500 kg/m^3 , which is on the lighter side of typical for limestone, but ignores the missing mass of any inner chambers What is its moment of inertia about a vertical axis through the apex? What is its moment of inertia about a vertical axis through a corner?