What is the acceleration of Uranus as it moves in its circular orbit around the

Question

What is the acceleration of Uranus as it moves in its circular orbit around the Sun? Hint: You will find some useful date in the table below.
m/s2

     NAME
MEAN
ORBITAL
RADIUS
(1011 m)
ORBITAL
PERIOD
(years)
RADIUS
(106 m)
MASS
(1024 kg)
ORBITAL
ECCENTRICITY      Mercury      0.579      0.240      2.44      0.330      0.21 Venus 1.08 0.615 6.05 4.87 0.007 Earth 1.50 1.00 6.37 5.98 0.017 Mars 2.28 1.88 3.39 0.644 0.093 Jupiter 7.78 11.9 71.5 1900 0.048 Saturn 14.3 29.4 60.3 568 0.054 Uranus 28.7 83.8 25.6 86.6 0.047 Neptune 45.0 164 24.8 102 0.009 Pluto 59.1 248 1.14 0.125 0.25 Eris 100 560 2.4

Explanation / Answer

For Uranus from the chart:

Time period of revolution, T=83.8yrs

=83.8*365*24*3600 sec

=2.643*109 sec

Angular speed, ?=2*pi /Time period

=2*3.14/2.643*109

=2.377*10-9 rad/sec

Mean radius, R= 28.7*1011 m

Acceleration a= ?2*R

=(2.377*10-9)2*28.7*1011

=1.622*10-5 m/s2

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