Velocity Ratio of Belt Drive Calculator

✖Speed of follower is the number of turns of the follower divided by time.ⓘ Speed of Follower [N_f]			+10% -10%
✖Speed of driver is the number of turns of the driver divided by time.ⓘ Speed of Driver [N_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 Belt Drive [i]

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Formula

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Velocity Ratio of Belt Drive

Formula

`"i" = "N"_{"f"}/"N"_{"d"}`

Example

`"0.8125"="26rev/min"/"32rev/min"`

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Velocity Ratio of Belt Drive Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Ratio = Speed of Follower/Speed of Driver
i = N_f/N_d
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.
Speed of Follower - (Measured in Hertz) - Speed of follower is the number of turns of the follower divided by time.
Speed of Driver - (Measured in Hertz) - Speed of driver is the number of turns of the driver divided by time.

STEP 1: Convert Input(s) to Base Unit

Speed of Follower: 26 Revolution per Minute --> 0.433333333333333 Hertz (Check conversion here)
Speed of Driver: 32 Revolution per Minute --> 0.533333333333333 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = N_f/N_d --> 0.433333333333333/0.533333333333333

Evaluating ... ...

i = 0.8125

STEP 3: Convert Result to Output's Unit

0.8125 --> No Conversion Required

FINAL ANSWER

0.8125 <-- Velocity Ratio

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 10+ Velocity Ratio Calculators

Velocity Ratio of Belt given Creep of Belt

Go Velocity Ratio = (Diameter of Driver*(Young's Modulus of Belt+sqrt(Stress in Slack Side of Belt)))/(Diameter of Follower*(Young's Modulus of Belt+sqrt(Stress in Tight Side of Belt)))

Velocity Ratio of Belt given Total Percentage Slip

Go Velocity Ratio = (Diameter of Driver+Belt Thickness)*(1-0.01*Total Percentage of Slip)/(Diameter of Follower+Belt Thickness)

Velocity Ratio of Simple Belt Drive when Thickness Considered

Go Velocity Ratio = (Diameter of Driver+Belt Thickness)/(Diameter of Follower+Belt Thickness)

Peripheral Velocity of Follower Pulley

Go Peripheral Velocity of Pulley = pi*Diameter of Follower*Speed of Follower

Peripheral Velocity of Driving Pulley

Go Peripheral Velocity of Pulley = pi*Diameter of Driver*Speed of Driver

Velocity Ratio of Compound Belt Drive given Product of Diameter of Driven

Go Velocity Ratio = Product of Diameters of Drivers/Product of Diameters of Drivens

Velocity Ratio of Compound Belt Drive

Go Velocity Ratio = Speed of Last Driven Pulley/Speed of First Driver

Velocity Ratio

Go Velocity Ratio = No. of Teeth on Driven/No. of Teeth on Driver

Velocity Ratio of Simple Belt Drive when Thickness Not Considered

Go Velocity Ratio = Diameter of Driver/Diameter of Follower

Velocity Ratio of Belt Drive

Go Velocity Ratio = Speed of Follower/Speed of Driver

Velocity Ratio of Belt Drive Formula

Velocity Ratio = Speed of Follower/Speed of Driver
i = N_f/N_d

What is velocity ratio of a pulley?

The theoretical mechanical advantage of a system is the ratio of the force that performs the useful work to the force applied, assuming there is no friction in the system. Velocity ratio is defined as the ratio of the distance moved by effort and load, in the same time interval.

What is a belt drive used for?

Belt drive, in machinery, a pair of pulleys attached to usually parallel shafts and connected by an encircling flexible belt (band) that can serve to transmit and modify rotary motion from one shaft to the other.

How to Calculate Velocity Ratio of Belt Drive?

Velocity Ratio of Belt Drive calculator uses Velocity Ratio = Speed of Follower/Speed of Driver to calculate the Velocity Ratio, Velocity ratio of belt drive is defined as the ratio of the distance moved by effort and load, in the same time interval. Velocity Ratio is denoted by i symbol.

How to calculate Velocity Ratio of Belt Drive using this online calculator? To use this online calculator for Velocity Ratio of Belt Drive, enter Speed of Follower (N_f) & Speed of Driver (N_d) and hit the calculate button. Here is how the Velocity Ratio of Belt Drive calculation can be explained with given input values -> 0.8125 = 0.433333333333333/0.533333333333333.

FAQ

What is Velocity Ratio of Belt Drive?

Velocity ratio of belt drive is defined as the ratio of the distance moved by effort and load, in the same time interval and is represented as i = N_f/N_d or Velocity Ratio = Speed of Follower/Speed of Driver. Speed of follower is the number of turns of the follower divided by time & Speed of driver is the number of turns of the driver divided by time.

How to calculate Velocity Ratio of Belt Drive?

Velocity ratio of belt drive is defined as the ratio of the distance moved by effort and load, in the same time interval is calculated using Velocity Ratio = Speed of Follower/Speed of Driver. To calculate Velocity Ratio of Belt Drive, you need Speed of Follower (N_f) & Speed of Driver (N_d). With our tool, you need to enter the respective value for Speed of Follower & Speed of Driver 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 Speed of Follower & Speed of Driver. We can use 7 other way(s) to calculate the same, which is/are as follows -

Velocity Ratio = No. of Teeth on Driven/No. of Teeth on Driver
Velocity Ratio = Speed of Last Driven Pulley/Speed of First Driver
Velocity Ratio = Product of Diameters of Drivers/Product of Diameters of Drivens
Velocity Ratio = (Diameter of Driver+Belt Thickness)/(Diameter of Follower+Belt Thickness)
Velocity Ratio = Diameter of Driver/Diameter of Follower
Velocity Ratio = (Diameter of Driver*(Young's Modulus of Belt+sqrt(Stress in Slack Side of Belt)))/(Diameter of Follower*(Young's Modulus of Belt+sqrt(Stress in Tight Side of Belt)))
Velocity Ratio = (Diameter of Driver+Belt Thickness)*(1-0.01*Total Percentage of Slip)/(Diameter of Follower+Belt Thickness)

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