Torque on Shaft B to Accelerate Itself given Gear Ratio 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%

✖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.ⓘ Torque on Shaft B to Accelerate Itself given Gear Ratio [T_B]

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Torque on Shaft B to Accelerate Itself given Gear Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
T_B = G*I_B*α_A
This formula uses 4 Variables

Variables Used

Torque Required on Shaft B to Accelerate Itself - (Measured in Newton Meter) - 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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_B = G*I_B*α_A --> 3*36*25

Evaluating ... ...

T_B = 2700

STEP 3: Convert Result to Output's Unit

2700 Newton Meter --> No Conversion Required

FINAL ANSWER

2700 Newton Meter <-- Torque Required on Shaft B to Accelerate Itself

(Calculation completed in 00.004 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 B to Accelerate Itself given Gear Ratio Formula

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
T_B = G*I_B*α_A

Does more Torque mean faster Acceleration?

Basically, the faster the crankshaft spins with the same amount of force, the more power an engine will make. A car with more horse power than torque will always be quicker since this gives a car acceleration and speed. Higher torque doesn't mean one vehicle will necessarily be faster than another, though.

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

Torque on Shaft B to Accelerate Itself given Gear Ratio calculator 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 calculate 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 calculate Torque on Shaft B to Accelerate Itself given Gear Ratio using this online calculator? To use this online calculator 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. Here is how the Torque on Shaft B to Accelerate Itself given Gear Ratio calculation can be explained with given input values -> 2700 = 3*36*25.

FAQ

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

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 and is represented as T_B = G*I_B*α_A or 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. 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.

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

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 is calculated using 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 calculate Torque on Shaft B to Accelerate Itself given Gear Ratio, you need Gear Ratio (G), Mass Moment of Inertia of Mass Attached to Shaft B (I_B) & Angular Acceleration of Shaft A (α_A). 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 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 Required on Shaft B to Accelerate Itself?

In this formula, Torque Required on Shaft B to Accelerate Itself uses Gear Ratio, Mass Moment of Inertia of Mass Attached to Shaft B & Angular Acceleration of Shaft A. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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