阿基米德浮力计算器

F_b = ρ_f·g·V

Compute the buoyant force acting on an immersed or floating body from the density of the displaced fluid and the displaced volume using F = ρ·g·V, for ships, buoys and submerged structures.

📐 计算公式
浮力 F_b = ρ_f × g × V(阿基米德原理,ρ_f 为液体密度、V 为排开体积、g 为重力加速度);另输出排开液体质量 = ρ_f×V(kg,×1000 折算克数)。校验:无强校验,数值缺省按 0。判据:浮力与排开体积和液体密度均成正比,数值上等于排开液体所受的重力。

排开流体重量等于浮力。

🧪 常见液体浮力对比(按当前 V 与 g)

Formula & Standard References

ItemFormulaSource / Standard
Buoyant force F = rho·g·V Archimedes principle
Displaced volume V = m/rho or submerged volume displacement
Float or sink Object density vs fluid density buoyancy criterion
📌 计算说明
  • F_b = ρ_f g V。
  • 浮力等于排开液重。

📐 Physical Constants

Constants used on this page and their authoritative sources, for verification and citation

Constant Value Unit Source
Standard acceleration of gravity g_n 9.80665 m·s⁻² ISO 80000-3 / BIPM conventional value (exact)
Density of pure water (4 ℃) 999.972 kg·m⁻³ IAPWS-95 formulation
Density of pure water (20 ℃) 998.207 kg·m⁻³ IAPWS-95 formulation
Density of standard seawater 1025 kg·m⁻³ UNESCO EOS-80 typical value (page default)
Density of dry air (20 ℃, 1 atm) 1.204 kg·m⁻³ ISO 2533 / CIPM air-density formula

Note: liquid density varies with temperature, salinity and pressure; use the IAPWS-95 (water) or TEOS-10 (seawater) equation of state for precision work.

📚 深度解析:浮力(阿基米德)

💡 常见使用场景

公式
Fb = rho_f * g * V_sub(排开流体重量)。例:1 m3 木块全浸水中 Fb=1000*9.81*1=9810 N。
沉浮
物体平均密度大于流体则沉,等于则悬,小于则浮。

❓ 常见问题(FAQ)

浮力与深度?
同浸没体积下与深度无关(静液压强差恒定)。
船为何浮?
船体平均密度(含空舱)小于水。