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

GoTorque on Shaft A to Accelerate Shaft B Formula

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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. Check FAQs

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

T_AB - Torque Applied on Shaft A to Accelerate Shaft B?G - Gear Ratio?I_B - Mass Moment of Inertia of Mass Attached to Shaft B?α_A - Angular Acceleration of Shaft A?η - Gear Efficiency?

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

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Here is how the Torque on Shaft A to Accelerate Shaft B given Gear Efficiency equation looks like with Values.

Here is how the Torque on Shaft A to Accelerate Shaft B given Gear Efficiency equation looks like with Units.

Here is how the Torque on Shaft A to Accelerate Shaft B given Gear Efficiency equation looks like.

3292.6829 = \frac{3 \cdot 36 \cdot 25}{0.82}

3292.6829N*m = \frac{3 \cdot 36kg·m² \cdot 25}{0.82}

3292.6829 = \frac{3 \cdot 36 \cdot 25}{0.82}

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

Follow our step by step solution on how to calculate Torque on Shaft A to Accelerate Shaft B given Gear Efficiency?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T AB = \frac{3 \cdot 36kg·m² \cdot 25}{0.82}

Next Step Prepare to Evaluate

∴

T AB = \frac{3 \cdot 36 \cdot 25}{0.82}

Next Step Evaluate

∴

T AB = 3292.68292682927N*m

LAST Step Rounding Answer

∴

T AB = 3292.6829N*m

Torque on Shaft A to Accelerate Shaft B given Gear Efficiency Formula Elements

Variables

Torque Applied on Shaft A to Accelerate Shaft B

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.

Symbol: T_AB

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Torque Applied on Shaft A to Accelerate Shaft B

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

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.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gear Efficiency

Other Formulas to find Torque Applied on Shaft A to Accelerate Shaft B

Go Torque on Shaft A to Accelerate Shaft B

T AB = G^{2} \cdot I B \cdot α A

Other formulas in Torque on Shaft category

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

T = T A + T AB

Go Torque on Shaft B to Accelerate Itself given Gear Ratio

T B = G \cdot I B \cdot α A

Go Total Torque Applied to Shaft A to Accelerate Geared System

T = (I A + G^{2} \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

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

Torque on Shaft A to Accelerate Shaft B given Gear Efficiency evaluator 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 evaluate 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 evaluate Torque on Shaft A to Accelerate Shaft B given Gear Efficiency using this online evaluator? To use this online evaluator 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.

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

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

The formula of Torque on Shaft A to Accelerate Shaft B given Gear Efficiency is expressed as 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. Here is an example- 3292.683 = (3*36*25)/0.82.

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

With 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) we can find Torque on Shaft A to Accelerate Shaft B given Gear Efficiency using the formula - 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.

What are the other ways to Calculate Torque Applied on Shaft A to Accelerate Shaft B?

Here are the different ways to Calculate Torque Applied on Shaft A to Accelerate Shaft B-

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

Can the Torque on Shaft A to Accelerate Shaft B given Gear Efficiency be negative?

Yes, the Torque on Shaft A to Accelerate Shaft B given Gear Efficiency, measured in Torque can be negative.

Which unit is used to measure Torque on Shaft A to Accelerate Shaft B given Gear Efficiency?

Torque on Shaft A to Accelerate Shaft B given Gear Efficiency 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 Torque on Shaft A to Accelerate Shaft B given Gear Efficiency can be measured.

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

​GoTorque on Shaft A to Accelerate Shaft B Formula

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

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

Torque on Shaft A to Accelerate Shaft B given Gear Efficiency Formula Elements

Other Formulas to find Torque Applied on Shaft A to Accelerate Shaft B

Other formulas in Torque on Shaft category

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

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

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GoTorque on Shaft A to Accelerate Shaft B Formula