A planet orbits a star, in a year of length 4.00 x 10 7 s, in a nearly circular

Question

A planet orbits a star, in a year of length 4.00 x 107 s, in a nearly circular orbit of radius 1.69 x 1011 m. With respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude and direction of the planet's centripetal acceleration.

A planet orbits a star, in a year of length 4.00 times 107 s, in a nearly circular orbit of radius 1.69 times 1011 m. With respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude and direction of the planet's centripetal acceleration. Number Units Number Units Number Units

Explanation / Answer

a.) w = 2*pi/t = 2*3.14/4*10^7 = 1.57 * 10-7 rad/sec

b.) w*r = v = 2.65 * 10^4 m/sec

c.) direction: towards center

a = w^2*r = 4.17 * 10^-3 m/sec^2

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