Torque on Shaft A to Accelerate Shaft B Calculator

✖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%

✖Torque Applied on Shaft A to Accelerate Shaft B is the rotational force that causes Shaft B to accelerate when Shaft A applies a force.ⓘ Torque on Shaft A to Accelerate Shaft B [T_AB]

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Torque on Shaft A to Accelerate Shaft B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque Applied on Shaft A to Accelerate Shaft B = Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B*Angular Acceleration of Shaft A
T_AB = G^2*I_B*α_A
This formula uses 4 Variables

Variables Used

Torque Applied on Shaft A to Accelerate Shaft B - (Measured in Newton Meter) - Torque Applied on Shaft A to Accelerate Shaft B is the rotational force that causes Shaft B to accelerate when Shaft A applies a force.
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

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_AB = G^2*I_B*α_A --> 3^2*36*25

Evaluating ... ...

T_AB = 8100

STEP 3: Convert Result to Output's Unit

8100 Newton Meter --> No Conversion Required

FINAL ANSWER

8100 Newton Meter <-- Torque Applied on Shaft A to Accelerate Shaft B

(Calculation completed in 00.004 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

Torque on Shaft A to Accelerate Shaft B Formula

LaTeX Go

Torque Applied on Shaft A to Accelerate Shaft B = Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B*Angular Acceleration of Shaft A
T_AB = 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 Torque on Shaft A to Accelerate Shaft B?

Torque on Shaft A to Accelerate Shaft B calculator uses Torque Applied on Shaft A to Accelerate Shaft B = Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B*Angular Acceleration of Shaft A to calculate the Torque Applied on Shaft A to Accelerate Shaft B, Torque on Shaft A to Accelerate Shaft B formula is defined as the rotational force that causes Shaft A to accelerate Shaft B, enabling the transfer of mechanical energy between the two shafts in a mechanical system, thereby facilitating motion and power transmission. Torque Applied on Shaft A to Accelerate Shaft B is denoted by T_AB symbol.

How to calculate Torque on Shaft A to Accelerate Shaft B using this online calculator? To use this online calculator for Torque on Shaft A to Accelerate Shaft B, enter 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 Torque on Shaft A to Accelerate Shaft B calculation can be explained with given input values -> 8100 = 3^2*36*25.

FAQ

What is Torque on Shaft A to Accelerate Shaft B?

Torque on Shaft A to Accelerate Shaft B formula is defined as the rotational force that causes Shaft A to accelerate Shaft B, enabling the transfer of mechanical energy between the two shafts in a mechanical system, thereby facilitating motion and power transmission and is represented as T_AB = G^2*I_B*α_A or Torque Applied on Shaft A to Accelerate Shaft B = Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B*Angular Acceleration of Shaft A. 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 Torque on Shaft A to Accelerate Shaft B?

Torque on Shaft A to Accelerate Shaft B formula is defined as the rotational force that causes Shaft A to accelerate Shaft B, enabling the transfer of mechanical energy between the two shafts in a mechanical system, thereby facilitating motion and power transmission is calculated using Torque Applied on Shaft A to Accelerate Shaft B = Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B*Angular Acceleration of Shaft A. To calculate Torque on Shaft A to Accelerate Shaft B, you need 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 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 Torque Applied on Shaft A to Accelerate Shaft B?

In this formula, Torque Applied on Shaft A to Accelerate Shaft B uses 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 -

Torque Applied on Shaft A to Accelerate Shaft B = (Gear Ratio*Mass Moment of Inertia of Mass Attached to Shaft B*Angular Acceleration of Shaft A)/Gear Efficiency

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