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Total Torque Applied to Shaft A to Accelerate Geared System Formula

GoTotal Torque Applied to Accelerate Geared System given Ta and Tab Formula

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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. Check FAQs

T = (I A + G^{2} \cdot I B) \cdot α A

T - Total Torque?I_A - Mass Moment of Inertia of Mass Attached to Shaft A?G - Gear Ratio?I_B - Mass Moment of Inertia of Mass Attached to Shaft B?α_A - Angular Acceleration of Shaft A?

Total Torque Applied to Shaft A to Accelerate Geared System Example

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Here is how the Total Torque Applied to Shaft A to Accelerate Geared System equation looks like with Values.

Here is how the Total Torque Applied to Shaft A to Accelerate Geared System equation looks like with Units.

Here is how the Total Torque Applied to Shaft A to Accelerate Geared System equation looks like.

8550 = (18 + 3^{2} \cdot 36) \cdot 25

8550N*m = (18kg·m² + 3^{2} \cdot 36kg·m²) \cdot 25

8550 = (18 + 3^{2} \cdot 36) \cdot 25

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Total Torque Applied to Shaft A to Accelerate Geared System Solution

Follow our step by step solution on how to calculate Total Torque Applied to Shaft A to Accelerate Geared System?

FIRST Step Consider the formula

T = (I A + G^{2} \cdot I B) \cdot α A

Next Step Substitute values of Variables

∴

T = (18kg·m² + 3^{2} \cdot 36kg·m²) \cdot 25

Next Step Prepare to Evaluate

∴

T = (18 + 3^{2} \cdot 36) \cdot 25

LAST Step Evaluate

∴

T = 8550N*m

Total Torque Applied to Shaft A to Accelerate Geared System Formula Elements

Variables

Total Torque

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.

Symbol: T

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Total Torque

Mass Moment of Inertia of Mass Attached to 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.

Symbol: I_A

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Mass Moment of Inertia of Mass Attached to Shaft A

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.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gear Ratio

Mass Moment of Inertia of Mass Attached to Shaft B

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.

Symbol: I_B

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Mass Moment of Inertia of Mass Attached to Shaft B

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.

Symbol: α_A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Angular Acceleration of Shaft A

Other Formulas to find Total Torque

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

T = T A + T AB

Other formulas in Torque on Shaft category

Go Torque on Shaft B to Accelerate Itself given Gear Ratio

T B = G \cdot I B \cdot α A

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

T B = I B \cdot α B

Go Torque on Shaft A to Accelerate Shaft B

T AB = G^{2} \cdot I B \cdot α A

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

T AB = \frac{G \cdot I B \cdot α A}{η}

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

Total Torque Applied to Shaft A to Accelerate Geared System evaluator 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 evaluate 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 evaluate Total Torque Applied to Shaft A to Accelerate Geared System using this online evaluator? To use this online evaluator 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.

FAQs on Total Torque Applied to Shaft A to Accelerate Geared System

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

The formula of Total Torque Applied to Shaft A to Accelerate Geared System is expressed as 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. Here is an example- 8550 = (18+3^2*36)*25.

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

With 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) we can find Total Torque Applied to Shaft A to Accelerate Geared System using the formula - 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.

What are the other ways to Calculate Total Torque?

Here are the different ways to Calculate Total Torque-

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

Can the Total Torque Applied to Shaft A to Accelerate Geared System be negative?

Yes, the Total Torque Applied to Shaft A to Accelerate Geared System, measured in Torque can be negative.

Which unit is used to measure Total Torque Applied to Shaft A to Accelerate Geared System?

Total Torque Applied to Shaft A to Accelerate Geared System is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Total Torque Applied to Shaft A to Accelerate Geared System can be measured.

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Total Torque Applied to Shaft A to Accelerate Geared System Formula

​GoTotal Torque Applied to Accelerate Geared System given Ta and Tab Formula

Total Torque Applied to Shaft A to Accelerate Geared System Example

Total Torque Applied to Shaft A to Accelerate Geared System Solution

Total Torque Applied to Shaft A to Accelerate Geared System Formula Elements

Other Formulas to find Total Torque

Other formulas in Torque on Shaft category

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

FAQs on Total Torque Applied to Shaft A to Accelerate Geared System

Variable Name

GoTotal Torque Applied to Accelerate Geared System given Ta and Tab Formula