A log floats in water, immersed in 2/5 of its volume. What is the density of a tree?
| May 27, 2021 | education
To calculate the density value of the wood of the specified log, we use the formula: Ft – Fa = 0 and m * g + ρw * g * Vlim = ρdr * V * g + ρw * g * Vlim = 0, whence we express: ρdr = ρw * g * Vlim / (V * g) = ρw * Vlim / V.
Data: ρw is the density of the water in which the specified log is floating (ρw = 1000 kg / m3); Vlim – the volume of the submerged part of the log (Vlim = 2/5 V).
Calculation: ρdr = ρw * Vlim / V = 1000 * 2/5 V / V = 400 kg / m3.
Answer: The wood of the specified log has a density of 400 kg / m3.
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