Total Torque Applied to Shaft A to Accelerate Geared System Calculator

✖Mass Moment of Inertia of mass attached to shaft A is a quantity expressing a body's tendency to resist angular acceleration.ⓘ Mass Moment of Inertia of Mass Attached to Shaft A [I_A]			+10% -10%
✖The Gear Ratio is the ratio of output gear speed to the input gear speed or the ratio of number of teeth on gear to that on the pinion.ⓘ Gear Ratio [G]			+10% -10%
✖Mass Moment of Inertia of mass attached to shaft B is a quantity expressing a body's tendency to resist angular acceleration.ⓘ Mass Moment of Inertia of Mass Attached to Shaft B [I_B]			+10% -10%
✖The Angular Acceleration of Shaft A is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit time.ⓘ Angular Acceleration of Shaft A [α_A]			+10% -10%

✖Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.ⓘ Total Torque Applied to Shaft A to Accelerate Geared System [T]

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Formula

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Total Torque Applied to Shaft A to Accelerate Geared System

Formula

`"T" = ("I"_{"A"}+"G"^2*"I"_{"B"})*"α"_{"A"}`

Example

`"8550N*m"=("18kg·m²"+("3")^2*"36kg·m²")*"25"`

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Total Torque Applied to Shaft A to Accelerate Geared System Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
T = (I_A+G^2*I_B)*α_A
This formula uses 5 Variables

Variables Used

Total Torque - (Measured in Newton Meter) - Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.
Mass Moment of Inertia of Mass Attached to Shaft A - (Measured in Kilogram Square Meter) - Mass Moment of Inertia of mass attached to shaft A is a quantity expressing a body's tendency to resist angular acceleration.
Gear Ratio - The Gear Ratio is the ratio of output gear speed to the input gear speed or the ratio of number of teeth on gear to that on the pinion.
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 quantity expressing a body's tendency to resist angular acceleration.
Angular Acceleration of Shaft A - The Angular Acceleration of Shaft A is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit time.

STEP 1: Convert Input(s) to Base Unit

Mass Moment of Inertia of Mass Attached to Shaft A: 18 Kilogram Square Meter --> 18 Kilogram Square Meter No Conversion Required
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 = (I_A+G^2*I_B)*α_A --> (18+3^2*36)*25

Evaluating ... ...

T = 8550

STEP 3: Convert Result to Output's Unit

8550 Newton Meter --> No Conversion Required

FINAL ANSWER

8550 Newton Meter <-- Total Torque

(Calculation completed in 00.004 seconds)

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< 8 Torque on Shaft Calculators

Total Torque Applied to Shaft A to Accelerate Geared System

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 A to Accelerate Shaft B given Gear Efficiency

Go 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

Torque on Shaft A to Accelerate Shaft B

Go 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

Torque on Shaft B to Accelerate Itself given Gear Ratio

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

Impulsive Torque

Go Impulsive Torque = (Moment of Inertia*(Final Angular Velocity-Angular Velocity))/Time Taken to Travel

Torque required on Shaft A to Accelerate Itself given M.I of A and Angular Acceleration of Shaft A

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

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

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

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

Total Torque Applied to Shaft A to Accelerate Geared System 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
T = (I_A+G^2*I_B)*α_A

Does torque cause angular acceleration?

Torque is a measure of the force that can cause an object to rotate about an axis. Just as a force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration.

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

Total Torque Applied to Shaft A to Accelerate Geared System calculator 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 calculate the Total Torque, Total Torque applied to Shaft A to Accelerate Geared System as torque is a measure of the force that can cause an object to rotate about an axis. Just as a force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration. Total Torque is denoted by T symbol.

How to calculate Total Torque Applied to Shaft A to Accelerate Geared System using this online calculator? To use this online calculator 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. Here is how the Total Torque Applied to Shaft A to Accelerate Geared System calculation can be explained with given input values -> 8550 = (18+3^2*36)*25.

FAQ

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

Total Torque applied to Shaft A to Accelerate Geared System as torque is a measure of the force that can cause an object to rotate about an axis. Just as a force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration and is represented as T = (I_A+G^2*I_B)*α_A or 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. Mass Moment of Inertia of mass attached to shaft A is a quantity expressing a body's tendency to resist angular acceleration, The Gear Ratio is the ratio of output gear speed to the input gear speed or the ratio of number of teeth on gear to that on the pinion, Mass Moment of Inertia of mass attached to shaft B is a quantity expressing a body's tendency to resist angular acceleration & The Angular Acceleration of Shaft A is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit time.

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

Total Torque applied to Shaft A to Accelerate Geared System as torque is a measure of the force that can cause an object to rotate about an axis. Just as a force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration is calculated using 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 calculate Total Torque Applied to Shaft A to Accelerate Geared System, you need 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). With our tool, you need to enter the respective value for Mass Moment of Inertia of Mass Attached to Shaft A, 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 Total Torque?

In this formula, Total Torque uses Mass Moment of Inertia of Mass Attached to Shaft A, 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 -

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

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