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)
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
i = 2*T1/(T1-T2) --> 2*46/(46-31)
Evaluating ... ...
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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Institute of Aeronautical Engineering (IARE), Hyderabad
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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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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 in Weston's Differential Pulley given Number of Teeth Formula

Velocity Ratio = 2*Number of Teeth of Larger Pulley/(Number of Teeth of Larger Pulley-Number of Teeth of Smaller Pulley)
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, The Velocity Ratio in Weston's differential pulley given number of teeth formula is defined as the ratio of two times of number of teeth on larger pulley to the difference of number of teeth on larger pulley and smaller pulley. Velocity Ratio is denoted by 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 -> 4 = 2*46/(46-31).

FAQ

What is Velocity Ratio in Weston's Differential Pulley given Number of Teeth?
The Velocity Ratio in Weston's differential pulley given number of teeth formula is defined as the ratio of two times of number of teeth on larger pulley to the difference of number of teeth on larger pulley and smaller pulley and is represented as 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?
The Velocity Ratio in Weston's differential pulley given number of teeth formula is defined as the ratio of two times of number of teeth on larger pulley to the difference of number of teeth on larger pulley and smaller pulley 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*Radii of Larger Pulley/(Radii of Larger Pulley-Radii 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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