Shaft torque is the rotational force exerted on or transmitted by a rotating shaft. It is a measure of the twisting force applied to cause rotation or the force the shaft itself delivers to drive a load. Torque is essential in mechanical systems where shafts transfer power from one component to another, such as in engines, gearboxes, and rotating machinery. Shaft torque is a factor in determining the performance of rotating equipment such as motors, turbines, and automotive engines. Higher torque allows a system to drive heavier loads or operate at lower speeds while maintaining power.
Shaft Torque Formula
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\( \tau_s \;=\; \dfrac{ \tau \cdot J }{ r }\) (Shaft Torque)
\( \tau \;=\; \dfrac{ \tau_s \cdot r }{ J }\)
\( J \;=\; \dfrac{ \tau_s \cdot r }{ \tau }\)
\( r \;=\; \dfrac{ \tau \cdot J }{ \tau_s }\)
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Symbol |
English |
Metric |
\( \tau_s \) (Greek symbol tau) = Shaft Torque |
\(lbf-ft\) |
\(N-m\) |
\( \tau \) (Greek symbol tau) = Shear Stress |
\(lbf \;/\; in^2\) |
\(Pa\) |
\( J \) = Polar Momentum of Inertia |
\(in^4\) |
\(mm^4\) |
\( r \) = Radius |
\(ft\) |
\(m\) |
