Uniform Circular Motion

Earth also moves in circular orbit around sun once every year with an orbital radius of $1.5\times {10}^{11} \mathrm{m}$. What is the acceleration of earth (or any object on the surface of the earth) towards the centre of the sun? How does this acceleration compare with $\mathrm{g}=9·8 \mathrm{m} {\mathrm{s}}^{-2}$

Earth can be thought of as a sphere of radius $6400 \mathrm{km}$. Any object (or a person) is performing circular motion around the axis of the earth due to earth's rotation (period $1$ day). What is the acceleration of object on the surface of earth (at equator) towards its centre? What is it at latitude $\theta$ ? How does these accelerations compare with $\mathrm{g}=9.8 \mathrm{m} {\mathrm{s}}^{-2}$?

A cyclist starts from centre $O$ of a circular park of radius $1\mathrm{Km}$ and moves along the path OPRQO as shown in the figure. If he maintains the constant speed of $10{\mathrm{ms}}^{-1}$,what is his acceleration at point $R$ in magnitude and direction?

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For a particle performing uniform circular motion, choose the correct statement(s) from the following: