Net Shortening of String in Worm Gear Pulley Block Calculator

✖Radius of Pulley is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.ⓘ Radius of Pulley [R]			+10% -10%
✖The Number of Teeth on Worm Wheel is the count of teeth on the wheel.ⓘ Number of Teeth on Worm Wheel [T_w]			+10% -10%

✖Net Shortening of String is the difference of displacement of the effort in one revolution of the larger pulley and smaller pulley.ⓘ Net Shortening of String in Worm Gear Pulley Block [L_s]

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Net Shortening of String in Worm Gear Pulley Block Solution

STEP 0: Pre-Calculation Summary

Formula Used

Net Shortening of String = (2*pi*Radius of Pulley)/Number of Teeth on Worm Wheel
L_s = (2*pi*R)/T_w
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Net Shortening of String - (Measured in Meter) - Net Shortening of String is the difference of displacement of the effort in one revolution of the larger pulley and smaller pulley.
Radius of Pulley - (Measured in Meter) - Radius of Pulley is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
Number of Teeth on Worm Wheel - The Number of Teeth on Worm Wheel is the count of teeth on the wheel.

STEP 1: Convert Input(s) to Base Unit

Radius of Pulley: 1.4 Meter --> 1.4 Meter No Conversion Required
Number of Teeth on Worm Wheel: 32 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_s = (2*pi*R)/T_w --> (2*pi*1.4)/32

Evaluating ... ...

L_s = 0.274889357189107

STEP 3: Convert Result to Output's Unit

0.274889357189107 Meter --> No Conversion Required

FINAL ANSWER

0.274889357189107 ≈ 0.274889 Meter <-- Net Shortening of String

(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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National Institute of Technology (NIT), Tiruchirapalli

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Net Shortening of String in Worm Gear Pulley Block Formula

LaTeX Go

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

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 String in Worm Gear Pulley Block?

Net Shortening of String in Worm Gear Pulley Block calculator uses Net Shortening of String = (2*pi*Radius of Pulley)/Number of Teeth on Worm Wheel to calculate the Net Shortening of String, Net Shortening of String in Worm Gear Pulley Block refers to the vertical distance by which the load is lifted when the string or rope is pulled or wound around the drum or pulley. This shortening is a result of the rotation of the worm gear, which drives the pulley. Net Shortening of String is denoted by L_s symbol.

How to calculate Net Shortening of String in Worm Gear Pulley Block using this online calculator? To use this online calculator for Net Shortening of String in Worm Gear Pulley Block, enter Radius of Pulley (R) & Number of Teeth on Worm Wheel (T_w) and hit the calculate button. Here is how the Net Shortening of String in Worm Gear Pulley Block calculation can be explained with given input values -> 0.274889 = (2*pi*1.4)/32.

FAQ

What is Net Shortening of String in Worm Gear Pulley Block?

Net Shortening of String in Worm Gear Pulley Block refers to the vertical distance by which the load is lifted when the string or rope is pulled or wound around the drum or pulley. This shortening is a result of the rotation of the worm gear, which drives the pulley and is represented as L_s = (2*pi*R)/T_w or Net Shortening of String = (2*pi*Radius of Pulley)/Number of Teeth on Worm Wheel. Radius of Pulley is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length & The Number of Teeth on Worm Wheel is the count of teeth on the wheel.

How to calculate Net Shortening of String in Worm Gear Pulley Block?

Net Shortening of String in Worm Gear Pulley Block refers to the vertical distance by which the load is lifted when the string or rope is pulled or wound around the drum or pulley. This shortening is a result of the rotation of the worm gear, which drives the pulley is calculated using Net Shortening of String = (2*pi*Radius of Pulley)/Number of Teeth on Worm Wheel. To calculate Net Shortening of String in Worm Gear Pulley Block, you need Radius of Pulley (R) & Number of Teeth on Worm Wheel (T_w). With our tool, you need to enter the respective value for Radius of Pulley & Number of Teeth on Worm Wheel 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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