1) Assume you are riding a stationary exercise bicycle, and the electronic meter indicates that the wheel is rotating at 9.62rad/s. The wheel has a radius of 0.440 m. If you ride the bike for 44.7 min, how far would you have gone if the bike could move?
2) A planet orbits a star, in a year of length 2.34 x107 s, in a nearly circular orbit of radius 1.78 x1011 m. With respect to the star, decide (a) the tangential speed of the planet, (b) the angular speed of the planet, and(c) the magnitude and direction of the planet's centripetal acceleration.