Torque

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

torque 1Torque, abbreviated as \(\tau\) (Greek symbol tau) or T, also called moment of force, is a type of force that is applied to an object that results in the object rotating around an axis.  It is a measure of how much twisting is applied to an object.  Force is an action that causes a change in the motion of an object.  Torque also concerns acceleration that is always at an angle.  It is a vector but the direction varies according to the direction of the force that is being applied. The amount of force needed to bring about movement with torque decreases as distance increases from the point of rotation.

Torque in a valve is the amount of rotational force to overcome the resistance of a valve sleeve and line pressure to close the sleeve.

 

Torque formulas

\(\large{ \tau = r \; F \; sin \; \theta  }\)
\(\large{ \tau = l \; F }\) 
\(\large{ \tau = d \; F }\) 
\(\large{ \tau = I \; \alpha }\) 

Where:

 Units English Metric
\(\large{ \tau }\)  (Greek symbol tau) = torque \(\large{lbf-ft}\) \(\large{N-m}\)
\(\large{ \theta }\)  (Greek symbol theta) = angle \(\large{deg}\) \(\large{rad}\)
\(\large{ \alpha }\)  (Greek symbol alpha) = angular acceleration \(\large{\frac{deg}{sec^2}}\) \(\large{\frac{rad}{s^2}}\)
\(\large{ d }\) = displacement   \(\large{in}\)  \(\large{mm}\)
\(\large{ F }\) = force \(\large{lbf}\) \(\large{N}\)
\(\large{ l }\) = length, moment arm \(\large{in}\) \(\large{mm}\)
\(\large{ I }\) = moment of inertia \(\large{lbm-ft^2}\)   \(\large{kg-m^2}\)  
\(\large{ P }\) = power \(\large{\frac{lbf-ft}{sec}}\)  \(\large{\frac{J}{s}}\) 
\(\large{ r }\) = radius \(\large{in}\) \(\large{mm}\)

 

Related formula

\(\large{ \tau = \frac{ 5252\; HP }{ s }   }\) (engine horsepower)

Where:

\(\large{ \tau }\)  (Greek symbol tau) = torque

\(\large{ HP }\) = horsepower

\(\large{ s }\) = speed (rpm)

 

Breakaway Torque

The torque necessary to put into reverse rotation a bolt that has not been tightened.

 

Breakloose Torque

The torque required to effect reverse rotation when a pre-stressed threaded assembly is loosened.

 

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Tags: Equations for Valves Equations for Force Equations for Torque