Torque on Shaft A to Accelerate Shaft B given Gear Efficiency 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%
✖Gear Efficiency is the ratio of output power to input power of a gear system, indicating the system's ability to transmit power efficiently.ⓘ Gear Efficiency [η]			+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 given Gear Efficiency [T_AB]

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Torque on Shaft A to Accelerate Shaft B given Gear Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
T_AB = (G*I_B*α_A)/η
This formula uses 5 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.
Gear Efficiency - Gear Efficiency is the ratio of output power to input power of a gear system, indicating the system's ability to transmit power efficiently.

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
Gear Efficiency: 0.82 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_AB = (G*I_B*α_A)/η --> (3*36*25)/0.82

Evaluating ... ...

T_AB = 3292.68292682927

STEP 3: Convert Result to Output's Unit

3292.68292682927 Newton Meter --> No Conversion Required

FINAL ANSWER

3292.68292682927 ≈ 3292.683 Newton Meter <-- Torque Applied on Shaft A to Accelerate Shaft B

(Calculation completed in 00.007 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 given Gear Efficiency Formula

LaTeX Go

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
T_AB = (G*I_B*α_A)/η

Does Torque cause Angular Acceleration?

Torque is a measure of the force that can cause an object to rotate about an axis. Just as 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 given Gear Efficiency?

Torque on Shaft A to Accelerate Shaft B given Gear Efficiency calculator uses 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 to calculate the Torque Applied on Shaft A to Accelerate Shaft B, Torque on Shaft A to Accelerate Shaft B given Gear Efficiency formula is defined as the rotational force required to accelerate Shaft B, considering the gear efficiency, moment of inertia of Shaft B, and angular acceleration of Shaft A, providing a crucial measure in the kinetics of motion. 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 given Gear Efficiency using this online calculator? To use this online calculator for Torque on Shaft A to Accelerate Shaft B given Gear Efficiency, enter Gear Ratio (G), Mass Moment of Inertia of Mass Attached to Shaft B (I_B), Angular Acceleration of Shaft A (α_A) & Gear Efficiency (η) and hit the calculate button. Here is how the Torque on Shaft A to Accelerate Shaft B given Gear Efficiency calculation can be explained with given input values -> 3292.683 = (3*36*25)/0.82.

FAQ

What is Torque on Shaft A to Accelerate Shaft B given Gear Efficiency?

Torque on Shaft A to Accelerate Shaft B given Gear Efficiency formula is defined as the rotational force required to accelerate Shaft B, considering the gear efficiency, moment of inertia of Shaft B, and angular acceleration of Shaft A, providing a crucial measure in the kinetics of motion and is represented as T_AB = (G*I_B*α_A)/η or 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. 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 & Gear Efficiency is the ratio of output power to input power of a gear system, indicating the system's ability to transmit power efficiently.

How to calculate Torque on Shaft A to Accelerate Shaft B given Gear Efficiency?

Torque on Shaft A to Accelerate Shaft B given Gear Efficiency formula is defined as the rotational force required to accelerate Shaft B, considering the gear efficiency, moment of inertia of Shaft B, and angular acceleration of Shaft A, providing a crucial measure in the kinetics of motion is calculated using 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. To calculate Torque on Shaft A to Accelerate Shaft B given Gear Efficiency, you need Gear Ratio (G), Mass Moment of Inertia of Mass Attached to Shaft B (I_B), Angular Acceleration of Shaft A (α_A) & Gear Efficiency (η). 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 & Gear Efficiency 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 & Gear Efficiency. 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^2*Mass Moment of Inertia of Mass Attached to Shaft B*Angular Acceleration of Shaft A

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