Question

On Jupiter a day lasts for 9.9 earth hours and the circumference at the equator is
448600 km. If the measured value of gravitational acceleration at the equator is 24 6. ms ,−2
what is the true gravitational acceleration and the centrifugal acceleration.

Answer 1

Answer on Question 48838, Physics, Mechanics — Kinematics — Dynamics On Jupiter a day lasts for 9.9 earth hours and the circumference at the equator is 448600 km. If the measured value of gravitational acceleration at the equator is 24.6 ms ,-2 what is the true gravitational acceleration and the centrifugal acceleration.

Solution

Angular velocity is

$\nu=\frac{2\pi}{9.9\cdot 3600}\approx 0.000028\cdot 2\pi\,s^{-1}$

Hence, centrifugal acceleration is

$a=\nu^{2}r=0.000176\cdot\frac{448600\cdot 10^{3}}{2\pi}\approx 0.353m/s^{2}$

True gravitational acceleration then is

$g=24.6-0.353\approx 24.2m/s^{2}$

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