Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys Calculator

✖Radius of Larger Pulley is a straight line from the center to the circumference of pulley.ⓘ Radius of Larger Pulley [r₁]			+10% -10%
✖Radius of Smaller Pulley is a straight line from the center to the circumference of pulley.ⓘ Radius of Smaller Pulley [r₂]			+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 Radius of Pulleys [V_i]

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Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Ratio = 2*Radius of Larger Pulley/(Radius of Larger Pulley-Radius of Smaller Pulley)
V_i = 2*r₁/(r₁-r₂)
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.
Radius of Larger Pulley - (Measured in Meter) - Radius of Larger Pulley is a straight line from the center to the circumference of pulley.
Radius of Smaller Pulley - (Measured in Meter) - Radius of Smaller Pulley is a straight line from the center to the circumference of pulley.

STEP 1: Convert Input(s) to Base Unit

Radius of Larger Pulley: 9 Meter --> 9 Meter No Conversion Required
Radius of Smaller Pulley: 6.25 Meter --> 6.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_i = 2*r₁/(r₁-r₂) --> 2*9/(9-6.25)

Evaluating ... ...

V_i = 6.54545454545455

STEP 3: Convert Result to Output's Unit

6.54545454545455 --> No Conversion Required

FINAL ANSWER

6.54545454545455 ≈ 6.545455 <-- Velocity Ratio

(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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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 Radius of Pulleys Formula

LaTeX Go

Velocity Ratio = 2*Radius of Larger Pulley/(Radius of Larger Pulley-Radius of Smaller Pulley)
V_i = 2*r₁/(r₁-r₂)

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 Radius of Pulleys?

Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys calculator uses Velocity Ratio = 2*Radius of Larger Pulley/(Radius of Larger Pulley-Radius of Smaller Pulley) to calculate the Velocity Ratio, Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys Block can be determined using the radii of the two pulleys involved. Velocity Ratio is denoted by V_i symbol.

How to calculate Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys using this online calculator? To use this online calculator for Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys, enter Radius of Larger Pulley (r₁) & Radius of Smaller Pulley (r₂) and hit the calculate button. Here is how the Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys calculation can be explained with given input values -> 6.545455 = 2*9/(9-6.25).

FAQ

What is Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys?

Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys Block can be determined using the radii of the two pulleys involved and is represented as V_i = 2*r₁/(r₁-r₂) or Velocity Ratio = 2*Radius of Larger Pulley/(Radius of Larger Pulley-Radius of Smaller Pulley). Radius of Larger Pulley is a straight line from the center to the circumference of pulley & Radius of Smaller Pulley is a straight line from the center to the circumference of pulley.

How to calculate Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys?

Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys Block can be determined using the radii of the two pulleys involved is calculated using Velocity Ratio = 2*Radius of Larger Pulley/(Radius of Larger Pulley-Radius of Smaller Pulley). To calculate Velocity Ratio in Weston's Differential Pulley given Radius of Pulleys, you need Radius of Larger Pulley (r₁) & Radius of Smaller Pulley (r₂). With our tool, you need to enter the respective value for Radius of Larger Pulley & Radius 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 Radius of Larger Pulley & Radius of Smaller 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 = (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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