Why is second common in all system of units
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second: The unit of time is second. Its symbol is 's'. 1 second is a time duration of 9,192,631,770 periods of the radiation corresponding to the transition between two hyperfine levels of the ground state of the Cesium-137 atom.
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It is called a second (not a first) because a second is qualitatively defined as the second class of division of an hour by sixty. A minute is the first division or class of dividing an hour by sixty. It means that: (1) we divide an hour by sixty to get a minute, and then (2) we divide the minute to get the second.
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