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Specific impulse converter

450 seconds of Isp is 4412.9925 m/s of exhaust velocity. Convert specific impulse between seconds, m/s, N·s/kg, km/s, ft/s and lbf·s/lb with standard gravity of 9.80665 m/s², for engine datasheets, Δv budgets and homework. Free in your browser.

  • Free
  • Runs in your browser
  • No sign-up
  • Your data stays on your device
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If you enter
Value
450
From
s
To
m/s
You get
Result
4,412.9925 m/s
Converted
4,412.9925
Value s
450
Value m s
4,412.9925

A specific impulse converter turns one rocket propulsion figure into another unit without spreadsheet formulas or mental g0 tables. Enter a finite value plus a source unit and a target unit among seconds, metres per second exhaust velocity, newton-seconds per kilogram, kilometres per second, feet per second, and pound-force seconds per pound; the tool returns the converted Isp, the intermediate in seconds and in m/s, the exact unit factor applied with standard gravity g0 equal to nine point eight zero six six five metres per second squared, and step-by-step substitution lines you can paste into a report. Propulsion engineers comparing engine datasheets, students converting textbook tables between SI and customary units, mission designers checking Δv budgets, and hobby rocketry builders reading mixed supplier charts all need the same deterministic path.

Which specific impulse units are supported and how conversion works

This capability converts among the everyday specific impulse units that dominate rocket engine tables, propulsion homework, and mission analysis sheets. Seconds (s) are the common Isp form defined as thrust divided by weight-flow rate and serve as the internal hub: every conversion multiplies the input by how many seconds of Isp equal one source unit, then divides by how many seconds equal one target unit.

Effective exhaust velocity in metres per second follows ve equals Isp times g0 with the exact standard acceleration of free fall nine point eight zero six six five metres per second squared, so one second of Isp is nine point eight zero six six five metres per second of ve. Newton-seconds per kilogram are dimensionally identical to metres per second and share the same factor.

Kilometres per second and feet per second are scaled exhaust-velocity forms using one thousand metres per kilometre and the exact international foot of zero point three zero four eight metres. Pound-force seconds per pound (lbf·s/lb, also accepted as lbf·s/lbm) are numerically equal to seconds under the standard-gravity definition used in English engineering practice. Same-unit requests succeed and return the input magnitude with a short message that no change of unit was required.

Practical tips, limits, and when to use this landing

Prefer sending bare numbers for value when you control the client; string numbers are accepted only when they match a strict finite numeric pattern without currency symbols or thousand separators. Round-trip checks are straightforward: convert A to B and B back to A and confirm you recover the original within the published twelve-decimal rounding.

When teaching propulsion unit analysis, pair classic examples such as four hundred fifty seconds of chemical upper-stage Isp equaling four thousand four hundred twelve point nine nine two five metres per second of exhaust velocity, and one lbf·s/lb converting one-to-one into one second. Stay inside the absolute range so intermediate second and metre-per-second values cannot overflow.

This landing targets people searching for a specific impulse converter, Isp seconds to m/s, exhaust velocity to seconds, or pound-force seconds per pound online; it is not a Tsiolkovsky rocket-equation solver, not a thrust-to-weight calculator, and not a general speed unit converter for aircraft airspeed.

Engine datasheet unit alignment

Propulsion engineers convert supplier Isp tables from seconds or lbf·s/lb into SI m/s exhaust velocity for consistent trajectory codes and finite-element propellant models.

Mission design and Δv budgets

Mission analysts convert mixed textbook and flight-report units into one Isp form before feeding rocket-equation and staging spreadsheets.

Education and hobby rocketry

Students and amateur rocketry clubs convert between seconds, ft/s, and m/s for lab reports and motor comparison charts without hand factor mistakes.

How are seconds related to exhaust velocity?

One second of Isp is therefore exactly 9.80665 m/s of ve.

Is the specific impulse converter free?

The browser tool is free and runs locally.

How do I convert exhaust velocity back to seconds of Isp?

Divide the exhaust velocity in m/s by standard gravity, 9.80665 m/s². Choose m/s as the source unit and seconds as the target, and the converter does the division for you.

Is N·s/kg the same as m/s?

Yes. Newton-seconds per kilogram are dimensionally identical to metres per second, so both units share the same factor and give the same number for a given engine.

Why is lbf·s/lb equal to seconds?

