When weighing a body in air, the dynamometer shows 4.4 and in water – 1.6 H. Determine the volume of the body.

univerkov | May 31, 2021 | education

Data: P1 (body weight when weighed in air) = 4.4 N; P2 (body weight when weighed in water) = 1.6 N.

Constants: g (acceleration due to gravity) ≈ 10 m / s2; ρw (water density) = 1000 kg / m3.

1) Calculate the Archimedean force: Fa = P1 – P2 = 4.4 – 1.6 = 2.8 N.

2) Calculate the volume of the body: Fa = ρw * g * V, whence V = Fa / (ρw * g) = 2.8 / (1000 * 10) = 280 * 10-6 m3 or 280 cm3.

Answer: The volume of the weighed body is 280 cm3.

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