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Torque on Shaft A to Accelerate Shaft B Formula

GoTorque on Shaft A to Accelerate Shaft B given Gear Efficiency 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 = G^{2} \cdot I B \cdot α A

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?

Torque on Shaft A to Accelerate Shaft B Example

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

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

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

8100 = 3^{2} \cdot 36 \cdot 25

8100N*m = 3^{2} \cdot 36kg·m² \cdot 25

8100 = 3^{2} \cdot 36 \cdot 25

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Torque on Shaft A to Accelerate Shaft B Solution

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

FIRST Step Consider the formula

T AB = G^{2} \cdot I B \cdot α A

Next Step Substitute values of Variables

∴

T AB = 3^{2} \cdot 36kg·m² \cdot 25

Next Step Prepare to Evaluate

∴

T AB = 3^{2} \cdot 36 \cdot 25

LAST Step Evaluate

∴

T AB = 8100N*m

Torque on Shaft A to Accelerate Shaft B 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

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

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

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

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?

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

FAQs on Torque on Shaft A to Accelerate Shaft B

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

The formula of Torque on Shaft A to Accelerate Shaft B is expressed as 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. Here is an example- 8100 = 3^2*36*25.

How to calculate Torque on Shaft A to Accelerate Shaft B?

With 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 Torque on Shaft A to Accelerate Shaft B using the formula - 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.

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*Mass Moment of Inertia of Mass Attached to Shaft B*Angular Acceleration of Shaft A)/Gear Efficiency

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

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

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

Torque on Shaft A to Accelerate Shaft B 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 can be measured.

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