Reference no: EM1382411
A wood circular cylinder, having a specific gravity, S, of 0.54, floats in water as shown in Figure P4.
Figure
For a floating body, the weight of the floating body equals the weight of fluid displaced, thus
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
The integral was obtained from integral tables. Substituting the limits of integration gives:
Substituting Equation c) into Equation (a) and rearranging terms and dividing by R2 gives:
(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.
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: 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 .
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