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Work Output on Driver Formula

GoWork Output on Driven Formula

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Work output is the result of work carried out by people using equipment over a certain unit of time. Check FAQs

w = R \cdot \cos (α 1 - Φ) \cdot π \cdot d 1 \cdot N 1

w - Work Output?R - Resultant Reaction at Point of Contact?α₁ - Spiral Angle of Gear Teeth for Gear 1?Φ - Angle of Friction?d₁ - Pitch Circle Diameter of Gear 1?N₁ - Speed of Gear 1?π - Archimedes' constant?

Work Output on Driver Example

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Here is how the Work Output on Driver equation looks like with Values.

Here is how the Work Output on Driver equation looks like with Units.

Here is how the Work Output on Driver equation looks like.

0.5807 = 27 \cdot \cos (45 - 24) \cdot 3.1416 \cdot 22 \cdot 20

0.5807J = 27N \cdot \cos (45° - 24°) \cdot 3.1416 \cdot 22mm \cdot 20rev/min

0.5807 = 27 \cdot \cos (45 - 24) \cdot 3.1416 \cdot 22 \cdot 20

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Work Output on Driver Solution

Follow our step by step solution on how to calculate Work Output on Driver?

FIRST Step Consider the formula

w = R \cdot \cos (α 1 - Φ) \cdot π \cdot d 1 \cdot N 1

Next Step Substitute values of Variables

∴

w = 27N \cdot \cos (45° - 24°) \cdot π \cdot 22mm \cdot 20rev/min

Next Step Substitute values of Constants

∴

w = 27N \cdot \cos (45° - 24°) \cdot 3.1416 \cdot 22mm \cdot 20rev/min

Next Step Convert Units

∴

w = 27N \cdot \cos (0.7854rad - 0.4189rad) \cdot 3.1416 \cdot 0.022m \cdot 0.3333Hz

Next Step Prepare to Evaluate

∴

w = 27 \cdot \cos (0.7854 - 0.4189) \cdot 3.1416 \cdot 0.022 \cdot 0.3333

Next Step Evaluate

∴

w = 0.580720023064944J

LAST Step Rounding Answer

∴

w = 0.5807J

Work Output on Driver Formula Elements

Variables

Constants

Functions

Work Output

Work output is the result of work carried out by people using equipment over a certain unit of time.

Symbol: w

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Work Output

Resultant Reaction at Point of Contact

Resultant reaction at point of contact is the force (magnitude and direction) obtained when two or more forces are combined.

Symbol: R

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Resultant Reaction at Point of Contact

Spiral Angle of Gear Teeth for Gear 1

The spiral angle of gear teeth for gear 1 is the angle between the tooth trace and an element of the pitch cone and corresponds to the helix angle in helical teeth.

Symbol: α₁

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Spiral Angle of Gear Teeth for Gear 1

Angle of Friction

The angle of friction is the angle of a plane to the horizontal when a body placed on the plane will just start to slide.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Friction

Pitch Circle Diameter of Gear 1

Pitch circle diameter of gear 1 is the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes.

Symbol: d₁

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Pitch Circle Diameter of Gear 1

Speed of Gear 1

Speed of gear 1 is speed of revolution.

Symbol: N₁

Measurement: FrequencyUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Speed of Gear 1

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Work Output

Go Work Output on Driven

w = R \cdot \cos (α 2 + Φ) \cdot π \cdot d 2 \cdot N 2

Other formulas in Toothed Gear Terminologies category

Go Torque Exerted on Gear Shaft

τ = P t \cdot \frac{d pitch circle}{2}

Go Addendum of Pinion

A p = \frac{Z p}{2} \cdot (\sqrt{1 + \frac{T}{Z p} \cdot (\frac{T}{Z p} + 2) \cdot {(\sin (Φ gear))}^{2}} - 1)

Go Addendum of Rack

A R = \frac{Z p \cdot {(\sin (Φ gear))}^{2}}{2}

Go Addendum of Wheel

A w = \frac{T}{2} \cdot (\sqrt{1 + \frac{Z p}{T} \cdot (\frac{Z p}{T} + 2) \cdot {(\sin (Φ gear))}^{2}} - 1)

How to Evaluate Work Output on Driver?

Work Output on Driver evaluator uses Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*pi*Pitch Circle Diameter of Gear 1*Speed of Gear 1 to evaluate the Work Output, Work Output on Driver formula is defined as the measure of the output power of a driver in a toothed gear system, which is a critical component in understanding the mechanical advantage and efficiency of the system, and is essential in designing and optimizing gear trains for various industrial applications. Work Output is denoted by w symbol.

How to evaluate Work Output on Driver using this online evaluator? To use this online evaluator for Work Output on Driver, enter Resultant Reaction at Point of Contact (R), Spiral Angle of Gear Teeth for Gear 1 (α₁), Angle of Friction (Φ), Pitch Circle Diameter of Gear 1 (d₁) & Speed of Gear 1 (N₁) and hit the calculate button.

FAQs on Work Output on Driver

What is the formula to find Work Output on Driver?

The formula of Work Output on Driver is expressed as Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*pi*Pitch Circle Diameter of Gear 1*Speed of Gear 1. Here is an example- 0.58072 = 27*cos(0.785398163397301-0.41887902047856)*pi*0.022*0.333333333333333.

How to calculate Work Output on Driver?

With Resultant Reaction at Point of Contact (R), Spiral Angle of Gear Teeth for Gear 1 (α₁), Angle of Friction (Φ), Pitch Circle Diameter of Gear 1 (d₁) & Speed of Gear 1 (N₁) we can find Work Output on Driver using the formula - Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*pi*Pitch Circle Diameter of Gear 1*Speed of Gear 1. This formula also uses Archimedes' constant and Cosine (cos) function(s).

What are the other ways to Calculate Work Output?

Here are the different ways to Calculate Work Output-

Work Output=Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*pi*Pitch Circle Diameter of Gear 2*Speed of Gear 2

Can the Work Output on Driver be negative?

Yes, the Work Output on Driver, measured in Energy can be negative.

Which unit is used to measure Work Output on Driver?

Work Output on Driver is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Work Output on Driver can be measured.

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Work Output on Driver Formula

​GoWork Output on Driven Formula

Work Output on Driver Example

Work Output on Driver Solution

Work Output on Driver Formula Elements

Other Formulas to find Work Output

Other formulas in Toothed Gear Terminologies category

How to Evaluate Work Output on Driver?

FAQs on Work Output on Driver

Variable Name

GoWork Output on Driven Formula