Assuming that the earth performs unifrom circular motion around the Sun, find the centripetal acceleration of the earth. [ Speed of the earth ` = 3xx 10^(4) ` m/s. distance between the earth and the Sun ` = 1.5 xx 10^(11) ` m ]

Explanation

`v = 3 xx 10^(4) m//s, r= 1.5 xx 10^(11)` m
Centripetal force = `(mv^(2))/r= ma`
Centripetal acceleration of the Earth.
` a= v^(2)/ r= ((3xx 10^(4) m//s)^(2))/(1.5 xx 10^(11)m) = (3xx 3)/1.5 xx 10^(-3) m//s^(2) = 6 xx 10^(-3) m//s^(2)`
It is directed towards the centre of the Sun.