Conversion from 3 Microseconds to Milliseconds

Information about the Microsecond (µs)

The microsecond is a unit of time equal to one millionth of a second, or one thousandth of a millisecond. Its symbol is µs, written with the Greek letter mu, and the form us appears where that character is inconvenient to type.

It sits below the threshold of human experience entirely. Nothing a person does or perceives happens on this scale, so the unit belongs wholly to instruments. Light travels about three hundred metres in a microsecond, roughly the length of three football pitches, which sets a hard floor on how fast any signal can cross a room, a circuit board or a continent.

Satellite navigation depends on measuring it accurately. A receiver works out its position from the arrival times of signals from several satellites, and an error of one microsecond in that timing translates into a position error of about three hundred metres. This is why the satellites carry atomic clocks and why the system corrects for relativistic effects: the clocks in orbit run measurably faster than clocks on the ground, by about thirty-eight microseconds a day, and without that correction navigation would drift by kilometres within hours.

Electronics works comfortably at this scale. The switching time of a power transistor, the pulse width in radar, the interval between samples in high-speed data acquisition and the response of an analogue-to-digital converter are all quoted in microseconds. A microcontroller running at one megahertz completes one instruction cycle per microsecond, which makes the unit the natural currency of embedded timing.

Physics and chemistry use it for processes that are fast but not extreme. Muons produced in the upper atmosphere have a mean lifetime of about 2.2 microseconds, and the fact that they reach the ground at all is a direct experimental demonstration of time dilation. Some fluorescence decays, gas-phase reactions and shock-wave phenomena also occupy this range.

Audio engineering encounters it in digital sampling. At the standard rate of 44,100 samples per second, one sample lasts about 22.7 microseconds, and the timing jitter that degrades converter performance is measured in fractions of that.

One microsecond equals 0.000001 seconds, 0.001 milliseconds, or 1000 nanoseconds.

Information about the Millisecond (ms)

The millisecond is a unit of time equal to one thousandth of a second. Its symbol is ms. It is the shortest interval that people encounter by name in everyday life, largely because computing and networking made it a household measurement.

Human perception sets the scale that makes it interesting. The eye fuses separate images into motion somewhere around forty milliseconds apart, which is why cinema at twenty-four frames a second works. Audio is far less forgiving: a delay of more than about ten milliseconds between a musician's action and the sound they hear is enough to disrupt playing, and stereo direction is judged from arrival-time differences between the ears of well under one millisecond.

Network latency is quoted in milliseconds and is the number that determines whether a connection feels responsive. Light travels about three hundred kilometres in a millisecond in fibre, so intercontinental round trips have an irreducible floor: London to New York cannot go below roughly sixty milliseconds no matter how much is spent on equipment. Competitive online gaming, financial trading and video calling are all shaped by that limit.

Reaction time is measured in the same unit. A trained sprinter responds to a starting gun in around 150 milliseconds, and athletics rules treat anything below 100 milliseconds as a false start on the grounds that no human can react faster. Simple visual reaction times in a laboratory typically fall between 200 and 250 milliseconds.

Computing uses milliseconds as the natural unit for anything involving storage or human interaction. A mechanical hard disk seeks in several milliseconds while a solid-state drive answers in a fraction of one, a difference of two orders of magnitude that explains most of the change in how computers feel over the last two decades. Timestamps in most programming environments count milliseconds since the start of 1970.

Photography borrows it for shutter speeds, where a thousandth of a second is a common setting for freezing motion, and physiology uses it for the duration of a nerve impulse, which lasts one to two milliseconds.

One millisecond equals 0.001 seconds, 1000 microseconds, or one 3,600,000th of an hour.