Net Shortening of Chain in Weston's Differential Pulley Block Solution

STEP 0: Pre-Calculation Summary
Formula Used
Net Shortening of Chain = pi*(Diameter of Larger Pulley-Diameter of Smaller Pulley)
Lc = pi*(dl-ds)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Net Shortening of Chain - (Measured in Meter) - Net Shortening of Chain is the difference of displacement of the effort in one revolution of the larger pulley and smaller pulley.
Diameter of Larger Pulley - (Measured in Meter) - Diameter of Larger Pulley is the greater value of the diameter between the two pulleys.
Diameter of Smaller Pulley - (Measured in Meter) - Diameter of smaller pulley is the smaller value of diameter between the two pulleys.
STEP 1: Convert Input(s) to Base Unit
Diameter of Larger Pulley: 0.06 Meter --> 0.06 Meter No Conversion Required
Diameter of Smaller Pulley: 0.04 Meter --> 0.04 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lc = pi*(dl-ds) --> pi*(0.06-0.04)
Evaluating ... ...
Lc = 0.0628318530717959
STEP 3: Convert Result to Output's Unit
0.0628318530717959 Meter --> No Conversion Required
FINAL ANSWER
0.0628318530717959 0.062832 Meter <-- Net Shortening of Chain
(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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Pulley Block Calculators

Velocity Ratio in Weston's Differential Pulley given Number of Teeth
​ LaTeX ​ Go Velocity Ratio = 2*Number of Teeth of Larger Pulley/(Number of Teeth of Larger Pulley-Number of Teeth of Smaller Pulley)
Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys
​ LaTeX ​ Go Velocity Ratio = 2*Radius of Larger Pulley/(Radius of Larger Pulley-Radius of Smaller Pulley)
Net Shortening of Chain in Weston's Differential Pulley Block
​ LaTeX ​ Go Net Shortening of Chain = pi*(Diameter of Larger Pulley-Diameter of Smaller Pulley)
Efficiency of Weston's Differential Pulley Block
​ LaTeX ​ Go Efficiency = Mechanical Advantage/Velocity Ratio

Net Shortening of Chain in Weston's Differential Pulley Block Formula

​LaTeX ​Go
Net Shortening of Chain = pi*(Diameter of Larger Pulley-Diameter of Smaller Pulley)
Lc = pi*(dl-ds)

What is velocity ratio?

Velocity ratio is the ratio of distance moved by the effort to distance moved by load in the same interval of time.

How to Calculate Net Shortening of Chain in Weston's Differential Pulley Block?

Net Shortening of Chain in Weston's Differential Pulley Block calculator uses Net Shortening of Chain = pi*(Diameter of Larger Pulley-Diameter of Smaller Pulley) to calculate the Net Shortening of Chain, Net Shortening of Chain in Weston's Differential Pulley Block refers to the amount by which the chain effectively shortens as the load is lifted. Net Shortening of Chain is denoted by Lc symbol.

How to calculate Net Shortening of Chain in Weston's Differential Pulley Block using this online calculator? To use this online calculator for Net Shortening of Chain in Weston's Differential Pulley Block, enter Diameter of Larger Pulley (dl) & Diameter of Smaller Pulley (ds) and hit the calculate button. Here is how the Net Shortening of Chain in Weston's Differential Pulley Block calculation can be explained with given input values -> 0.062832 = pi*(0.06-0.04).

FAQ

What is Net Shortening of Chain in Weston's Differential Pulley Block?
Net Shortening of Chain in Weston's Differential Pulley Block refers to the amount by which the chain effectively shortens as the load is lifted and is represented as Lc = pi*(dl-ds) or Net Shortening of Chain = pi*(Diameter of Larger Pulley-Diameter of Smaller Pulley). Diameter of Larger Pulley is the greater value of the diameter between the two pulleys & Diameter of smaller pulley is the smaller value of diameter between the two pulleys.
How to calculate Net Shortening of Chain in Weston's Differential Pulley Block?
Net Shortening of Chain in Weston's Differential Pulley Block refers to the amount by which the chain effectively shortens as the load is lifted is calculated using Net Shortening of Chain = pi*(Diameter of Larger Pulley-Diameter of Smaller Pulley). To calculate Net Shortening of Chain in Weston's Differential Pulley Block, you need Diameter of Larger Pulley (dl) & Diameter of Smaller Pulley (ds). With our tool, you need to enter the respective value for Diameter of Larger Pulley & Diameter of Smaller Pulley 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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