Torque on Shaft A to Accelerate Shaft B Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
TAB = G^2*IB*αA
This formula uses 4 Variables
Variables Used
Torque Applied on Shaft A to Accelerate Shaft B - (Measured in Newton Meter) - Torque applied on shaft A to accelerate shaft B 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.
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
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
TAB = G^2*IBA --> 3^2*36*25
Evaluating ... ...
TAB = 8100
STEP 3: Convert Result to Output's Unit
8100 Newton Meter --> No Conversion Required
FINAL ANSWER
8100 Newton Meter <-- Torque Applied on Shaft A to Accelerate Shaft B
(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

Torque on Shaft A to Accelerate Shaft B 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
TAB = G^2*IB*αA

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 Torque on Shaft A to Accelerate Shaft B?

Torque on Shaft A to Accelerate Shaft B calculator 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 calculate the Torque Applied on Shaft A to Accelerate Shaft B, Torque on shaft A to accelerate shaft B 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. Torque Applied on Shaft A to Accelerate Shaft B is denoted by TAB symbol.

How to calculate Torque on Shaft A to Accelerate Shaft B using this online calculator? To use this online calculator for Torque on Shaft A to Accelerate Shaft B, enter Gear Ratio (G), Mass Moment of Inertia of Mass Attached to Shaft B (IB) & Angular Acceleration of Shaft A A) and hit the calculate button. Here is how the Torque on Shaft A to Accelerate Shaft B calculation can be explained with given input values -> 8100 = 3^2*36*25.

FAQ

What is Torque on Shaft A to Accelerate Shaft B?
Torque on shaft A to accelerate shaft B 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 TAB = G^2*IBA or 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. 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 Torque on Shaft A to Accelerate Shaft B?
Torque on shaft A to accelerate shaft B 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 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 calculate Torque on Shaft A to Accelerate Shaft B, you need Gear Ratio (G), Mass Moment of Inertia of Mass Attached to Shaft B (IB) & Angular Acceleration of Shaft A 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 Applied on Shaft A to Accelerate Shaft B?
In this formula, Torque Applied on Shaft A to Accelerate Shaft B 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 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
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