Work Output on Driven 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 2 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 2 [α₂]			+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 2 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 2 [d₂]			+10% -10%
✖Speed of gear 2 is speed of revolution.ⓘ Speed of Gear 2 [N₂]			+10% -10%

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

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Formula

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Work Output on Driven

Formula

`"w" = "R"*cos("α"_{"2"}+"Φ")*pi*"d"_{"2"}*"N"_{"2"}`

Example

`"0.232483J"="27N"*cos("30.05°"+"24°")*pi*"10.004mm"*"28rev/min"`

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Work Output on Driven Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
w = R*cos(α₂+Φ)*pi*d₂*N₂
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 2 - (Measured in Radian) - The spiral angle of gear teeth for gear 2 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 2 - (Measured in Meter) - Pitch circle diameter of gear 2 is the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes.
Speed of Gear 2 - (Measured in Hertz) - Speed of gear 2 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 2: 30.05 Degree --> 0.524471440224197 Radian (Check conversion here)
Angle of Friction: 24 Degree --> 0.41887902047856 Radian (Check conversion here)
Pitch Circle Diameter of Gear 2: 10.004 Millimeter --> 0.010004 Meter (Check conversion here)
Speed of Gear 2: 28 Revolution per Minute --> 0.466666666666667 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = R*cos(α₂+Φ)*pi*d₂*N₂ --> 27*cos(0.524471440224197+0.41887902047856)*pi*0.010004*0.466666666666667

Evaluating ... ...

w = 0.232482714267682

STEP 3: Convert Result to Output's Unit

0.232482714267682 Joule --> No Conversion Required

FINAL ANSWER

0.232482714267682 ≈ 0.232483 Joule <-- Work Output

(Calculation completed in 00.004 seconds)

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

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< 22 Toothed Gear Terminologies Calculators

Efficiency of Spiral Gears using Pitch Circle Diameter

Go Efficiency = (cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*Pitch Circle Diameter of Gear 2*Speed of Gear 2)/(cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*Pitch Circle Diameter of Gear 1*Speed of Gear 1)

Efficiency of Spiral Gears

Go Efficiency = (cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*cos(Spiral Angle of Gear Teeth for Gear 1))/(cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*cos(Spiral Angle of Gear Teeth for Gear 2))

Addendum of Pinion

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)

Addendum of Wheel

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

Work Output on Driven

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

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

Maximum Efficiency of Spiral Gears

Go Efficiency = (cos(Shaft Angle+Angle of Friction)+1)/(cos(Shaft Angle-Angle of Friction)+1)

Resisting Force Acting Tangentially on Driven

Go Resisting Force acting Tangentially on Driven = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)

Force Applied Tangentially on Driver

Go Force Applied Tangentially on Driver = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)

Axial Thrust on Driven

Go Axial Thrust on Driven = Resisting Force acting Tangentially on Driven*tan(Spiral Angle of Gear Teeth for Gear 2)

Axial Thrust on Driver

Go Axial Thrust on Driver = Force Applied Tangentially on Driver*tan(Spiral Angle of Gear Teeth for Gear 1)

Radius of Base Circle of Pinion

Go Radius of Base Circle of Pinion = Radius of Pitch Circle of Pinion*cos(Pressure Angle of Gear)

Radius of Base Circle of Wheel

Go Radius of Base Circle of Wheel = Radius of Pitch Circle of Wheel*cos(Pressure Angle of Gear)

Addendum of Rack

Go Addendum of Rack = (Number of Teeth on Pinion*(sin(Pressure Angle of Gear))^2)/2

Tangential Force on Gear Shaft

Go Tangential Force = Maximum Tooth Pressure*cos(Pressure Angle of Gear)

Normal Force on Gear Shaft

Go Normal Force = Maximum Tooth Pressure*sin(Pressure Angle of Gear)

Shaft Angle

Go Shaft Angle = Spiral Angle of Gear Teeth for Gear 1+Spiral Angle of Gear Teeth for Gear 2

Gear Ratio

Go Gear Ratio = Radius of Pitch Circle of Wheel/Radius of Pitch Circle of Pinion

Torque Exerted on Gear Shaft

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

Gear Ratio given Number of Teeth on Wheel and Pinion

Go Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion

Module

Go Module = Diameter of Pitch Circle/Number of Teeth on Wheel

Contact Ratio

Go Contact Ratio = Path of Contact/Circular Pitch

Work Output on Driven Formula

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
w = R*cos(α₂+Φ)*pi*d₂*N₂

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 Driven?

Work Output on Driven calculator uses 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 to calculate the Work Output, Work output on driven is the result of work carried out by people using equipment over a certain unit of time. Work Output is denoted by w symbol.

How to calculate Work Output on Driven using this online calculator? To use this online calculator for Work Output on Driven, enter Resultant Reaction at Point of Contact (R), Spiral Angle of Gear Teeth for Gear 2 (α₂), Angle of Friction (Φ), Pitch Circle Diameter of Gear 2 (d₂) & Speed of Gear 2 (N₂) and hit the calculate button. Here is how the Work Output on Driven calculation can be explained with given input values -> 0.232483 = 27*cos(0.524471440224197+0.41887902047856)*pi*0.010004*0.466666666666667.

FAQ

What is Work Output on Driven?

Work output on driven is the result of work carried out by people using equipment over a certain unit of time and is represented as w = R*cos(α₂+Φ)*pi*d₂*N₂ or 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. 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 2 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 2 is the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes & Speed of gear 2 is speed of revolution.

How to calculate Work Output on Driven?

Work output on driven is the result of work carried out by people using equipment over a certain unit of time is calculated using 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. To calculate Work Output on Driven, you need Resultant Reaction at Point of Contact (R), Spiral Angle of Gear Teeth for Gear 2 (α₂), Angle of Friction (Φ), Pitch Circle Diameter of Gear 2 (d₂) & Speed of Gear 2 (N₂). With our tool, you need to enter the respective value for Resultant Reaction at Point of Contact, Spiral Angle of Gear Teeth for Gear 2, Angle of Friction, Pitch Circle Diameter of Gear 2 & Speed of Gear 2 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 2, Angle of Friction, Pitch Circle Diameter of Gear 2 & Speed of Gear 2. 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 1-Angle of Friction)*pi*Pitch Circle Diameter of Gear 1*Speed of Gear 1

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