An early method of measuring the speed of light makes use of a rotating slotted wheel. a beam of light passes through a slot at the outside edge of the wheel, travels to a distant mirror, and returns to the wheel just in time to pass through the next slot in the wheel. one such slotted wheel has a radius of 5 cm and 500 slots at its edge. measurements taken when the mirror was l = 500 m from the wheel indicated a speed of light of 3.0 x10^5 km/s.. what was the (constant) angular speed of the wheel? . (b) what was the linear speed of a point on the edge of the wheel?

To place a communications satellite into a geosynchronous orbit at an altitude of 22,240 mi above the surface of the earth, the satellite first is released from a space shuttle , which is in a circular orbit at an altitude of 185 mi, and then is propelled by an upper-stage booster to its final altitude. as the satellite passes through a, the booster's motor is fired to insert the satellite into an elliptic transfer orbit. the booster is again fired at b to insert the satellite into a geosynchronous orbit. knowing that the second firing increases the speed of the satellite by 4810ft/s, determine (a.) the speed of the satellite as it approaches b on the elliptic transfer orbit, (b.) the increase in speed resulting from the first firing at a.