Essential Physics Formulas and Unit Conversions

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Motion and Force Formulas

  • Speed = Distance ÷ Time (Distance in m, Time in s)
  • Acceleration = Change in velocity ÷ Time (Velocity in m/s, Time in s)
  • Force = Mass × Acceleration (Mass in kg, Acceleration in m/s²)
  • Weight = Mass × Gravitational field strength (g = 9.8 N/kg)

Density and Energy Equations

  • Density = Mass ÷ Volume (Mass in kg, Volume in m³)
  • Kinetic Energy (KE) = ½ × Mass × Speed² (Mass in kg, Speed in m/s)
  • Gravitational Potential Energy (GPE) = Mass × g × Height (Mass in kg, Height in m)
  • Work Done = Force × Distance (Force in N, Distance in m)
  • Power = Energy transferred ÷ Time (Energy in J, Time in s)
  • Efficiency = (Useful energy output ÷ Total energy input) × 100%

Waves, Electricity, and Pressure

  • Wave speed = Frequency × Wavelength (Frequency in Hz, Wavelength in m)
  • Current = Charge ÷ Time (Charge in C, Time in s)
  • Voltage = Energy transferred ÷ Charge (Energy in J, Charge in C)
  • Resistance = Voltage ÷ Current (Voltage in V, Current in A)
  • Power = Voltage × Current (Voltage in V, Current in A)
  • Energy transferred = Voltage × Current × Time (Time in s)
  • Moment = Force × Distance from pivot (Distance in m)
  • Pressure = Force ÷ Area (Area in m²)
  • Thermal energy change = Mass × Specific heat capacity × Temperature change (Mass in kg, Temp in °C)

Unit Conversion Reference

  • km to m: Multiply by 1000
  • m to km: Divide by 1000
  • cm to m: Divide by 100
  • mm to m: Divide by 1000
  • g to kg: Divide by 1000
  • Minutes to seconds: Multiply by 60
  • Hours to seconds: Multiply by 3600
  • km/h to m/s: Divide by 3.6
  • kHz to Hz: Multiply by 1000
  • cm² to m²: Divide by 10,000
  • cm³ to m³: Divide by 1,000,000

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