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 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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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

Force Applied Tangentially on Driver Formula

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 is a force that acts on a moving body in the direction of a tangent to the curved path of the body. 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 1) & 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 is a force that acts on a moving body in the direction of a tangent to the curved path of the body 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 is a force that acts on a moving body in the direction of a tangent to the curved path of the body 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 1) & 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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