A planet orbits a star once every 2.90 x 10^7 s in a nearly circular orbit of radius 1.66 x 10^11 m.
(a) With respect to the star, determine the angular speed of the planet.
(b) With respect to the star, determine the tangential speed of the planet.
(c) With respect to the star, determine the magnitude and direction of the planet's centripetal acceleration.