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Rocket Equation کا حساب کیسے لگائیں

Rocket Equation کیا ہے؟

The rocket equation (Tsiolkovsky) relates rocket velocity change to exhaust velocity and mass ratio. It's fundamental to space mission planning and launch vehicle design.

فارمولا

The calculator applies ΔV = v_e × ln(m_initial / m_final)

مرحلہ وار گائیڈ

  1. 1Enter initial mass, final mass, and exhaust velocity
  2. 2The calculator applies ΔV = v_e × ln(m_initial / m_final)
  3. 3Results show achievable velocity change

حل شدہ مثالیں

ان پٹ
v_e = 4000 m/s, m_initial = 100 tonnes, m_final = 10 tonnes
نتیجہ
ΔV ≈ 9,210 m/s
Sufficient for Earth orbit

عام غلطیاں جن سے بچنا ہے

  • Using natural logarithm (ln) instead of log₁₀
  • Confusing initial mass with fuel mass

اکثر پوچھے جانے والے سوالات

Why does mass ratio matter so much?

The logarithmic relationship means doubling the mass ratio roughly doubles the velocity change, making efficiency critical.

What determines exhaust velocity?

Exhaust velocity depends on propellant energy density and engine efficiency; chemical rockets are typically 3000-4500 m/s.

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