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

Data : `v=3xx10^(4)m//s, r=1.5xx10^(11)m`
Centripetal force, `=(mv^(2))/(r)=ma`
`therefore` Centripetal acceleration of the earth,
`a=(v^(2))/(r)=((3xx10^(4)m//s)^(2))/(1.5xx10^(11)m)=(3xx3)/(1.5)xx10^(-3)m//s^(2)`
`=6xx10^(-3)m//s^(2)`
It is directed towards towards the centre of the Sun.