Resisting Force Acting Tangentially 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%

✖The resisting force acting tangentially on driven is any interaction that, when unopposed, will change the motion of an object.ⓘ Resisting Force Acting Tangentially on Driven [F₂]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Theory of Machine Formula PDF PDF Image

Resisting Force Acting Tangentially on Driven Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resisting Force acting Tangentially on Driven = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)
F₂ = R*cos(α₂+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

Resisting Force acting Tangentially on Driven - (Measured in Newton) - The resisting force acting tangentially on driven 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 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.

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F₂ = R*cos(α₂+Φ) --> 27*cos(0.524471440224197+0.41887902047856)

Evaluating ... ...

F₂ = 15.8511337575494

STEP 3: Convert Result to Output's Unit

15.8511337575494 Newton --> No Conversion Required

FINAL ANSWER

15.8511337575494 ≈ 15.85113 Newton <-- Resisting Force acting Tangentially on Driven

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Theory of Machine » Toothed Gearing » Mechanical » Toothed Gear Terminologies » Resisting Force Acting Tangentially on Driven

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< 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

Resisting Force Acting Tangentially on Driven Formula

LaTeX 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)
F₂ = R*cos(α₂+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 Resisting Force Acting Tangentially on Driven?

Resisting Force Acting Tangentially on Driven calculator uses Resisting Force acting Tangentially on Driven = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction) to calculate the Resisting Force acting Tangentially on Driven, Resisting Force Acting Tangentially on Driven formula is defined as the force that opposes the motion of a driven gear in a toothed gear system, acting tangentially to the direction of motion, and is influenced by the radius of the driven gear and the angle of the driving force. Resisting Force acting Tangentially on Driven is denoted by F₂ symbol.

How to calculate Resisting Force Acting Tangentially on Driven using this online calculator? To use this online calculator for Resisting Force Acting Tangentially on Driven, enter Resultant Reaction at Point of Contact (R), Spiral Angle of Gear Teeth for Gear 2 (α₂) & Angle of Friction (Φ) and hit the calculate button. Here is how the Resisting Force Acting Tangentially on Driven calculation can be explained with given input values -> 15.85113 = 27*cos(0.524471440224197+0.41887902047856).

FAQ

What is Resisting Force Acting Tangentially on Driven?

Resisting Force Acting Tangentially on Driven formula is defined as the force that opposes the motion of a driven gear in a toothed gear system, acting tangentially to the direction of motion, and is influenced by the radius of the driven gear and the angle of the driving force and is represented as F₂ = R*cos(α₂+Φ) or Resisting Force acting Tangentially on Driven = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+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 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.

How to calculate Resisting Force Acting Tangentially on Driven?

Resisting Force Acting Tangentially on Driven formula is defined as the force that opposes the motion of a driven gear in a toothed gear system, acting tangentially to the direction of motion, and is influenced by the radius of the driven gear and the angle of the driving force is calculated using Resisting Force acting Tangentially on Driven = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction). To calculate Resisting Force Acting Tangentially on Driven, you need Resultant Reaction at Point of Contact (R), Spiral Angle of Gear Teeth for Gear 2 (α₂) & 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 2 & Angle of Friction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search