What is the formula for the weight of a fluid block?

Thread starter werson tan
Start date Feb 25, 2016
Tags

Block Fluid Weight

AI Thread Summary

The formula for the weight of a fluid block is derived from the area of a square minus the area of a quarter circle, represented as ρg[(R^2) - π(R^2)]. The "1m" refers to the weight calculation being for a 1-meter length of the shaded area in the diagram. The discussion raises a question about whether the formula should instead be expressed as ρg(π)(R^2)h. The confusion stems from the interpretation of the areas involved in the calculation. Understanding the geometric shapes is crucial for correctly applying the weight formula.

Feb 25, 2016

werson tan

Homework Statement

why the formula of weight of fluid block is given by the formula of ρg[ (R^2) - pi(R^2) ] 1?

what does the 1m mean here ?
shouldn't it = ρg (pi) (R^2) h ?
2. Homework Equations

The Attempt at a Solution

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Feb 25, 2016

BvU

Science Advisor

Homework Helper

It's a square minus a quarter circle. ##W## is the weight of 1 m length (i.e. into the paper) of the area shaded grey in the right picture in Fig 3-36.

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