Velocity Ratio of Worm Geared Pulley Block Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity Ratio = (Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/Radius of Pulley
i = (dw*Tww)/R
This formula uses 4 Variables
Variables Used
Velocity Ratio - Velocity ratio is the distance through which any part of a machine moves to that which the driving part moves during the same time.
Diameter of Effort Wheel - (Measured in Meter) - Diameter of effort wheel is a chord that runs through the center point of the circle.
Number of Teeth on Worm Wheel - The Number of Teeth on Worm Wheel is the count of teeth on the wheel.
Radius of Pulley - (Measured in Meter) - The 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.
STEP 1: Convert Input(s) to Base Unit
Diameter of Effort Wheel: 0.3 Meter --> 0.3 Meter No Conversion Required
Number of Teeth on Worm Wheel: 32 --> No Conversion Required
Radius of Pulley: 1.4 Meter --> 1.4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
i = (dw*Tww)/R --> (0.3*32)/1.4
Evaluating ... ...
i = 6.85714285714286
STEP 3: Convert Result to Output's Unit
6.85714285714286 --> No Conversion Required
FINAL ANSWER
6.85714285714286 6.857143 <-- Velocity Ratio
(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad
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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

Velocity Ratio of Worm Geared Pulley Block Formula

Velocity Ratio = (Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/Radius of Pulley
i = (dw*Tww)/R

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 Velocity Ratio of Worm Geared Pulley Block?

Velocity Ratio of Worm Geared Pulley Block calculator uses Velocity Ratio = (Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/Radius of Pulley to calculate the Velocity Ratio, The Velocity ratio of worm geared pulley block formula is defined as the ratio of the product of diameter of the effort wheel and the number of teeth on the worm wheel to the radius of the pulley. Velocity Ratio is denoted by i symbol.

How to calculate Velocity Ratio of Worm Geared Pulley Block using this online calculator? To use this online calculator for Velocity Ratio of Worm Geared Pulley Block, enter Diameter of Effort Wheel (dw), Number of Teeth on Worm Wheel (Tww) & Radius of Pulley (R) and hit the calculate button. Here is how the Velocity Ratio of Worm Geared Pulley Block calculation can be explained with given input values -> 0.068571 = (0.3*32)/1.4.

FAQ

What is Velocity Ratio of Worm Geared Pulley Block?
The Velocity ratio of worm geared pulley block formula is defined as the ratio of the product of diameter of the effort wheel and the number of teeth on the worm wheel to the radius of the pulley and is represented as i = (dw*Tww)/R or Velocity Ratio = (Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/Radius of Pulley. Diameter of effort wheel is a chord that runs through the center point of the circle, The Number of Teeth on Worm Wheel is the count of teeth on the wheel & The 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.
How to calculate Velocity Ratio of Worm Geared Pulley Block?
The Velocity ratio of worm geared pulley block formula is defined as the ratio of the product of diameter of the effort wheel and the number of teeth on the worm wheel to the radius of the pulley is calculated using Velocity Ratio = (Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/Radius of Pulley. To calculate Velocity Ratio of Worm Geared Pulley Block, you need Diameter of Effort Wheel (dw), Number of Teeth on Worm Wheel (Tww) & Radius of Pulley (R). With our tool, you need to enter the respective value for Diameter of Effort Wheel, Number of Teeth on Worm Wheel & Radius of Pulley 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 Velocity Ratio?
In this formula, Velocity Ratio uses Diameter of Effort Wheel, Number of Teeth on Worm Wheel & Radius of Pulley. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Velocity Ratio = 2*Number of Teeth of Larger Pulley/(Number of Teeth of Larger Pulley-Number of Teeth of Smaller Pulley)
  • Velocity Ratio = 2*Radii of Larger Pulley/(Radii of Larger Pulley-Radii of Smaller Pulley)
  • Velocity Ratio = (2*Diameter of Larger Pulley)/(Diameter of Larger Pulley-Diameter of Smaller Pulley)
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