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Net Shortening of String in Worm Gear Pulley Block Formula

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Net Shortening of String is the difference of displacement of the effort in one revolution of the larger pulley and smaller pulley. Check FAQs

L s = \frac{2 \cdot π \cdot R}{T w}

L_s - Net Shortening of String?R - Radius of Pulley?T_w - Number of Teeth on Worm Wheel?π - Archimedes' constant?

Net Shortening of String in Worm Gear Pulley Block Example

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Here is how the Net Shortening of String in Worm Gear Pulley Block equation looks like with Values.

Here is how the Net Shortening of String in Worm Gear Pulley Block equation looks like with Units.

Here is how the Net Shortening of String in Worm Gear Pulley Block equation looks like.

0.2749 = \frac{2 \cdot 3.1416 \cdot 1.4}{32}

0.2749m = \frac{2 \cdot 3.1416 \cdot 1.4m}{32}

0.2749 = \frac{2 \cdot 3.1416 \cdot 1.4}{32}

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Net Shortening of String in Worm Gear Pulley Block Solution

Follow our step by step solution on how to calculate Net Shortening of String in Worm Gear Pulley Block?

FIRST Step Consider the formula

L s = \frac{2 \cdot π \cdot R}{T w}

Next Step Substitute values of Variables

∴

L s = \frac{2 \cdot π \cdot 1.4m}{32}

Next Step Substitute values of Constants

∴

L s = \frac{2 \cdot 3.1416 \cdot 1.4m}{32}

Next Step Prepare to Evaluate

∴

L s = \frac{2 \cdot 3.1416 \cdot 1.4}{32}

Next Step Evaluate

∴

L s = 0.274889357189107m

LAST Step Rounding Answer

∴

L s = 0.2749m

Net Shortening of String in Worm Gear Pulley Block Formula Elements

Variables

Constants

Net Shortening of String

Net Shortening of String is the difference of displacement of the effort in one revolution of the larger pulley and smaller pulley.

Symbol: L_s

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Net Shortening of String

Radius of Pulley

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.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Pulley

Number of Teeth on Worm Wheel

The Number of Teeth on Worm Wheel is the count of teeth on the wheel.

Symbol: T_w

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Teeth on Worm Wheel

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Pulley Block category

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

L c = π \cdot (d l - d s)

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

V i = 2 \cdot \frac{T 1}{T 1 - T 2}

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

V i = 2 \cdot \frac{r 1}{r 1 - r 2}

Go Efficiency of Weston's Differential Pulley Block

η = \frac{M a}{V i}

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

Net Shortening of String in Worm Gear Pulley Block evaluator uses Net Shortening of String = (2*pi*Radius of Pulley)/Number of Teeth on Worm Wheel to evaluate 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 evaluate Net Shortening of String in Worm Gear Pulley Block using this online evaluator? To use this online evaluator 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.

FAQs on Net Shortening of String in Worm Gear Pulley Block

What is the formula to find Net Shortening of String in Worm Gear Pulley Block?

The formula of Net Shortening of String in Worm Gear Pulley Block is expressed as Net Shortening of String = (2*pi*Radius of Pulley)/Number of Teeth on Worm Wheel. Here is an example- 0.274889 = (2*pi*1.4)/32.

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

With Radius of Pulley (R) & Number of Teeth on Worm Wheel (T_w) we can find Net Shortening of String in Worm Gear Pulley Block using the formula - Net Shortening of String = (2*pi*Radius of Pulley)/Number of Teeth on Worm Wheel. This formula also uses Archimedes' constant .

Can the Net Shortening of String in Worm Gear Pulley Block be negative?

Yes, the Net Shortening of String in Worm Gear Pulley Block, measured in Length can be negative.

Which unit is used to measure Net Shortening of String in Worm Gear Pulley Block?

Net Shortening of String in Worm Gear Pulley Block is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Net Shortening of String in Worm Gear Pulley Block can be measured.

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