Convert gram-force [gf] to ton-force (metric) [tf] Online | Free force Converter

Gram-Force [gf]


The gram-force (gf) is a unit of force based on the force exerted by one gram of mass under standard gravity.



  • It is defined as the force exerted by a mass of 1 gram under the acceleration due to gravity (9.80665 m/s²).



  • Mathematically:



1 gf=1 g×9.80665 m/s2=9.80665×103 N=0.00980665 N1 \text{ gf} = 1 \text{ g} \times 9.80665 \text{ m/s}^2 = 9.80665 \times 10^{-3} \text{ N} = 0.00980665 \text{ N}

  • Although not an SI unit, gram-force is used in some fields like engineering and material science for small force measurements.



Example: The force due to a 500 g mass is 500 gf, which is approximately 4.9 newtons.



Ton-Force (Metric) [tf]


Ton-force (metric), also called tonne-force or metric ton-force (tf), is a unit of force based on the force exerted by one metric ton (1,000 kilograms) under standard gravity.



  • Defined as the force exerted by a mass of 1 metric ton under Earth's gravity (9.80665 m/s²).



  • Mathematically:



1 tf=1,000 kg×9.80665 m/s2=9,806.65 N1 \text{ tf} = 1,000 \text{ kg} \times 9.80665 \text{ m/s}^2 = 9,806.65 \text{ N}

  • Though not an SI unit, it is widely used in engineering and heavy industries to measure large forces.



Example: A force of 5 tf corresponds to approximately 49,033 newtons.



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