Under the standard-gravity definition used in English engineering practice, pound-force seconds per pound are numerically equal to seconds. A US datasheet in lbf·s/lb can therefore be read directly as Isp in seconds.

Everything on this page is available programmatically. This section is for teams who want to wire it into their own systems; everyone else can just use the tool above.

POSThttps://api.kit.forhosting.com/conv/specific-impulse

Prefer to automate it? One authenticated POST creates the task; the result comes back by webhook or a signed link. The same capability also runs here on the web, by email and from Telegram — and soon from our app too.

curl -X POST https://api.kit.forhosting.com/conv/specific-impulse \
  -H "Authorization: Bearer $KIT_KEY" \
  -H "Content-Type: application/json" \
  -d '{"value":450,"from":"s","to":"m/s"}'
{
  "value": 450,
  "from": "s",
  "to": "m/s"
}
{
  "task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
  "type": "conv.specific_impulse",
  "status": "queued",
  "_links": {
    "result": "/tasks/tsk_…/result"
  }
}

The API is asynchronous: the call returns a task_id immediately and the result arrives by webhook. Polling is capped at 1 req/s per task.

Per request$0.002

Published price — no tokens, no invented credits. A failed task is never charged.

max_abs1000000000000
HTTPCodeMeaning
401unauthorizedMissing or invalid API key.
402insufficient_balanceYour balance doesn't cover the task price.
404unknown_typeThat task type doesn't exist.
429rate_limitedToo many requests. Use the webhook instead of polling.

Unknown unit names fail with a clear invalid_input error instead of silent wrong factors.

Which specific impulse units are supported and how conversion works

Common aliases are accepted case-insensitively: sec and seconds for s; mps, meters per second, and ve for m/s; N s/kg and newton seconds per kilogram for N·s/kg; km/s and kilometers per second for km/s; fps and feet per second for ft/s; and lbf s/lbm or pound-force seconds per pound for lbf·s/lb. If the name is not on that list the solver rejects the request with invalid_input naming the bad field and listing supported units, so clients never guess whether a typo produced a wrong number. Absolute magnitude must stay within the published one-trillion limit so intermediate products remain finite in IEEE double precision on the Worker and in the browser.

How to call the API and read the response

Value must be a finite number or a strict numeric string within absolute limits of one trillion. Wire this into dashboards, mobile clients, or batch jobs that already hold an Isp reading and only need a second unit for display, datasheet comparison, or trajectory tooling without shipping floating conversion tables in every app binary. Send a JSON body with three required fields: value (aliases isp, Isp, amount, and n), from (aliases from_unit, unit_from, and source), and to (aliases to_unit, unit_to, and target). From and to must resolve to supported unit names after alias normalization. On success the response echoes the rounded input value, canonical from and to labels, result and converted set to the same rounded target magnitude, value_s as the Isp intermediate in seconds, value_m_s as the exhaust velocity in metres per second, unit as the target label, factor as the from-to multiplier, g0 as nine point eight zero six six five, formula as the short equation string, message as an English summary, steps as ordered substitution lines, and supported_units as the six canonical identifiers. Failed validation—missing fields, non-finite numbers, values outside absolute limits, or an unknown unit name—returns invalid_input and is never charged. Pricing is a flat $0.002 per successful request with unit item and zero marginal unit price.

Practical tips, limits, and when to use this landing

Normalize display labels on your side if you need locale-specific spellings—this API always returns the short canonical tokens s, m/s, N·s/kg, km/s, ft/s, and lbf·s/lb so automated tests stay stable. Prefer this capability when both endpoints are among the six supported specific-impulse units and you need deterministic g0 factors and step strings; if you need Δv from mass ratio and ve, use a dedicated rocket-equation capability instead. Failed tasks that return invalid_input do not consume prepaid balance, which keeps exploratory scripts cheap when clients deliberately probe unknown unit names.

Which specific impulse units can I convert?

Seconds (s), metres per second (m/s), newton-seconds per kilogram (N·s/kg), kilometres per second (km/s), feet per second (ft/s), and pound-force seconds per pound (lbf·s/lb), including common aliases such as sec, mps, fps, and lbf·s/lbm.

What happens if I send an unknown unit name?

The API returns invalid_input, names the bad field, and lists the supported units. The failed task is not charged.

Are results deterministic across browser and API?

Yes. Handler and widget share the same lib.js solve path with fixed g0 factors and twelve-decimal rounding, so golden examples match production.

Read the full KIT documentation →