If 1.0 m^3 of concrete weighs 5.0 ×10^4 N, what is the height of the tallest cylindrical concr

Name: Problem 19, Chapter 9: College Physics
Uploaded: 2021-08-30T04:38:39-08:00
Duration: 1 min 5 s
Channel: Prabhu Ramji
Description: If 1.0 m^3 of concrete weighs 5.0 ×10^4 N, what is the height of the tallest cylindrical concrete pillar that will not collapse under its own weight? The compression strength of concrete (the maximum pressure that can be exerted on the base of the structure) is 1.7 ×10^7 Pa.

step 1 This problem covers the concept of the hydrostatic pressure by incompressible liquid. The gauge

Question

If $1.0 \mathrm{~m}^{3}$ of concrete weighs $5.0 \times 10^{4} \mathrm{~N}$, what is the height of the tallest cylindrical concrete pillar that will not collapse under its own weight? The compression strength of concrete (the maximum pressure that can be exerted on the base of the structure) is $1.7 \times 10^{7} \mathrm{~Pa}$.

   If $1.0 \mathrm{~m}^{3}$ of concrete weighs $5.0 \times 10^{4} \mathrm{~N}$, what is the height of the tallest cylindrical concrete pillar that will not collapse under its own weight? The compression strength of concrete (the maximum pressure that can be exerted on the base of the structure) is $1.7 \times 10^{7} \mathrm{~Pa}$.

College Physics

Raymond A. Serway,… 8th Edition

Chapter 9, Problem 19

Instant Answer

Solved by Expert Prabhu Ramji

08/30/2021

Step 1

Step 1: First, we need to understand that the pressure at the base of the pillar is given by the equation $P = \rho g h$, where $\rho$ is the density of the concrete, $g$ is the acceleration due to gravity, and $h$ is the height of the pillar. Show more…

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If $1.0 \mathrm{~m}^{3}$ of concrete weighs $5.0 \times 10^{4} \mathrm{~N}$, what is the height of the tallest cylindrical concrete pillar that will not collapse under its own weight? The compression strength of concrete (the maximum pressure that can be exerted on the base of the structure) is $1.7 \times 10^{7} \mathrm{~Pa}$.

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Key Concepts

Weight Density

Weight density is the weight per unit volume of a material. In structural problems, it is used to calculate the gravitational force that a material exerts over its volume, which in turn determines the pressure or stress at a particular point within a structure.

Pressure

Pressure is defined as force acting per unit area. In the context of a vertical column or pillar, the pressure at the base is the result of the weight of the material above, and it must be kept below the material's maximum allowable stress to ensure stability.

Compressive Strength

Compressive strength is a material property that indicates the maximum compressive stress a material can withstand without failing. For concrete pillars, the compressive strength dictates the highest pressure that can be safely applied at the base without causing structural collapse.

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