The acceleration of gravity on the surface of Venus is 8.75 m / s ^ 2. Determinant of the radius of Venus.
| February 22, 2021 | education
The acceleration of gravity on the surface of Venus is 8.75 m / s ^ 2. Determinant of the radius of Venus. The mass of Venus is 4.88 * 10 ^ 24kg.
To find the value of the radius of Venus, we will use the formula: gw = G * Mw / Rw ^ 2, whence we express: Rw = √ (G * Mw / gw).
Variable values: G – gravitational constant (G ≈ 6.67 * 10 ^ -11 m2 / (s2 * kg)); Mw is the mass of Venus (according to the condition Mw = 4.88 * 10 ^ 24 kg); gv – acceleration of gravity on Venus (by condition gv = 8.75 m / s2).
Calculation: Rw = √ (G * Mw / gw) = √ (6.67 * 10 ^ -11 * 4.88 * 10 ^ 24 / 8.75) = 6099.1 * 10 ^ 3 m = 6099.1 km …
Answer: The radius of Venus, according to the calculation, is 6099.1 km.
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