FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Velocity of belt given tension of belt in tight side Formula

Fx Copy

LaTeX Copy

Belt Velocity is defined as the velocity of the belt used in a belt drive. Check FAQs

v b = \sqrt{\frac{((e^{μ \cdot α}) \cdot P 2) - P 1}{m \cdot ((e^{μ \cdot α}) - 1)}}

v_b - Belt Velocity?μ - Coefficient of Friction for Belt Drive?α - Wrap Angle on Pulley?P₂ - Belt Tension on Loose Side?P₁ - Belt Tension on Tight Side?m - Mass of Meter Length of Belt?

Velocity of belt given tension of belt in tight side Example

With values

With units

Only example

Here is how the Velocity of belt given tension of belt in tight side equation looks like with Values.

Here is how the Velocity of belt given tension of belt in tight side equation looks like with Units.

Here is how the Velocity of belt given tension of belt in tight side equation looks like.

25.8026 = \sqrt{\frac{((e^{0.35 \cdot 160.2}) \cdot 550) - 800}{0.6 \cdot ((e^{0.35 \cdot 160.2}) - 1)}}

25.8026m/s = \sqrt{\frac{((e^{0.35 \cdot 160.2°}) \cdot 550N) - 800N}{0.6kg/m \cdot ((e^{0.35 \cdot 160.2°}) - 1)}}

25.8026 = \sqrt{\frac{((e^{0.35 \cdot 160.2}) \cdot 550) - 800}{0.6 \cdot ((e^{0.35 \cdot 160.2}) - 1)}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Machine Design » fx Velocity of belt given tension of belt in tight side

Velocity of belt given tension of belt in tight side Solution

Follow our step by step solution on how to calculate Velocity of belt given tension of belt in tight side?

FIRST Step Consider the formula

v b = \sqrt{\frac{((e^{μ \cdot α}) \cdot P 2) - P 1}{m \cdot ((e^{μ \cdot α}) - 1)}}

Next Step Substitute values of Variables

∴

v b = \sqrt{\frac{((e^{0.35 \cdot 160.2°}) \cdot 550N) - 800N}{0.6kg/m \cdot ((e^{0.35 \cdot 160.2°}) - 1)}}

Next Step Convert Units

∴

v b = \sqrt{\frac{((e^{0.35 \cdot 2.796rad}) \cdot 550N) - 800N}{0.6kg/m \cdot ((e^{0.35 \cdot 2.796rad}) - 1)}}

Next Step Prepare to Evaluate

∴

v b = \sqrt{\frac{((e^{0.35 \cdot 2.796}) \cdot 550) - 800}{0.6 \cdot ((e^{0.35 \cdot 2.796}) - 1)}}

Next Step Evaluate

∴

v b = 25.8026206130076m/s

LAST Step Rounding Answer

∴

v b = 25.8026m/s

Velocity of belt given tension of belt in tight side Formula Elements

Variables

Functions

Belt Velocity

Belt Velocity is defined as the velocity of the belt used in a belt drive.

Symbol: v_b

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Belt Velocity

Coefficient of Friction for Belt Drive

Coefficient of Friction for Belt Drive is the ratio defining the force that resists the motion of the belt over the pulley.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction for Belt Drive

Wrap Angle on Pulley

Wrap Angle on Pulley is the angle between the run-up and run-off of the belt on the pulley.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Wrap Angle on Pulley

Belt Tension on Loose Side

Belt Tension on Loose Side is defined as the belt's tension on the belt's loose side.

Symbol: P₂

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Belt Tension on Loose Side

Belt Tension on Tight Side

Belt Tension on Tight Side is defined as the belt's tension on the belt's tight side.

Symbol: P₁

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Belt Tension on Tight Side

Mass of Meter Length of Belt

Mass of Meter Length of Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.

Symbol: m

Measurement: Linear Mass DensityUnit: kg/m

Note: Value should be greater than 0.

Formulas to find Mass of Meter Length of Belt

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Introduction of Belt Drives category

Go Wrap Angle for Small Pulley

α s = 3.14 - (2 \cdot (a \sin (\frac{D - d}{2 \cdot C})))

Go Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley

C = \frac{D - d}{2 \cdot \sin (\frac{3.14 - α s}{2})}

Go Diameter of Small Pulley given Wrap Angle of Small Pulley

d = D - (2 \cdot C \cdot \sin (\frac{3.14 - α s}{2}))

Go Diameter of Big Pulley given Wrap Angle of Small Pulley

D = d + (2 \cdot C \cdot \sin (\frac{3.14 - α s}{2}))

How to Evaluate Velocity of belt given tension of belt in tight side?

Velocity of belt given tension of belt in tight side evaluator uses Belt Velocity = sqrt((((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))*Belt Tension on Loose Side)-Belt Tension on Tight Side)/(Mass of Meter Length of Belt*((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))-1))) to evaluate the Belt Velocity, Velocity of belt given tension of belt in tight side is a measure of the rotational speed of the belt at which the rotational force is being transferred from one pulley to another. Belt Velocity is denoted by v_b symbol.

How to evaluate Velocity of belt given tension of belt in tight side using this online evaluator? To use this online evaluator for Velocity of belt given tension of belt in tight side, enter Coefficient of Friction for Belt Drive (μ), Wrap Angle on Pulley (α), Belt Tension on Loose Side (P₂), Belt Tension on Tight Side (P₁) & Mass of Meter Length of Belt (m) and hit the calculate button.

FAQs on Velocity of belt given tension of belt in tight side

What is the formula to find Velocity of belt given tension of belt in tight side?

The formula of Velocity of belt given tension of belt in tight side is expressed as Belt Velocity = sqrt((((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))*Belt Tension on Loose Side)-Belt Tension on Tight Side)/(Mass of Meter Length of Belt*((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))-1))). Here is an example- 25.80262 = sqrt((((e^(0.35*2.79601746169439))*550)-800)/(0.6*((e^(0.35*2.79601746169439))-1))).

How to calculate Velocity of belt given tension of belt in tight side?

With Coefficient of Friction for Belt Drive (μ), Wrap Angle on Pulley (α), Belt Tension on Loose Side (P₂), Belt Tension on Tight Side (P₁) & Mass of Meter Length of Belt (m) we can find Velocity of belt given tension of belt in tight side using the formula - Belt Velocity = sqrt((((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))*Belt Tension on Loose Side)-Belt Tension on Tight Side)/(Mass of Meter Length of Belt*((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))-1))). This formula also uses Square Root (sqrt) function(s).

Can the Velocity of belt given tension of belt in tight side be negative?

No, the Velocity of belt given tension of belt in tight side, measured in Speed cannot be negative.

Which unit is used to measure Velocity of belt given tension of belt in tight side?

Velocity of belt given tension of belt in tight side is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of belt given tension of belt in tight side can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Velocity of belt given tension of belt in tight side Formula

Velocity of belt given tension of belt in tight side Example

Velocity of belt given tension of belt in tight side Solution

Velocity of belt given tension of belt in tight side Formula Elements

Other formulas in Introduction of Belt Drives category

How to Evaluate Velocity of belt given tension of belt in tight side?

FAQs on Velocity of belt given tension of belt in tight side

Variable Name