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A wood circular cylinder having a specific gravity s of 054

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Reference no: EM13371352

A wood circular cylinder, having a specific gravity, S, of 0.54, floats in water as shown in Figure P4.

 

488_MATLAB function.png

Figure

For a floating body, the weight of the floating body equals the weight of fluid displaced, thus

                        2391_MATLAB function1.png                    where

            S = the specific gravity of the wood.

            γw= the specific weight of water.

            R = the radius of the cylinder.

            L = the cylinder length.

            V = the volume of water displaced

              1443_MATLAB function2.png

The integral was obtained from integral tables. Substituting the limits of integration gives:

2258_MATLAB function3.png

Substituting Equation c) into Equation (a) and rearranging terms and dividing by R2 gives:

 

2284_MATLAB function4.png (d)

Create a MATLAB program that will use MATLAB's fzero function to determine d for the following parameters: R = 0.5 m and   in steps      of 0.1. Create a table consisting of S and d.

Reference no: EM13371352

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