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

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Worm Wheel

✖Diameter of larger pulley is the greater value of the diameter between the two pulleys.ⓘ Diameter of Larger Pulley [d_lp]			+10% -10%
✖Diameter of smaller pulley is the smaller value of diameter between the two pulleys.ⓘ Diameter of Smaller Pulley [d_sp]			+10% -10%

✖Net Shortening of Chain is the difference of displacement of the effort in one revolution of the larger pulley and smaller pulley.ⓘ Net Shortening of Chain in Weston's Differential Pulley Block [L_c]

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Formula

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Net Shortening of Chain in Weston's Differential Pulley Block

Formula

`"L"_{"c"} = pi*("d"_{"lp"}-"d"_{"sp"})`

Example

`"0.062832m"=pi*("0.06m"-"0.04m")`

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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)
L_c = pi*(d_lp-d_sp)
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

L_c = pi*(d_lp-d_sp) --> pi*(0.06-0.04)

Evaluating ... ...

L_c = 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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< 9 Pulley Block Calculators

Velocity Ratio in Weston's Differential Pulley given Number of Teeth

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 Block

Go Velocity Ratio = (2*Diameter of Larger Pulley)/(Diameter of Larger Pulley-Diameter of Smaller Pulley)

Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys

Go Velocity Ratio = 2*Radii of Larger Pulley/(Radii of Larger Pulley-Radii of Smaller Pulley)

Velocity Ratio of Worm Geared Pulley Block

Go Velocity Ratio = (Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/Radius of Pulley

Net Shortening of Chain in Weston's Differential Pulley Block

Go Net Shortening of Chain = pi*(Diameter of Larger Pulley-Diameter of Smaller Pulley)

Net Shortening of String in Worm Gear Pulley Block

Go Net Shortening of String = (2*pi*Radius of Pulley)/Number of Teeth on Worm Wheel

Efficiency of Weston's Differential Pulley Block

Go Efficiency = Mechanical Advantage/Velocity Ratio

Efficiency of Worm Geared Pulley Block

Go Efficiency = Mechanical Advantage/Velocity Ratio

Efficiency of Geared Pulley Block

Go Efficiency = Mechanical Advantage/Velocity Ratio

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

Net Shortening of Chain = pi*(Diameter of Larger Pulley-Diameter of Smaller Pulley)
L_c = pi*(d_lp-d_sp)

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, The Net shortening of chain in weston's differential pulley block formula is defined as the π times of difference of diameter of larger pulley and diameter of smaller pulley. Net Shortening of Chain is denoted by L_c 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 (d_lp) & Diameter of Smaller Pulley (d_sp) 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?

The Net shortening of chain in weston's differential pulley block formula is defined as the π times of difference of diameter of larger pulley and diameter of smaller pulley and is represented as L_c = pi*(d_lp-d_sp) 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?

The Net shortening of chain in weston's differential pulley block formula is defined as the π times of difference of diameter of larger pulley and diameter of smaller pulley 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 (d_lp) & Diameter of Smaller Pulley (d_sp). 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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