Velocity Ratio of Worm Geared Pulley Block Calculator

✖Diameter of Effort Wheel is a chord that runs through the center point of the circle.ⓘ Diameter of Effort Wheel [d_w]			+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%
✖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%

✖Velocity Ratio is the distance through which any part of a machine moves to that which the driving part moves during the same time.ⓘ Velocity Ratio of Worm Geared Pulley Block [V_i]

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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
V_i = (d_w*T_w)/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) - 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

V_i = (d_w*T_w)/R --> (0.3*32)/1.4

Evaluating ... ...

V_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 00.035 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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< 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

Velocity Ratio of Worm Geared Pulley Block Formula

LaTeX Go

Velocity Ratio = (Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/Radius of Pulley
V_i = (d_w*T_w)/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, Velocity Ratio of Worm Geared Pulley Block refers to the ratio of the distance moved by the effort to the distance moved by the load. It provides a measure of the mechanical advantage offered by the worm gear mechanism. Velocity Ratio is denoted by V_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 (d_w), Number of Teeth on Worm Wheel (T_w) & 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 -> 6.857143 = (0.3*32)/1.4.

FAQ

What is Velocity Ratio of Worm Geared Pulley Block?

Velocity Ratio of Worm Geared Pulley Block refers to the ratio of the distance moved by the effort to the distance moved by the load. It provides a measure of the mechanical advantage offered by the worm gear mechanism and is represented as V_i = (d_w*T_w)/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 & 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?

Velocity Ratio of Worm Geared Pulley Block refers to the ratio of the distance moved by the effort to the distance moved by the load. It provides a measure of the mechanical advantage offered by the worm gear mechanism 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 (d_w), Number of Teeth on Worm Wheel (T_w) & 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*Radius of Larger Pulley/(Radius of Larger Pulley-Radius of Smaller Pulley)
Velocity Ratio = (2*Diameter of Larger Pulley)/(Diameter of Larger Pulley-Diameter of Smaller Pulley)

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