Exahertz to Radians per second Converter — EHz to rad/s

Convert Exahertz (EHz) to Radians per second (rad/s) using the exact conversion factor (1 exahertz = 6.283185e+18 radians per second). See the formula, worked examples, and conversion table.

Exahertz to Radians per second converter

Converter

Frequency Converter

Convert hertz, SI frequency prefixes, RPM, beats per minute, and angular frequency.

Result 1 exahertz = 6.283185e+18 radians per second
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From definition

Exahertz is 1000000000000000000 hertz units.

To definition

Angular frequency converted by one revolution equals 2*pi radians.

Formula

Result = input x 1e+18 / 0.1591549431.

Frequency uses hertz as the base unit.

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About Converting Exahertz to Radians per second

Exahertz and Radians per second both describe how fast something cycles or rotates, and the conversion is a routine part of reading a car tachometer or motor spec sheet against a scientific frequency figure. Specifically: Exahertz is 1000000000000000000 hertz units, and angular frequency converted by one revolution equals 2*pi radians.

Formula

radians per second = exahertz × 6.283185e+18

This factor comes from each unit's defined relationship to the category's base unit: 1 exahertz equals 1e+18 base units, and 1 radians per second equals 0.159154943092 base units, so dividing one by the other gives the direct exahertz-to-radians per second factor of 6.283185e+18.

Simple example

1 EHz × 6.283185e+18 = 6.283185e+18 rad/s

1 exahertz = 6.283185e+18 radians per second.

Real-world example

1,000 EHz × 6.283185e+18 = 6.283185e+21 rad/s

1,000 exahertz = 6.283185e+21 radians per second.

Conversion table

Exahertz (EHz)Radians per second (rad/s)
60 EHz3.769911e+20 rad/s
600 EHz3.769911e+21 rad/s
1,000 EHz6.283185e+21 rad/s
3,000 EHz1.884956e+22 rad/s
6,000 EHz3.769911e+22 rad/s
10,000 EHz6.283185e+22 rad/s

Reverse conversion: Radians per second to Exahertz

6.283185e+18 rad/s × 1.591549e-19 = 0.9999999511 EHz

6.283185e+18 radians per second = 0.9999999511 exahertz.

exahertz = radians per second × 1.591549e-19

For a page dedicated to this direction, see Radians per second to Exahertz.

Understanding the Exahertz (EHz)

Exahertz is 1000000000000000000 hertz units.

Understanding the Radians per second (rad/s)

Angular frequency converted by one revolution equals 2*pi radians.

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Frequently asked questions

How many radians per second are in 1 exahertz?

1 exahertz equals 6.283185e+18 radians per second, using the exact defined conversion factor rather than an estimate.

How do I convert exahertz to radians per second?

Multiply the exahertz value by 6.283185e+18. The converter above does this instantly to whatever precision you set.

How do I convert radians per second back to exahertz?

Use the reverse factor: 1 radians per second equals 1.591549e-19 exahertz. You can also use the swap control in the converter above to flip the direction instantly.

What is a exahertz?

Exahertz (EHz) is a unit of frequency.

What is a radians per second?

Radians per second (rad/s) is a unit of frequency.

Is the exahertz to radians per second conversion exact?

Yes. Both exahertz and radians per second are defined by fixed standards rather than physical artifacts, so the factor of 6.283185e+18 used above is exact to as many digits as you choose to display.