Total Torque Applied to Shaft A to Accelerate Geared System Calculator

✖Mass Moment of Inertia of Mass Attached to Shaft A is a measure of an object's resistance to changes in its rotation.ⓘ Mass Moment of Inertia of Mass Attached to Shaft A [I_A]			+10% -10%
✖Gear Ratio is the ratio of the angular velocity of the output shaft to the angular velocity of the input shaft in a mechanical system.ⓘ Gear Ratio [G]			+10% -10%
✖Mass Moment of Inertia of Mass Attached to Shaft B is a measure of an object's resistance to changes in its rotational motion around a specific axis.ⓘ Mass Moment of Inertia of Mass Attached to Shaft B [I_B]			+10% -10%
✖Angular Acceleration of Shaft A is the rate of change of angular velocity of a rotating shaft, describing its rotational motion around a fixed axis.ⓘ Angular Acceleration of Shaft A [α_A]			+10% -10%

✖Total Torque is the rotational force that causes an object to rotate or twist around a pivot or fulcrum, resulting in motion or change in motion.ⓘ Total Torque Applied to Shaft A to Accelerate Geared System [T]

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Total Torque Applied to Shaft A to Accelerate Geared System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Torque = (Mass Moment of Inertia of Mass Attached to Shaft A+Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)*Angular Acceleration of Shaft A
T = (I_A+G^2*I_B)*α_A
This formula uses 5 Variables

Variables Used

Total Torque - (Measured in Newton Meter) - Total Torque is the rotational force that causes an object to rotate or twist around a pivot or fulcrum, resulting in motion or change in motion.
Mass Moment of Inertia of Mass Attached to Shaft A - (Measured in Kilogram Square Meter) - Mass Moment of Inertia of Mass Attached to Shaft A is a measure of an object's resistance to changes in its rotation.
Gear Ratio - Gear Ratio is the ratio of the angular velocity of the output shaft to the angular velocity of the input shaft in a mechanical system.
Mass Moment of Inertia of Mass Attached to Shaft B - (Measured in Kilogram Square Meter) - Mass Moment of Inertia of Mass Attached to Shaft B is a measure of an object's resistance to changes in its rotational motion around a specific axis.
Angular Acceleration of Shaft A - Angular Acceleration of Shaft A is the rate of change of angular velocity of a rotating shaft, describing its rotational motion around a fixed axis.

STEP 1: Convert Input(s) to Base Unit

Mass Moment of Inertia of Mass Attached to Shaft A: 18 Kilogram Square Meter --> 18 Kilogram Square Meter No Conversion Required
Gear Ratio: 3 --> No Conversion Required
Mass Moment of Inertia of Mass Attached to Shaft B: 36 Kilogram Square Meter --> 36 Kilogram Square Meter No Conversion Required
Angular Acceleration of Shaft A: 25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (I_A+G^2*I_B)*α_A --> (18+3^2*36)*25

Evaluating ... ...

T = 8550

STEP 3: Convert Result to Output's Unit

8550 Newton Meter --> No Conversion Required

FINAL ANSWER

8550 Newton Meter <-- Total Torque

(Calculation completed in 00.015 seconds)

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< Torque on Shaft Calculators

Total Torque Applied to Shaft A to Accelerate Geared System

LaTeX Go Total Torque = (Mass Moment of Inertia of Mass Attached to Shaft A+Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)*Angular Acceleration of Shaft A

Torque on Shaft B to Accelerate Itself given Gear Ratio

LaTeX Go Torque Required on Shaft B to Accelerate Itself = Gear Ratio*Mass Moment of Inertia of Mass Attached to Shaft B*Angular Acceleration of Shaft A

Torque on Shaft B to Accelerate Itself given M.I and Angular Acceleration

LaTeX Go Torque Required on Shaft B to Accelerate Itself = Mass Moment of Inertia of Mass Attached to Shaft B*Angular Acceleration of Shaft B

Total Torque Applied to Accelerate Geared System given Ta and Tab

LaTeX Go Total Torque = Torque Required on Shaft A to Accelerate Itself+Torque Applied on Shaft A to Accelerate Shaft B

Total Torque Applied to Shaft A to Accelerate Geared System Formula

LaTeX Go

Total Torque = (Mass Moment of Inertia of Mass Attached to Shaft A+Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)*Angular Acceleration of Shaft A
T = (I_A+G^2*I_B)*α_A

Does Torque cause Angular Acceleration?

