Days to Seconds (d to s)

The day (d) is exactly 86,400 seconds (24 hours × 3600 seconds per hour) by SI civil-day definition, fixed by the 1967 atomic-clock SI second standard. The recognised symbol is "d" (lowercase) under ISO 80000-3 conventions. The day is not part of the SI base units but is recognised by NIST and BIPM as a non-SI unit accepted for use with the SI. The civil-day at 86,400 s differs slightly from the astronomical solar-day (which varies seasonally due to Earth's elliptical orbit, averaging 86,400.002 SI seconds) and from the sidereal-day (86,164.09 SI seconds, the rotation period relative to distant stars). The IERS leap-second system absorbs the small difference between civil-day and astronomical-day length to maintain UTC within ±0.9 s of UT1. Sub-day precision uses hours, minutes and seconds; super-day precision uses weeks, months and years.

The day as a unit of time has been preserved unchanged across human history as the fundamental natural-time-cycle defined by Earth's rotation relative to the Sun (the solar day, averaging 24 hours over a year due to Earth's elliptical orbit) or relative to distant stars (the sidereal day, exactly 23 hours 56 minutes 4.0905 seconds = 86,164.0905 SI seconds). The civil "day" of timekeeping is fixed at exactly 86,400 SI seconds (24 hours × 60 minutes × 60 seconds) by the 1967 SI second-definition, with the small difference between civil-day length and astronomical-day length absorbed into the leap-second system maintained by the International Earth Rotation and Reference Systems Service (IERS). Leap seconds are inserted (or hypothetically deleted) into UTC at irregular intervals to maintain UTC within ±0.9 seconds of UT1 (a measure of Earth-rotation-based time). Like hours and minutes, the day is not part of the SI base units but is recognised by NIST and BIPM as a non-SI unit accepted for use with the SI in everyday-time-keeping, scheduling, and biological-and-medical contexts.

Everyday timekeeping and calendar systems: every modern calendar (Gregorian, Islamic, Hebrew, Chinese, Persian) denominates dates in days alongside months and years. Civil-time scheduling, meeting-and-event scheduling, and casual time-references all use days universally. Biological-and-medical research: medication-dose intervals (twice daily, once daily, every other day), clinical-trial follow-up schedules (Day 1, Day 7, Day 28 standard timepoints), pregnancy gestational-age tracking (typical 280 days from last menstrual period), and chronic-disease progression monitoring all use days as the natural time-unit for biological processes. Astronomy and space-science: orbital-mechanics calculations (planetary orbital periods in days, satellite-orbit periods in fractions of a day), space-mission-scheduling (Apollo missions in days, Mars-rover-mission time in sols-or-days), and astronomical-observation scheduling all use days as the natural time-unit for celestial-mechanics work. Employment and payroll: salary-quotation systems (US per-day rates for contractors, UK locum-medical-doctor day rates, freelancer day-rate quotations) use the day as the natural employment-time unit. Typical professional contractor day-rate is £400-£800 in the UK; salary-equivalent annual figures translate from per-day rates times typical 230 working days per year (260 weekday-days minus 30 holidays).

The second (s) is the SI base unit of time, defined since 1967 as exactly 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom (the Cs-133 hyperfine transition at 9.192631770 GHz). The 2019 SI redefinition preserved this atomic-clock definition. The recognised SI symbol is "s" (lowercase, italics-disambiguated when needed). The second is the foundational unit for all other SI time-related units (the hertz at 1/s, the becquerel at 1/s for radioactive decay, the SI joule via 1 J = 1 N·m and the metre is defined via the speed of light × the second). Atomic clocks based on the caesium-133 transition currently achieve precision better than 1 part in 10^15, with the most-recent optical-lattice atomic clocks (Sr-87, Yb-171) approaching 1 part in 10^18 precision. The second is preserved unchanged across every modern timekeeping context, scientific publication, and engineering specification.

The second has been preserved unchanged in concept since Babylonian astronomy in the third millennium BC, where the day was divided into 24 hours, each hour into 60 minutes, and each minute into 60 seconds — the sexagesimal time-division system that survives globally today. The modern SI second was redefined in atomic terms at the 13th CGPM in 1967 as "the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom" at zero magnetic field and at rest at 0 K. The atomic-second definition replaced the older astronomical-second definition (1/86,400 of a mean solar day, since 1820) which was based on Earth's rotation rate and therefore subject to the slow secular slowdown of Earth's rotation due to tidal friction. The 2019 SI redefinition preserved the atomic-second definition as the fundamental SI base unit of time, with all other SI units (metre, kilogram, ampere, kelvin, mole, candela) anchored to defined fundamental constants traceable through the second. The second is the SI base unit of time and the universal primary unit across physics, engineering, atomic-clock metrology, GPS, and modern timekeeping.

Atomic-clock metrology and GPS: every modern atomic clock (caesium-fountain primary clocks at NIST, NPL, PTB, NMIJ; optical-lattice clocks at JILA, Riken, NPL) measures time in seconds with precision better than 1 part in 10^15. GPS satellites carry caesium and rubidium atomic clocks for nanosecond-precision timing, with the GPS-time-system traceable to UTC (Coordinated Universal Time) maintained by atomic clocks at BIPM in Paris. Physics-laboratory and engineering measurement: every modern physics-laboratory measurement involving time denominates in seconds for the SI-canonical primary documentation. Particle-physics decay-rate measurements, fluid-dynamics oscillation-period analysis, mechanical-engineering vibration-period analysis, and atomic-physics-spectroscopy lifetime measurements all use seconds. Sports timing and athletic-record certification: every IAAF-sanctioned (now World Athletics) athletics-meet timing system (Hamamatsu Photonics, Omega Timekeeping, Seiko Sports Timing) measures sport-event times in seconds with millisecond precision (Usain Bolt 100m world record 9.58 s; Eliud Kipchoge marathon world record 2:01:09 = 7269 s). Computing and electronics: every modern computer-system clock denominates time in seconds and sub-second multiples (clock cycles at GHz = billion-per-second, system-time in nanoseconds for high-precision events, kernel-time in microseconds for OS scheduling). Sub-second precision is universally required across modern computing systems.