Gear Ratio when Two Shafts A and B are Geared Together Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gear Ratio = Speed of Shaft B in RPM/Speed of Shaft A in RPM
G = NB/NA
This formula uses 3 Variables
Variables Used
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.
Speed of Shaft B in RPM - (Measured in Hertz) - Speed of shaft B in rpm is the speed at which the shaft tends to vibrate violently in transverse direction. The eccentricity of the C.G of the rotating masses from the axis of rotation of the shaft.
Speed of Shaft A in RPM - Speed of shaft A in rpm is the speed at which the shaft tends to vibrate violently in the transverse direction.
STEP 1: Convert Input(s) to Base Unit
Speed of Shaft B in RPM: 6 Revolution per Minute --> 0.1 Hertz (Check conversion here)
Speed of Shaft A in RPM: 9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
G = NB/NA --> 0.1/9
Evaluating ... ...
G = 0.0111111111111111
STEP 3: Convert Result to Output's Unit
0.0111111111111111 --> No Conversion Required
FINAL ANSWER
0.0111111111111111 0.011111 <-- Gear Ratio
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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17 Kinetics Calculators

Loss of Kinetic Energy during Perfectly Inelastic Collision
Go Loss of K.E During Perfectly Inelastic Collision = (Mass of Body A*Mass of Body B*(Initial Velocity of Body A Before the Collision-Initial Velocity of Body B Before the Collision)^2)/(2*(Mass of Body A+Mass of Body B))
Final Velocity of Bodies A and B after Inelastic Collision
Go Final Speed of A and B After Inelastic Collision = (Mass of Body A*Initial Velocity of Body A Before the Collision+Mass of Body B*Initial Velocity of Body B Before the Collision)/(Mass of Body A+Mass of Body B)
Coefficient of Restitution
Go Coefficient of Restitution = (Final Velocity of Body A After Elastic Collision-Final Velocity of Body B After Elastic Collision)/(Initial Velocity of Body B Before the Collision-Initial Velocity of Body A Before the Collision)
Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B
Go Equivalent Mass MOI of Geared System = Mass Moment of Inertia of Mass Attached to Shaft A+(Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)/Gear Efficiency
Kinetic Energy of System after Inelastic Collision
Go Kinetic Energy of System After Inelastic Collision = ((Mass of Body A+Mass of Body B)*Final Speed of A and B After Inelastic Collision^2)/2
Impulsive Force
Go Impulsive Force = (Mass*(Final Velocity-Initial Velocity))/Time Taken to Travel
Loss of Kinetic Energy during Imperfect Elastic Impact
Go Loss of Kinetic Energy During an Elastic Collision = Loss of K.E During Perfectly Inelastic Collision*(1-Coefficient of Restitution^2)
Speed of Guide Pulley
Go Speed of Guide Pulley = Speed of Drum Pulley*Diameter of Drum Pulley/Diameter of Guide Pulley
Centripetal Force or Centrifugal Force for given Angular Velocity and Radius of Curvature
Go Centripetal Force = Mass*Angular Velocity^2*Radius of Curvature
Total Kinetic Energy of Geared System
Go Kinetic Energy = (Equivalent Mass MOI of Geared System*Angular Acceleration of Shaft A^2)/2
Overall Efficiency from Shaft A to X
Go Overall Efficiency from Shaft A to X = Gear Efficiency^Total no. of Gear Pairs
Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A
Go Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A
Gear Ratio when Two Shafts A and B are Geared Together
Go Gear Ratio = Speed of Shaft B in RPM/Speed of Shaft A in RPM
Angular Velocity given Speed in RPM
Go Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60
Efficiency of Machine
Go Gear Efficiency = Output Power/Input Power
Power Loss
Go Power Loss = Input Power-Output Power
Impulse
Go Impulse = Force*Time Taken to Travel

Gear Ratio when Two Shafts A and B are Geared Together Formula

Gear Ratio = Speed of Shaft B in RPM/Speed of Shaft A in RPM
G = NB/NA

What is gear ratio?

The gear ratio in the transmission is the ratio between the rotational speeds of two meshing gears. Since each gear has a different diameter, each of the axes rotates at a different speed when they are both engaged. Modifying the gear ratio is the equivalent of modifying the torque that is applied.

How to Calculate Gear Ratio when Two Shafts A and B are Geared Together?

Gear Ratio when Two Shafts A and B are Geared Together calculator uses Gear Ratio = Speed of Shaft B in RPM/Speed of Shaft A in RPM to calculate the Gear Ratio, The Gear ratio when two shafts A and B are geared together in the transmission is the ratio between the rotational speeds of two meshing gears. Since each gear has a different diameter, each of the axes rotates at a different speed when they are both engaged. Modifying the gear ratio is the equivalent of modifying the torque that is applied. Gear Ratio is denoted by G symbol.

How to calculate Gear Ratio when Two Shafts A and B are Geared Together using this online calculator? To use this online calculator for Gear Ratio when Two Shafts A and B are Geared Together, enter Speed of Shaft B in RPM (NB) & Speed of Shaft A in RPM (NA) and hit the calculate button. Here is how the Gear Ratio when Two Shafts A and B are Geared Together calculation can be explained with given input values -> 0.011111 = 0.1/9.

FAQ

What is Gear Ratio when Two Shafts A and B are Geared Together?
The Gear ratio when two shafts A and B are geared together in the transmission is the ratio between the rotational speeds of two meshing gears. Since each gear has a different diameter, each of the axes rotates at a different speed when they are both engaged. Modifying the gear ratio is the equivalent of modifying the torque that is applied and is represented as G = NB/NA or Gear Ratio = Speed of Shaft B in RPM/Speed of Shaft A in RPM. Speed of shaft B in rpm is the speed at which the shaft tends to vibrate violently in transverse direction. The eccentricity of the C.G of the rotating masses from the axis of rotation of the shaft & Speed of shaft A in rpm is the speed at which the shaft tends to vibrate violently in the transverse direction.
How to calculate Gear Ratio when Two Shafts A and B are Geared Together?
The Gear ratio when two shafts A and B are geared together in the transmission is the ratio between the rotational speeds of two meshing gears. Since each gear has a different diameter, each of the axes rotates at a different speed when they are both engaged. Modifying the gear ratio is the equivalent of modifying the torque that is applied is calculated using Gear Ratio = Speed of Shaft B in RPM/Speed of Shaft A in RPM. To calculate Gear Ratio when Two Shafts A and B are Geared Together, you need Speed of Shaft B in RPM (NB) & Speed of Shaft A in RPM (NA). With our tool, you need to enter the respective value for Speed of Shaft B in RPM & Speed of Shaft A in RPM 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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