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
TB = G*IB*αA
This formula uses 4 Variables
Variables Used
Torque Required on Shaft B to Accelerate Itself - (Measured in Newton Meter) - The torque required on shaft B to accelerate itself 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
TB = G*IBA --> 3*36*25
Evaluating ... ...
TB = 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)

Credits

Created by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has created this Calculator and 600+ more calculators!
Verified by Himanshi Sharma
Bhilai Institute of Technology (BIT), Raipur
Himanshi Sharma has verified this Calculator and 800+ more calculators!

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 B to Accelerate Itself given Gear Ratio 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
TB = G*IB*αA

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 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 Required on Shaft B to Accelerate Itself is denoted by TB 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 (IB) & Angular Acceleration of Shaft A 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 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 TB = G*IBA 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. 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 B to Accelerate Itself given Gear Ratio?
Torque on Shaft B to Accelerate Itself given Gear Ratio 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 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 (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 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!