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

✖Number of Teeth of Larger Pulley is the total teeth present on the larger pulley.ⓘ Number of Teeth of Larger Pulley [T₁]			+10% -10%
✖The Number of Teeth of Smaller Pulley is the total teeth present on the smaller pulley.ⓘ Number of Teeth of Smaller Pulley [T₂]			+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 in Weston's Differential Pulley given Number of Teeth [V_i]

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

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Ratio = 2*Number of Teeth of Larger Pulley/(Number of Teeth of Larger Pulley-Number of Teeth of Smaller Pulley)
V_i = 2*T₁/(T₁-T₂)
This formula uses 3 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.
Number of Teeth of Larger Pulley - Number of Teeth of Larger Pulley is the total teeth present on the larger pulley.
Number of Teeth of Smaller Pulley - The Number of Teeth of Smaller Pulley is the total teeth present on the smaller pulley.

STEP 1: Convert Input(s) to Base Unit

Number of Teeth of Larger Pulley: 46 --> No Conversion Required
Number of Teeth of Smaller Pulley: 31 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_i = 2*T₁/(T₁-T₂) --> 2*46/(46-31)

Evaluating ... ...

V_i = 6.13333333333333

STEP 3: Convert Result to Output's Unit

6.13333333333333 --> No Conversion Required

FINAL ANSWER

6.13333333333333 ≈ 6.133333 <-- Velocity Ratio

(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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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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 in Weston's Differential Pulley given Number of Teeth Formula

LaTeX Go

Velocity Ratio = 2*Number of Teeth of Larger Pulley/(Number of Teeth of Larger Pulley-Number of Teeth of Smaller Pulley)
V_i = 2*T₁/(T₁-T₂)

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 in Weston's Differential Pulley given Number of Teeth?

Velocity Ratio in Weston's Differential Pulley given Number of Teeth calculator uses Velocity Ratio = 2*Number of Teeth of Larger Pulley/(Number of Teeth of Larger Pulley-Number of Teeth of Smaller Pulley) to calculate the Velocity Ratio, Velocity Ratio in Weston's Differential Pulley given Number of Teeth can also be expressed in terms of the number of teeth on the two gears (which correspond to the two pulleys). Velocity Ratio is denoted by V_i symbol.

How to calculate Velocity Ratio in Weston's Differential Pulley given Number of Teeth using this online calculator? To use this online calculator for Velocity Ratio in Weston's Differential Pulley given Number of Teeth, enter Number of Teeth of Larger Pulley (T₁) & Number of Teeth of Smaller Pulley (T₂) and hit the calculate button. Here is how the Velocity Ratio in Weston's Differential Pulley given Number of Teeth calculation can be explained with given input values -> 6.133333 = 2*46/(46-31).

FAQ

What is Velocity Ratio in Weston's Differential Pulley given Number of Teeth?

Velocity Ratio in Weston's Differential Pulley given Number of Teeth can also be expressed in terms of the number of teeth on the two gears (which correspond to the two pulleys) and is represented as V_i = 2*T₁/(T₁-T₂) or Velocity Ratio = 2*Number of Teeth of Larger Pulley/(Number of Teeth of Larger Pulley-Number of Teeth of Smaller Pulley). Number of Teeth of Larger Pulley is the total teeth present on the larger pulley & The Number of Teeth of Smaller Pulley is the total teeth present on the smaller pulley.

How to calculate Velocity Ratio in Weston's Differential Pulley given Number of Teeth?

Velocity Ratio in Weston's Differential Pulley given Number of Teeth can also be expressed in terms of the number of teeth on the two gears (which correspond to the two pulleys) is calculated using Velocity Ratio = 2*Number of Teeth of Larger Pulley/(Number of Teeth of Larger Pulley-Number of Teeth of Smaller Pulley). To calculate Velocity Ratio in Weston's Differential Pulley given Number of Teeth, you need Number of Teeth of Larger Pulley (T₁) & Number of Teeth of Smaller Pulley (T₂). With our tool, you need to enter the respective value for Number of Teeth of Larger Pulley & Number of Teeth of Smaller 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 Number of Teeth of Larger Pulley & Number of Teeth of Smaller Pulley. We can use 3 other way(s) to calculate the same, which is/are as follows -

Velocity Ratio = 2*Radius of Larger Pulley/(Radius of Larger Pulley-Radius of Smaller Pulley)
Velocity Ratio = (Diameter of Effort Wheel*Number of Teeth on Worm Wheel)/Radius of Pulley
Velocity Ratio = (2*Diameter of Larger Pulley)/(Diameter of Larger Pulley-Diameter of Smaller Pulley)

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