2. The earth’s rotation about its axis changes measurably over time; see https://en.wikipedia.org/wiki/Leap_second and https://en.wikipedia.org/wiki/Tidal_acceleration for details if you wish. You don’t have to worry about the details; all you need to know is that our days are growing longer by about 2.3 milliseconds per century. Assume this is due to some uniform angular acceleration.
A. What is the angular acceleration ? = d?/dt associated with this slowing?
B. If this acceleration continues at this same constant rate indefinitely, how long will it take for the earth to stop spinning on its axis? (It won’t go past this point and start spinning in the opposite direction. In fact, for a couple of reasons, it won’t even stop spinning.)
C. How many complete rotations will occur before the earth stops spinning?
D. Days will get longer as the earth slows, as long as we define a day as the time between sunrises. How long will it be before a day is 1 second longer than it is now (= 86400 seconds)?