Velocity Ratio of Worm and Worm Wheel Calculator

✖Minimum Diameter of Effort Wheel is a chord that runs through the center point of the circle.ⓘ Minimum Diameter of Effort Wheel [D_m]			+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%
✖The Radius of Load Drum is a line segment extending from the center of a drum to the circumference of the drum.ⓘ Radius of Load Drum [R_d]			+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 and Worm Wheel [V_i]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Lifting Machines Formulas PDF PDF Image

Velocity Ratio of Worm and Worm Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Ratio = (Minimum Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Radius of Load Drum)
V_i = (D_m*T_w)/(2*R_d)
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.
Minimum Diameter of Effort Wheel - (Measured in Meter) - Minimum 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 Load Drum - (Measured in Meter) - The Radius of Load Drum is a line segment extending from the center of a drum to the circumference of the drum.

STEP 1: Convert Input(s) to Base Unit

Minimum Diameter of Effort Wheel: 0.15 Meter --> 0.15 Meter No Conversion Required
Number of Teeth on Worm Wheel: 32 --> No Conversion Required
Radius of Load Drum: 0.35 Meter --> 0.35 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_i = (D_m*T_w)/(2*R_d) --> (0.15*32)/(2*0.35)

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 00.004 seconds)

You are here -

Home » Physics » Mechanics » Engineering Mechanics » Lifting Machines » Mechanical » Worm Wheel » Velocity Ratio of Worm and Worm Wheel

Credits

Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has verified this Calculator and 200+ more calculators!

< Worm Wheel Calculators

Velocity Ratio of Worm and Worm Wheel, if Worm has Multiple Threads

LaTeX Go Velocity Ratio = (Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Number of Threads*Radius of Load Drum)

Velocity Ratio of Worm and Worm Wheel

LaTeX Go Velocity Ratio = (Minimum Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Radius of Load Drum)

Velocity Ratio of Worm and Worm Wheel, if Worm is Double Threaded

LaTeX Go Velocity Ratio = (Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(4*Radius of Load Drum)

Efficiency of Worm and Worm Wheel

LaTeX Go Efficiency = Mechanical Advantage/Velocity Ratio

Velocity Ratio of Worm and Worm Wheel Formula

LaTeX Go

Velocity Ratio = (Minimum Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Radius of Load Drum)
V_i = (D_m*T_w)/(2*R_d)

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 and Worm Wheel?

Velocity Ratio of Worm and Worm Wheel calculator uses Velocity Ratio = (Minimum Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Radius of Load Drum) to calculate the Velocity Ratio, Velocity Ratio of Worm and Worm Wheel gear system indicates the mechanical advantage provided by the system. It is the ratio of the distance moved by the effort (input) to the distance moved by the load (output). Velocity Ratio is denoted by V_i symbol.

How to calculate Velocity Ratio of Worm and Worm Wheel using this online calculator? To use this online calculator for Velocity Ratio of Worm and Worm Wheel, enter Minimum Diameter of Effort Wheel (D_m), Number of Teeth on Worm Wheel (T_w) & Radius of Load Drum (R_d) and hit the calculate button. Here is how the Velocity Ratio of Worm and Worm Wheel calculation can be explained with given input values -> 6.857143 = (0.15*32)/(2*0.35).

FAQ

What is Velocity Ratio of Worm and Worm Wheel?

Velocity Ratio of Worm and Worm Wheel gear system indicates the mechanical advantage provided by the system. It is the ratio of the distance moved by the effort (input) to the distance moved by the load (output) and is represented as V_i = (D_m*T_w)/(2*R_d) or Velocity Ratio = (Minimum Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Radius of Load Drum). Minimum 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 Load Drum is a line segment extending from the center of a drum to the circumference of the drum.

How to calculate Velocity Ratio of Worm and Worm Wheel?

Velocity Ratio of Worm and Worm Wheel gear system indicates the mechanical advantage provided by the system. It is the ratio of the distance moved by the effort (input) to the distance moved by the load (output) is calculated using Velocity Ratio = (Minimum Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Radius of Load Drum). To calculate Velocity Ratio of Worm and Worm Wheel, you need Minimum Diameter of Effort Wheel (D_m), Number of Teeth on Worm Wheel (T_w) & Radius of Load Drum (R_d). With our tool, you need to enter the respective value for Minimum Diameter of Effort Wheel, Number of Teeth on Worm Wheel & Radius of Load Drum 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 Minimum Diameter of Effort Wheel, Number of Teeth on Worm Wheel & Radius of Load Drum. We can use 2 other way(s) to calculate the same, which is/are as follows -

Velocity Ratio = (Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(4*Radius of Load Drum)
Velocity Ratio = (Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Number of Threads*Radius of Load Drum)

Home

FREE PDFs

🔍 Search