cps Calculator

Convert counts per second to per minute, per hour, hertz, rpm and back — with the period.

Clear
Counts per second10 cps10 Hz — the same thing
Per minute600cpm, rpm or bpm
Per hour36,000
Period0.1 s100 ms between counts
Over 60 s600 counts

The same rate over longer spans

IntervalCounts
Per second10
Per minute600
Per hour36,000
Per day864,000
Per week6,048,000
Per year315,569,520

cps and hertz are the same unit

One count per second is one hertz. Hz is the SI name for "per second" applied to anything periodic, so 10 cps and 10 Hz are identical — the different names are conventions of different fields, not different quantities.

The conversions are all factors of 60:

per minute = cps × 60   per hour = cps × 3600

Rate and period are reciprocals

period = 1 ÷ rate

10 cps means one count every 0.1 seconds. This is the one that trips people up: halving the period doubles the rate, so the relationship is not linear. A rate of zero has no defined period, and a period of zero has no defined rate.

Where each name is used

  • cps — radiation counters, click-speed tests, particle detectors.
  • Hz — physics and engineering, for waves and oscillators.
  • rpm — anything rotating. 3,000 rpm is 50 Hz.
  • bpm — heart rate and music tempo. A resting pulse of 60 bpm is exactly 1 Hz.
  • cpm — Geiger counters and industrial counting.

For radiation, counts per second is what the instrument detects — not a dose. Converting counts to sieverts needs the detector's efficiency and the energy of the radiation.