A piece of aluminum weighing 400 g was immersed in gasoline. What is the Archimedean force acting on a piece?
| December 16, 2020 | education
A piece of aluminum weighing 400 g was immersed in gasoline. What is the Archimedean force acting on a piece? The density of aluminum is 2700 kg / m 3, the density of gasoline is 710 kg / m 3.
Archimedean (Fa) force is found by the formula
Fa = g * pzh * Vt
To find Vt (volume of a submerged body), we need to derive it from the formula
pt = m / Vt
We output and it turns out
Vt = m / pt
Now we substitute this under the formula for finding the force of Archimedes
Fa = g * pzh * m / pt
It remains only to substitute the values, but first it costs 400 grams to be converted into kilograms, and it turns out 0.4 kg
Fa = 9.8 * 700 * 0.4 / 2700 = 1.01 (H)
Answer: Fa = 1.01 (H)
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