Te tātaitai tōpana (F = ma)

Whakaroatia te ture tuarua a Newton mō te tōpana, te nuinga, te tere rānei.

kg
m/s²
N
Ka taea te whakahau (N) —
Ka taea te whakahau (lbf) —
Ka taea te whakahau (kgf) —
Taumaha (kg) —
Whakateretanga (m/s²) —

Ka whakahōutia ngā hua i te wā e tātuhi ana.

Did this calculator give you the right answer?

Mo tēnei tātaitai

Newton's second law is the cornerstone of classical mechanics: the net force on an object equals its mass times its acceleration, F = m × a. Rearranged, the acceleration a body undergoes is a = F / m, and the mass implied by a known force and acceleration is m = F / a. The result is in newtons (N), the SI unit of force defined as the force that gives a 1 kg mass an acceleration of 1 m/s². This calculator also converts to pound-force and kilogram-force, using 1 N = 0.2248 lbf = 0.1020 kgf.

Choose which quantity to solve for and enter the other two. For example, accelerating a 10 kg mass at 9.8 m/s² takes F = 10 × 9.8 = 98 N — which is also the weight of that mass on Earth, since weight is just the gravitational force m × g. Push a 1,500 kg car to 2 m/s² and you need 3,000 N; halve the mass or the acceleration and the force halves too, because force is directly proportional to both.

Force calculations underpin everything from working out the thrust a rocket needs and the braking force to stop a vehicle, to the tension in a lift cable and the recoil of a firearm. Keep the units consistent — kilograms, metres and seconds give newtons — and remember the law describes the net force: if several forces act, add them as vectors first, then divide by mass to get the actual acceleration.

Ko nga pātai e pā ana

He aha te ture tuarua a Newton?

E kī ana he ōrite te tōpana tīariari i runga i tētahi ahanoa ki tōna taumahatanga, F = m × a. Ka rua te taumahatanga, te whakateretanga rānei ka rua te tōpana.

He aha te Newton?

Ko te Newton te wae o te tōpana SI: ko te tōpana e hoatu ana ki te taumahatanga 1 kg he tere o te 1 m/s². e ōrite ana ki te 0.2248 pounds-pūnga.

He pēhea te kimi i te tere mai i te tōpana me te nui?

Ka whakahōu anō te ture ki a = F / m. Ko te tōpana tīariari 3,000 N i runga i tētahi 1,500 kg o te waka e whakaputa ana i te 3,000 / 1,500 = 2 m/s² o te tere. Ko te nuinga nui ake ko te tikanga he iti iho te tere mo te tōpana ōrite.

He ōrite te taumaha ki te tōpana?

Ko te taumaha ko te tōpana ā-papa motuhake i runga i tētahi taumaha, W = m × g, me te g ≈ 9.81 m/s² i runga i te Earth. Nā reira ko te taumahatanga o te 10 kg e tata ana ki te 98 N. Ka noho ōrite te taumahatanga i ngā wāhi katoa; Ka rerekē te taumahatanga me te tō ā-papa paetata.

He aha te rerekētanga i waenganui i te nuinga me te kaha?

Ko te nuinga (ki te kila) e ine ana i te nui o te take o tētahi ahanoa, ā, ka ātetetia te tere; ko te tōpana (Newtons) he whakahau, he whakahau rānei. E honoa ana rātau e F = m × a engari he rerekē ngā nui me ngā wae rerekē.

He aha te tikanga o te "pūngao tīariari" i roto i te tātai?

Ko te taumahatanga rarangi o ngā tōpana katoa e mahi ana ki runga i te ahanoa. Mēnā he 100 N te whakahauhau e tūtaki ana i tētahi tōpana whakaroa 30 N, ko te tōpana tīariari ko te 70 N, ā, ko taua uara e whakatau ana i te whakateretanga tūturu.

He pēhea te tahuri i a Newton ki te pūngao-pūngao, ki te pūngao-kiomio rānei?

Whakarea ngā Newtons e 0.2248 mō te pūngao pūngao, e 0.1020 rānei mō te pūngao kiloko. Nā reira, e 98 N tata ki te 22 lbf, 10 kgf rānei — ka whakaaturia ngā tatauranga e rua i ngā tahuritanga.

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Whakamutunga

GET https://calculator.free/api/v1/force/

curl

curl "https://calculator.free/api/v1/force/?solve=force&mass=10&acceleration=9.8"

JavaScript fetch()

const r = await fetch(
  "https://calculator.free/api/v1/force/?" + new URLSearchParams({
    "solve": "force",
    "mass": "10",
    "acceleration": "9.8"
  }));
const data = await r.json();
console.log(data.results);

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