Force Applied Tangentially 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%

✖Force applied tangentially on driver is any interaction that, when unopposed, will change the motion of an object.ⓘ Force Applied Tangentially on Driver [F₁]

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Force Applied Tangentially on Driver Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force Applied Tangentially on Driver = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)
F₁ = R*cos(α₁-Φ)
This formula uses 1 Functions, 4 Variables

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

Force Applied Tangentially on Driver - (Measured in Newton) - Force applied tangentially on driver is any interaction that, when unopposed, will change the motion of an object.
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.

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F₁ = R*cos(α₁-Φ) --> 27*cos(0.785398163397301-0.41887902047856)

Evaluating ... ...

F₁ = 25.2066715154251

STEP 3: Convert Result to Output's Unit

25.2066715154251 Newton --> No Conversion Required

FINAL ANSWER

25.2066715154251 ≈ 25.20667 Newton <-- Force Applied Tangentially on Driver

(Calculation completed in 00.020 seconds)

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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

Force Applied Tangentially on Driver Formula

LaTeX Go

Force Applied Tangentially on Driver = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)
F₁ = R*cos(α₁-Φ)

What is a driver and driven gear?

The "driving" or drive gear is the source of power or rotation. The driven gear is turned or moved by the drive gear. Example: The pulley on a motor is the drive pulley and a pulley on a pump is the driven pulley.

How to Calculate Force Applied Tangentially on Driver?

Force Applied Tangentially on Driver calculator uses Force Applied Tangentially on Driver = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction) to calculate the Force Applied Tangentially on Driver, Force Applied Tangentially on Driver formula is defined as the measure of the force exerted tangentially on the driver in a toothed gear system, which is influenced by the radius of the driver and the angle of rotation, playing a crucial role in determining the efficiency of the gear mechanism. Force Applied Tangentially on Driver is denoted by F₁ symbol.

How to calculate Force Applied Tangentially on Driver using this online calculator? To use this online calculator for Force Applied Tangentially on Driver, enter Resultant Reaction at Point of Contact (R), Spiral Angle of Gear Teeth for Gear 1 (α₁) & Angle of Friction (Φ) and hit the calculate button. Here is how the Force Applied Tangentially on Driver calculation can be explained with given input values -> 25.20667 = 27*cos(0.785398163397301-0.41887902047856).

FAQ

What is Force Applied Tangentially on Driver?

Force Applied Tangentially on Driver formula is defined as the measure of the force exerted tangentially on the driver in a toothed gear system, which is influenced by the radius of the driver and the angle of rotation, playing a crucial role in determining the efficiency of the gear mechanism and is represented as F₁ = R*cos(α₁-Φ) or Force Applied Tangentially on Driver = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction). 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.

How to calculate Force Applied Tangentially on Driver?

Force Applied Tangentially on Driver formula is defined as the measure of the force exerted tangentially on the driver in a toothed gear system, which is influenced by the radius of the driver and the angle of rotation, playing a crucial role in determining the efficiency of the gear mechanism is calculated using Force Applied Tangentially on Driver = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction). To calculate Force Applied Tangentially on Driver, you need Resultant Reaction at Point of Contact (R), Spiral Angle of Gear Teeth for Gear 1 (α₁) & Angle of Friction (Φ). 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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