Total Torque Applied to Accelerate Geared System given Ta and Tab Calculator

Formula

The formula to calculate Total Torque (T) is:

\[ T = T_A + T_{AB} \]

Where:

\(T\) is the Total Torque.
\(T_A\) is the Torque Required on Shaft A to Accelerate Itself.
\(T_{AB}\) is the Torque Applied on Shaft A to Accelerate Shaft B.

Definition

Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.

Torque Required on Shaft A to Accelerate Itself is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.

Torque Applied on Shaft A to Accelerate Shaft B is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.

How to calculate Total Torque given Torque Required on Shaft A and Torque Applied on Shaft A to Accelerate Shaft B

Let's assume the following values:

Torque Required on Shaft A to Accelerate Itself (T_A) = 20 Nm
Torque Applied on Shaft A to Accelerate Shaft B (T_AB) = 40 Nm

Using the formula:

\[ T = T_A + T_{AB} \]

Evaluating:

\[ T = 20 + 40 \]

The Total Torque is 60 Nm.

Torque Conversion Chart

Torque Required on Shaft A (T_A)	Torque Applied on Shaft A (T_AB)	Total Torque (T)
10	30	40.000000000000000
10	35	45.000000000000000
10	40	50.000000000000000
10	45	55.000000000000000
10	50	60.000000000000000
15	30	45.000000000000000
15	35	50.000000000000000
15	40	55.000000000000000
15	45	60.000000000000000
15	50	65.000000000000000
20	30	50.000000000000000
20	35	55.000000000000000
20	40	60.000000000000000
20	45	65.000000000000000
20	50	70.000000000000000
25	30	55.000000000000000
25	35	60.000000000000000
25	40	65.000000000000000
25	45	70.000000000000000
25	50	75.000000000000000
30	30	60.000000000000000
30	35	65.000000000000000
30	40	70.000000000000000
30	45	75.000000000000000
30	50	80.000000000000000