Work Output on Driver Calculator

✖Resultant reaction at point of contact is the force (magnitude and direction) obtained when two or more forces are combined.ⓘ Resultant Reaction at Point of Contact [R]			+10% -10%
✖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.ⓘ Spiral Angle of Gear Teeth for Gear 1 [α₁]			+10% -10%
✖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.ⓘ Angle of Friction [Φ]			+10% -10%
✖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.ⓘ Pitch Circle Diameter of Gear 1 [d₁]			+10% -10%
✖Speed of gear 1 is speed of revolution.ⓘ Speed of Gear 1 [N₁]			+10% -10%

✖Work output is the result of work carried out by people using equipment over a certain unit of time.ⓘ Work Output on Driver [w]

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Work Output on Driver Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
w = R*cos(α₁-Φ)*pi*d₁*N₁
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Work Output - (Measured in Joule) - Work output is the result of work carried out by people using equipment over a certain unit of time.
Resultant Reaction at Point of Contact - (Measured in Newton) - Resultant reaction at point of contact is the force (magnitude and direction) obtained when two or more forces are combined.
Spiral Angle of Gear Teeth for Gear 1 - (Measured in Radian) - 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.
Angle of Friction - (Measured in Radian) - 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.
Pitch Circle Diameter of Gear 1 - (Measured in Meter) - 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.
Speed of Gear 1 - (Measured in Hertz) - Speed of gear 1 is speed of revolution.

STEP 1: Convert Input(s) to Base Unit

Resultant Reaction at Point of Contact: 27 Newton --> 27 Newton No Conversion Required
Spiral Angle of Gear Teeth for Gear 1: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Angle of Friction: 24 Degree --> 0.41887902047856 Radian (Check conversion here)
Pitch Circle Diameter of Gear 1: 22 Millimeter --> 0.022 Meter (Check conversion here)
Speed of Gear 1: 20 Revolution per Minute --> 0.333333333333333 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = R*cos(α₁-Φ)*pi*d₁*N₁ --> 27*cos(0.785398163397301-0.41887902047856)*pi*0.022*0.333333333333333

Evaluating ... ...

w = 0.580720023064944

STEP 3: Convert Result to Output's Unit

0.580720023064944 Joule --> No Conversion Required

FINAL ANSWER

0.580720023064944 ≈ 0.58072 Joule <-- Work Output

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Toothed Gearing » Mechanical » Toothed Gear Terminologies » Work Output on Driver

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Toothed Gear Terminologies Calculators

Addendum of Pinion

LaTeX Go Addendum of Pinion = Number of Teeth on Pinion/2*(sqrt(1+Number of Teeth on Wheel/Number of Teeth on Pinion*(Number of Teeth on Wheel/Number of Teeth on Pinion+2)*(sin(Pressure Angle of Gear))^2)-1)

Work Output on Driven

LaTeX Go 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

Work Output on Driver

LaTeX Go 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

Torque Exerted on Gear Shaft

LaTeX Go Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2

Work Output on Driver Formula

LaTeX Go

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
w = R*cos(α₁-Φ)*pi*d₁*N₁

What is work output and work input?

Work input is work done on a machine equal to the effort force times the distance through which the force is applied. Work output is work that is done by a machine equals resistance force times the distance through which the force applied.

How to Calculate Work Output on Driver?

Work Output on Driver calculator 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 calculate 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 calculate Work Output on Driver using this online calculator? To use this online calculator 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. Here is how the Work Output on Driver calculation can be explained with given input values -> 0.58072 = 27*cos(0.785398163397301-0.41887902047856)*pi*0.022*0.333333333333333.

FAQ

What is Work Output on Driver?

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 and is represented as w = R*cos(α₁-Φ)*pi*d₁*N₁ or 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. Resultant reaction at point of contact is the force (magnitude and direction) obtained when two or more forces are combined, 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, 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, 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 & Speed of gear 1 is speed of revolution.

How to calculate Work Output on Driver?

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 is calculated using 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 calculate Work Output on Driver, you need 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). With our tool, you need to enter the respective value for Resultant Reaction at Point of Contact, Spiral Angle of Gear Teeth for Gear 1, Angle of Friction, Pitch Circle Diameter of Gear 1 & Speed of Gear 1 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 Work Output?

In this formula, Work Output uses Resultant Reaction at Point of Contact, Spiral Angle of Gear Teeth for Gear 1, Angle of Friction, Pitch Circle Diameter of Gear 1 & Speed of Gear 1. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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