A steel part weighing 4.68 kg is immersed in machine oil. Calculate the Archimedean force acting
| July 2, 2021 | education
A steel part weighing 4.68 kg is immersed in machine oil. Calculate the Archimedean force acting on this part. (Density of machine oil 900 kg / m3, density of steel 7800 kg / m3)
To find the Archimedean force acting on a taken part in engine oil, we apply the formula: Fa = ρmm * g * V = ρmm * g * m / ρс.
Constants and variables: ρmm – density of machine oil (ρmm = 900 kg / m3); g – acceleration due to gravity (g ≈ 10 m / s2); m is the mass of the part (m = 4.68 kg); ρс – density of steel (ρс = 7800 kg / m3).
Calculation: Fa = ρmm * g * m / ρс = 900 * 10 * 4.68 / 7800 = 42120/7800 = 5.4 N.
Answer: An Archimedean force of 5.4 N. must act on the steel part.
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