Math Problem Statement

A block of wood (SG = 0.6) floats in a fluid such that 70% of its volume is submerged in the fluid. The dimensions are given: fluid depth is 70 cm, and the wood block extends 40 cm above the fluid. Estimate the vacuum pressure of the air in the tank.

Solution

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Meanwhile, here are some mathematical concepts that might be useful:

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Math Problem Analysis

Mathematical Concepts

Buoyancy
Fluid Mechanics
Specific Gravity

Formulas

Buoyancy force = Weight of the displaced fluid = ρ_fluid * g * V_submerged
Specific Gravity (SG) = ρ_object / ρ_water
Pressure = Force / Area

Theorems

Archimedes' Principle

Suitable Grade Level

Grades 11-12, College Physics