Maximum Efficiency of Spiral Gears Calculator

✖Shaft angle is the measurement of the angle formed between the obliquely oriented neck with the vertical shaft.ⓘ Shaft Angle [θ]			+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 Efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power.ⓘ Maximum Efficiency of Spiral Gears [η]

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Maximum Efficiency of Spiral Gears Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency = (cos(Shaft Angle+Angle of Friction)+1)/(cos(Shaft Angle-Angle of Friction)+1)
η = (cos(θ+Φ)+1)/(cos(θ-Φ)+1)
This formula uses 1 Functions, 3 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

Efficiency - The Efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power.
Shaft Angle - (Measured in Radian) - Shaft angle is the measurement of the angle formed between the obliquely oriented neck with the vertical shaft.
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

Shaft Angle: 29 Degree --> 0.50614548307826 Radian (Check conversion here)
Angle of Friction: 24 Degree --> 0.41887902047856 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = (cos(θ+Φ)+1)/(cos(θ-Φ)+1) --> (cos(0.50614548307826+0.41887902047856)+1)/(cos(0.50614548307826-0.41887902047856)+1)

Evaluating ... ...

η = 0.802434263893915

STEP 3: Convert Result to Output's Unit

0.802434263893915 --> No Conversion Required

FINAL ANSWER

0.802434263893915 ≈ 0.802434 <-- Efficiency

(Calculation completed in 00.004 seconds)

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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

Maximum Efficiency of Spiral Gears Formula

LaTeX Go

Efficiency = (cos(Shaft Angle+Angle of Friction)+1)/(cos(Shaft Angle-Angle of Friction)+1)
η = (cos(θ+Φ)+1)/(cos(θ-Φ)+1)

What does efficiency mean?

Efficiency signifies a peak level of performance that uses the least amount of inputs to achieve the highest amount of output. It minimizes the waste of resources such as physical materials, energy, and time while accomplishing the desired output.

How to Calculate Maximum Efficiency of Spiral Gears?

Maximum Efficiency of Spiral Gears calculator uses Efficiency = (cos(Shaft Angle+Angle of Friction)+1)/(cos(Shaft Angle-Angle of Friction)+1) to calculate the Efficiency, Maximum Efficiency of Spiral Gears formula is defined as a measure of the optimal performance of spiral gears in transmitting power, taking into account the angle of friction and the pressure angle, to determine the maximum efficiency of the gear system in various mechanical applications. Efficiency is denoted by η symbol.

How to calculate Maximum Efficiency of Spiral Gears using this online calculator? To use this online calculator for Maximum Efficiency of Spiral Gears, enter Shaft Angle (θ) & Angle of Friction (Φ) and hit the calculate button. Here is how the Maximum Efficiency of Spiral Gears calculation can be explained with given input values -> 0.802434 = (cos(0.50614548307826+0.41887902047856)+1)/(cos(0.50614548307826-0.41887902047856)+1).

FAQ

What is Maximum Efficiency of Spiral Gears?

Maximum Efficiency of Spiral Gears formula is defined as a measure of the optimal performance of spiral gears in transmitting power, taking into account the angle of friction and the pressure angle, to determine the maximum efficiency of the gear system in various mechanical applications and is represented as η = (cos(θ+Φ)+1)/(cos(θ-Φ)+1) or Efficiency = (cos(Shaft Angle+Angle of Friction)+1)/(cos(Shaft Angle-Angle of Friction)+1). Shaft angle is the measurement of the angle formed between the obliquely oriented neck with the vertical shaft & 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 Maximum Efficiency of Spiral Gears?

Maximum Efficiency of Spiral Gears formula is defined as a measure of the optimal performance of spiral gears in transmitting power, taking into account the angle of friction and the pressure angle, to determine the maximum efficiency of the gear system in various mechanical applications is calculated using Efficiency = (cos(Shaft Angle+Angle of Friction)+1)/(cos(Shaft Angle-Angle of Friction)+1). To calculate Maximum Efficiency of Spiral Gears, you need Shaft Angle (θ) & Angle of Friction (Φ). With our tool, you need to enter the respective value for Shaft Angle & Angle of Friction 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 Efficiency?

In this formula, Efficiency uses Shaft Angle & Angle of Friction. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))
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)

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