Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A 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%
✖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%

✖Angular Acceleration of Shaft B is the rate of change of angular velocity of Shaft B, describing its rotational motion around a fixed axis.ⓘ Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A [α_B]

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Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A
α_B = G*α_A
This formula uses 3 Variables

Variables Used

Angular Acceleration of Shaft B - Angular Acceleration of Shaft B is the rate of change of angular velocity of Shaft B, describing its rotational motion around a fixed axis.
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.
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
Angular Acceleration of Shaft A: 25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_B = G*α_A --> 3*25

Evaluating ... ...

α_B = 75

STEP 3: Convert Result to Output's Unit

75 --> No Conversion Required

FINAL ANSWER

75 <-- Angular Acceleration of Shaft B

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A

LaTeX Go Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A

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Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A Formula

LaTeX Go

Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A
α_B = G*α_A

What is Angular Acceleration?

The angular acceleration is the time rate of change of the angular velocity and is usually designated by α and expressed in radians per second per second.

How to Calculate Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A?

Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A calculator uses Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A to calculate the Angular Acceleration of Shaft B, Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A formula is defined as a measure of the rotational acceleration of Shaft B in a mechanical system, influenced by the gear ratio and the angular acceleration of Shaft A, providing insight into the kinetic motion of the system. Angular Acceleration of Shaft B is denoted by α_B symbol.

How to calculate Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A using this online calculator? To use this online calculator for Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A, enter Gear Ratio (G) & Angular Acceleration of Shaft A (α_A) and hit the calculate button. Here is how the Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A calculation can be explained with given input values -> 75 = 3*25.

FAQ

What is Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A?

Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A formula is defined as a measure of the rotational acceleration of Shaft B in a mechanical system, influenced by the gear ratio and the angular acceleration of Shaft A, providing insight into the kinetic motion of the system and is represented as α_B = G*α_A or Angular Acceleration of Shaft B = Gear Ratio*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 & 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 Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A?

Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A formula is defined as a measure of the rotational acceleration of Shaft B in a mechanical system, influenced by the gear ratio and the angular acceleration of Shaft A, providing insight into the kinetic motion of the system is calculated using Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A. To calculate Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A, you need Gear Ratio (G) & Angular Acceleration of Shaft A (α_A). With our tool, you need to enter the respective value for Gear Ratio & 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.

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