Torque is a measure of the force that can cause an object to rotate about an axis. Just as a force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration.

How to Calculate Total Torque Applied to Shaft A to Accelerate Geared System?

Total Torque Applied to Shaft A to Accelerate Geared System calculator uses Total Torque = (Mass Moment of Inertia of Mass Attached to Shaft A+Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)*Angular Acceleration of Shaft A to calculate the Total Torque, Total Torque Applied to Shaft A to Accelerate Geared System formula is defined as the measure of the rotational force required to accelerate a geared system, considering the moment of inertia of shaft A and the gear ratio, to determine the total torque applied to the shaft. Total Torque is denoted by T symbol.

How to calculate Total Torque Applied to Shaft A to Accelerate Geared System using this online calculator? To use this online calculator for Total Torque Applied to Shaft A to Accelerate Geared System, enter Mass Moment of Inertia of Mass Attached to Shaft A (I_A), Gear Ratio (G), Mass Moment of Inertia of Mass Attached to Shaft B (I_B) & Angular Acceleration of Shaft A (α_A) and hit the calculate button. Here is how the Total Torque Applied to Shaft A to Accelerate Geared System calculation can be explained with given input values -> 8550 = (18+3^2*36)*25.

FAQ

What is Total Torque Applied to Shaft A to Accelerate Geared System?

Total Torque Applied to Shaft A to Accelerate Geared System formula is defined as the measure of the rotational force required to accelerate a geared system, considering the moment of inertia of shaft A and the gear ratio, to determine the total torque applied to the shaft and is represented as T = (I_A+G^2*I_B)*α_A or Total Torque = (Mass Moment of Inertia of Mass Attached to Shaft A+Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)*Angular Acceleration of Shaft A. Mass Moment of Inertia of Mass Attached to Shaft A is a measure of an object's resistance to changes in its rotation, Gear Ratio is the ratio of the angular velocity of the output shaft to the angular velocity of the input shaft in a mechanical system, Mass Moment of Inertia of Mass Attached to Shaft B is a measure of an object's resistance to changes in its rotational motion around a specific axis & Angular Acceleration of Shaft A is the rate of change of angular velocity of a rotating shaft, describing its rotational motion around a fixed axis.

How to calculate Total Torque Applied to Shaft A to Accelerate Geared System?

Total Torque Applied to Shaft A to Accelerate Geared System formula is defined as the measure of the rotational force required to accelerate a geared system, considering the moment of inertia of shaft A and the gear ratio, to determine the total torque applied to the shaft is calculated using Total Torque = (Mass Moment of Inertia of Mass Attached to Shaft A+Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)*Angular Acceleration of Shaft A. To calculate Total Torque Applied to Shaft A to Accelerate Geared System, you need Mass Moment of Inertia of Mass Attached to Shaft A (I_A), Gear Ratio (G), Mass Moment of Inertia of Mass Attached to Shaft B (I_B) & Angular Acceleration of Shaft A (α_A). With our tool, you need to enter the respective value for Mass Moment of Inertia of Mass Attached to Shaft A, Gear Ratio, Mass Moment of Inertia of Mass Attached to Shaft B & Angular Acceleration of Shaft A and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Torque?

In this formula, Total Torque uses Mass Moment of Inertia of Mass Attached to Shaft A, Gear Ratio, Mass Moment of Inertia of Mass Attached to Shaft B & Angular Acceleration of Shaft A. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Torque = Torque Required on Shaft A to Accelerate Itself+Torque Applied on Shaft A to Accelerate Shaft B

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