Movement Ratio given Load and Effort Solution

STEP 0: Pre-Calculation Summary
Formula Used
Movement Ratio = Output Load at Rack/Input Effort at Stepping Wheel
MR = W/E
This formula uses 3 Variables
Variables Used
Movement Ratio - Movement Ratio is defined as the ratio of the distance moved by the effort to the distance moved by the load.
Output Load at Rack - (Measured in Newton) - Output Load at Rack is the force that is transmitted to the pivot arm at end of rack.
Input Effort at Stepping Wheel - (Measured in Newton) - Input Effort at Stepping Wheel is the force applied on to the steering wheel to turn it.
STEP 1: Convert Input(s) to Base Unit
Output Load at Rack: 1000 Newton --> 1000 Newton No Conversion Required
Input Effort at Stepping Wheel: 50 Newton --> 50 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
MR = W/E --> 1000/50
Evaluating ... ...
MR = 20
STEP 3: Convert Result to Output's Unit
20 --> No Conversion Required
FINAL ANSWER
20 <-- Movement Ratio
(Calculation completed in 00.020 seconds)

Credits

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala
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9 Movement Ratio Calculators

Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch
Go Radius of Steering Wheel = Movement Ratio/(2*pi/(Number of Teeth on Pnion*Circular Pitch of Pinion))
Movement Ratio given Number of Teeth on Pinion
Go Movement Ratio = 2*pi*Radius of Steering Wheel/(Number of Teeth on Pnion*Circular Pitch of Pinion)
Pinion Teeth given Movement Ratio
Go Number of Teeth on Pnion = 2*pi*Radius of Steering Wheel/(Circular Pitch of Pinion*Movement Ratio)
Radius of Pinion Pitch Circle given Movement Ratio
Go Radius of Pitch Circle of Pinion = Radius of Steering Wheel/Movement Ratio
Radius of Steering Wheel given Movement Ratio
Go Radius of Steering Wheel = Movement Ratio*Radius of Pitch Circle of Pinion
Movement Ratio
Go Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion
Input Effort at Steering Wheel given Movement Ratio
Go Input Effort at Stepping Wheel = Output Load at Rack/Movement Ratio
Output Load at Rack given Movement Ratio
Go Output Load at Rack = Movement Ratio*Input Effort at Stepping Wheel
Movement Ratio given Load and Effort
Go Movement Ratio = Output Load at Rack/Input Effort at Stepping Wheel

Movement Ratio given Load and Effort Formula

Movement Ratio = Output Load at Rack/Input Effort at Stepping Wheel
MR = W/E

Rack and Pinion Steering System

It is used on light vehicles like cars and in power steering. It is simple, light and responsive and occupies a very small space and used a lesser number of linkage components compared to the worm and wheel type of gear. The rotary movement of steering wheel is transmitted with rack. The circular motion of the pinion is transformed into linear rack movement, which is further relayed through ball joints and tie rods to the stub axles for the wheels to be steered.

How to Calculate Movement Ratio given Load and Effort?

Movement Ratio given Load and Effort calculator uses Movement Ratio = Output Load at Rack/Input Effort at Stepping Wheel to calculate the Movement Ratio, The Movement Ratio given Load and Effort formula is used to find the ratio of the distance moved by the effort to the distance moved by the load. Movement Ratio is denoted by MR symbol.

How to calculate Movement Ratio given Load and Effort using this online calculator? To use this online calculator for Movement Ratio given Load and Effort, enter Output Load at Rack (W) & Input Effort at Stepping Wheel (E) and hit the calculate button. Here is how the Movement Ratio given Load and Effort calculation can be explained with given input values -> 20 = 1000/50.

FAQ

What is Movement Ratio given Load and Effort?
The Movement Ratio given Load and Effort formula is used to find the ratio of the distance moved by the effort to the distance moved by the load and is represented as MR = W/E or Movement Ratio = Output Load at Rack/Input Effort at Stepping Wheel. Output Load at Rack is the force that is transmitted to the pivot arm at end of rack & Input Effort at Stepping Wheel is the force applied on to the steering wheel to turn it.
How to calculate Movement Ratio given Load and Effort?
The Movement Ratio given Load and Effort formula is used to find the ratio of the distance moved by the effort to the distance moved by the load is calculated using Movement Ratio = Output Load at Rack/Input Effort at Stepping Wheel. To calculate Movement Ratio given Load and Effort, you need Output Load at Rack (W) & Input Effort at Stepping Wheel (E). With our tool, you need to enter the respective value for Output Load at Rack & Input Effort at Stepping Wheel 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 Movement Ratio?
In this formula, Movement Ratio uses Output Load at Rack & Input Effort at Stepping Wheel. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion
  • Movement Ratio = 2*pi*Radius of Steering Wheel/(Number of Teeth on Pnion*Circular Pitch of Pinion)
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