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Torque on Shaft B to Accelerate Itself given Gear Ratio Formula

GoTorque on Shaft B to Accelerate Itself given M.I and Angular Acceleration Formula

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Torque Required on Shaft B to Accelerate Itself is the rotational force required to change the rotational motion of Shaft B in a kinetic system. Check FAQs

T B = G \cdot I B \cdot α A

T_B - Torque Required on Shaft B to Accelerate Itself?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 B to Accelerate Itself given Gear Ratio Example

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

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

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

2700 = 3 \cdot 36 \cdot 25

2700N*m = 3 \cdot 36kg·m² \cdot 25

2700 = 3 \cdot 36 \cdot 25

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Torque on Shaft B to Accelerate Itself given Gear Ratio Solution

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

FIRST Step Consider the formula

T B = G \cdot I B \cdot α A

Next Step Substitute values of Variables

∴

T B = 3 \cdot 36kg·m² \cdot 25

Next Step Prepare to Evaluate

∴

T B = 3 \cdot 36 \cdot 25

LAST Step Evaluate

∴

T B = 2700N*m

Torque on Shaft B to Accelerate Itself given Gear Ratio Formula Elements

Variables

Torque Required on Shaft B to Accelerate Itself

Torque Required on Shaft B to Accelerate Itself is the rotational force required to change the rotational motion of Shaft B in a kinetic system.

Symbol: T_B

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Torque Required on Shaft B to Accelerate Itself

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 Required on Shaft B to Accelerate Itself

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

T B = I B \cdot α B

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 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 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 Torque on Shaft B to Accelerate Itself given Gear Ratio?

Torque on Shaft B to Accelerate Itself given Gear Ratio evaluator uses 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 to evaluate the Torque Required on Shaft B to Accelerate Itself, Torque on Shaft B to Accelerate Itself given Gear Ratio formula is defined as the rotational force required to accelerate a shaft, considering the gear ratio, moment of inertia, and angular acceleration of the shaft, which is essential in understanding the kinetics of motion and designing mechanical systems. Torque Required on Shaft B to Accelerate Itself is denoted by T_B symbol.

How to evaluate Torque on Shaft B to Accelerate Itself given Gear Ratio using this online evaluator? To use this online evaluator for Torque on Shaft B to Accelerate Itself given Gear Ratio, 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 B to Accelerate Itself given Gear Ratio

What is the formula to find Torque on Shaft B to Accelerate Itself given Gear Ratio?

The formula of Torque on Shaft B to Accelerate Itself given Gear Ratio is expressed as 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. Here is an example- 2700 = 3*36*25.

How to calculate Torque on Shaft B to Accelerate Itself given Gear Ratio?

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 B to Accelerate Itself given Gear Ratio using the formula - 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.

What are the other ways to Calculate Torque Required on Shaft B to Accelerate Itself?

Here are the different ways to Calculate Torque Required on Shaft B to Accelerate Itself-

Torque Required on Shaft B to Accelerate Itself=Mass Moment of Inertia of Mass Attached to Shaft B*Angular Acceleration of Shaft B

Can the Torque on Shaft B to Accelerate Itself given Gear Ratio be negative?

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

Which unit is used to measure Torque on Shaft B to Accelerate Itself given Gear Ratio?

Torque on Shaft B to Accelerate Itself given Gear Ratio 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 B to Accelerate Itself given Gear Ratio can be measured.

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