Given the orbital period and distance of one of Jupiter's moons, the mass of Jupiter, its density, and the gravitational acceleration on its surface need to be calculated. What is the magnitude of the centrifugal force at Jupiter's equator?
Considering the remarks of problem 1142:

Jupiter's mass $M=\frac{a R^{2}}{f}$, where $a$ is the acceleration of Jupiter's named moon towards the central body, and $R$ is the radius of the moon's orbit. However,

$$
a=\frac{4 \pi^{2} R}{T^{2}} \quad \text { and } \quad M=\frac{4 \pi^{2} R^{3}}{f \cdot T^{2}}
$$

where $T$ is the orbital period of the respective moon.

$$
M=1.94 \times 10^{30} \mathrm{gr} .
$$

density

$$
\sigma=\frac{M}{V}=1.33
$$

The gravitational acceleration on its surface

$$
g_{1}=f \frac{M}{\rho^{2}}
$$

where $\rho$ is the radius of Jupiter,

$$
g_{1}=2600 \frac{\mathrm{cm}}{\mathrm{sec}^{2}}
$$

The centrifugal force at the equator

$$
C f=\frac{4 \pi^{2} \rho}{T^{2}}=217 \mathrm{dyn}
$$

(Imre Csada, Pápa.)

The problem was also solved by: L. Bánó, H. Fodor, R. Földes, A. Haar, Gy. Jánosy, O. Szilas, I. Székely.