ForHosting KIT · Developer Utilities

Temperature from radiated power

This temperature from radiated power calculator finds the absolute temperature of a thermal radiator when you already know how many watts leave the surface, how large that surface is, and what emissivity to assign.

● BetaFree · in your browser

Run — free How it works & API

Use it from WebAPIEmailTelegramApp soon

The defining relation is the inverted Stefan–Boltzmann law: absolute temperature T equals the fourth root of power P divided by the product of emissivity, the Stefan–Boltzmann constant sigma, and area A. With power in watts and area in square metres the result is kelvin, using the fixed CODATA constant sigma equals 5.670374419 times ten to the minus eight watts per square metre per kelvin to the fourth. Emissivity of one models an ideal black body; real paints, metals, ceramics, and biological surfaces use a positive fraction you supply. Zero power is valid and yields zero kelvin when area and emissivity are positive; negative power, zero area, or zero emissivity are rejected because the inverted law is undefined for those cases. The engine is pure deterministic arithmetic with no network calls, no sampling, and no date-dependent shortcuts. Use it free in the browser for homework, lab prep, and design checks, or call the API at $0.002 per successful request when you need reproducible kelvin fixtures in CI, tutoring software, or teaching demos that must not invent fourth-root steps by hand.

How to use it

Enter your values in the form above. The tool checks them before calculating and shows the result on the same page.

Check your inputs

Use the labels and units shown next to each field. If something is missing or outside the allowed range, the page points to the field to fix.

Use it again or automate it

Use the browser tool for individual checks and the API when you need the same capability in an automated workflow.

What you can do with it

Get an answer now

Enter one set of values and see the result without building a spreadsheet or script.

Compare scenarios

Change one value at a time and rerun the calculation to understand what affects the result.

Automate repeated work

Use the API when the same calculation needs to run inside your product or workflow.

FAQ

How do I use this capability?

Complete the fields above and run it on this page. The form highlights anything that needs attention.

For developers — API access

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.

API endpoint

POSThttps://api.kit.forhosting.com/optics/temperature-from-radiated-power

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.

Call it from your stack

curl -X POST https://api.kit.forhosting.com/optics/temperature-from-radiated-power \
  -H "Authorization: Bearer $KIT_KEY" \
  -H "Content-Type: application/json" \
  -d '{"power":459.3,"area":1,"emissivity":1}'

const res = await fetch("https://api.kit.forhosting.com/optics/temperature-from-radiated-power", {
  method: "POST",
  headers: {
    "Authorization": `Bearer ${process.env.KIT_KEY}`,
    "Content-Type": "application/json"
  },
  body: JSON.stringify({
    "power": 459.3,
    "area": 1,
    "emissivity": 1
  })
});
const { task_id } = await res.json();

import os, requests

res = requests.post(
    "https://api.kit.forhosting.com/optics/temperature-from-radiated-power",
    headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
    json={
    "power": 459.3,
    "area": 1,
    "emissivity": 1
},
)
task_id = res.json()["task_id"]

<?php
$res = file_get_contents("https://api.kit.forhosting.com/optics/temperature-from-radiated-power", false, stream_context_create([
  "http" => [
    "method"  => "POST",
    "header"  => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
    "content" => '{"power":459.3,"area":1,"emissivity":1}',
  ],
]));
$task = json_decode($res, true);

body := bytes.NewBufferString(`{"power":459.3,"area":1,"emissivity":1}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/optics/temperature-from-radiated-power", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)

Example request

{
  "power": 459.3,
  "area": 1,
  "emissivity": 1
}

Example response

{
  "task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
  "type": "optics.temperature_from_radiated_power",
  "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.

Pricing

Per request$0.002

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

Errors

HTTP	Code	Meaning
`401`	`unauthorized`	Missing or invalid API key.
`402`	`insufficient_balance`	Your balance doesn't cover the task price.
`404`	`unknown_type`	That task type doesn't exist.
`429`	`rate_limited`	Too many requests. Use the webhook instead of polling.

Read the full KIT documentation →