Ratio of Length of Arm to Length of Link Calculator

✖Angle of Inclination of Link to Vertical is the angle at which the link of a governor is inclined to the vertical axis of the rotating shaft.ⓘ Angle of Inclination of Link to Vertical [β]			+10% -10%
✖Angle of Inclination of Arm to Vertical is the angle at which the arm of a governor is inclined to the vertical direction during its operation.ⓘ Angle of Inclination of Arm to Vertical [α]			+10% -10%

✖Ratio of Length of Link to Length of Arm is the proportion of the length of the link to the length of the arm in a governor mechanism.ⓘ Ratio of Length of Arm to Length of Link [q]

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Ratio of Length of Arm to Length of Link Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ratio of Length of Link to Length of Arm = tan(Angle of Inclination of Link to Vertical)/tan(Angle of Inclination of Arm to Vertical)
q = tan(β)/tan(α)
This formula uses 1 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Ratio of Length of Link to Length of Arm - Ratio of Length of Link to Length of Arm is the proportion of the length of the link to the length of the arm in a governor mechanism.
Angle of Inclination of Link to Vertical - (Measured in Radian) - Angle of Inclination of Link to Vertical is the angle at which the link of a governor is inclined to the vertical axis of the rotating shaft.
Angle of Inclination of Arm to Vertical - (Measured in Radian) - Angle of Inclination of Arm to Vertical is the angle at which the arm of a governor is inclined to the vertical direction during its operation.

STEP 1: Convert Input(s) to Base Unit

Angle of Inclination of Link to Vertical: 35 Degree --> 0.610865238197901 Radian (Check conversion here)
Angle of Inclination of Arm to Vertical: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = tan(β)/tan(α) --> tan(0.610865238197901)/tan(0.785398163397301)

Evaluating ... ...

q = 0.700207538209746

STEP 3: Convert Result to Output's Unit

0.700207538209746 --> No Conversion Required

FINAL ANSWER

0.700207538209746 ≈ 0.700208 <-- Ratio of Length of Link to Length of Arm

(Calculation completed in 00.008 seconds)

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< Basics of Governor Calculators

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Angle between Axis of Radius of Rotation and Line Joining Point on Curve to Origin

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Ratio of Length of Arm to Length of Link Formula

LaTeX Go

Ratio of Length of Link to Length of Arm = tan(Angle of Inclination of Link to Vertical)/tan(Angle of Inclination of Arm to Vertical)
q = tan(β)/tan(α)

What is Governor?

A governor is a system that is used to maintain the mean speed of an engine, within certain limits, under fluctuating load conditions. It does this by regulating and controlling the amount of fuel supplied to the engine.

How to Calculate Ratio of Length of Arm to Length of Link?

Ratio of Length of Arm to Length of Link calculator uses Ratio of Length of Link to Length of Arm = tan(Angle of Inclination of Link to Vertical)/tan(Angle of Inclination of Arm to Vertical) to calculate the Ratio of Length of Link to Length of Arm, Ratio of Length of Arm to Length of Link formula is defined as a dimensionless quantity used in the design of governors, which is a crucial component in mechanical systems, particularly in steam engines, to regulate the speed of the engine by adjusting the fuel supply. Ratio of Length of Link to Length of Arm is denoted by q symbol.

How to calculate Ratio of Length of Arm to Length of Link using this online calculator? To use this online calculator for Ratio of Length of Arm to Length of Link, enter Angle of Inclination of Link to Vertical (β) & Angle of Inclination of Arm to Vertical (α) and hit the calculate button. Here is how the Ratio of Length of Arm to Length of Link calculation can be explained with given input values -> 0.700208 = tan(0.610865238197901)/tan(0.785398163397301).

FAQ

What is Ratio of Length of Arm to Length of Link?

Ratio of Length of Arm to Length of Link formula is defined as a dimensionless quantity used in the design of governors, which is a crucial component in mechanical systems, particularly in steam engines, to regulate the speed of the engine by adjusting the fuel supply and is represented as q = tan(β)/tan(α) or Ratio of Length of Link to Length of Arm = tan(Angle of Inclination of Link to Vertical)/tan(Angle of Inclination of Arm to Vertical). Angle of Inclination of Link to Vertical is the angle at which the link of a governor is inclined to the vertical axis of the rotating shaft & Angle of Inclination of Arm to Vertical is the angle at which the arm of a governor is inclined to the vertical direction during its operation.

How to calculate Ratio of Length of Arm to Length of Link?

Ratio of Length of Arm to Length of Link formula is defined as a dimensionless quantity used in the design of governors, which is a crucial component in mechanical systems, particularly in steam engines, to regulate the speed of the engine by adjusting the fuel supply is calculated using Ratio of Length of Link to Length of Arm = tan(Angle of Inclination of Link to Vertical)/tan(Angle of Inclination of Arm to Vertical). To calculate Ratio of Length of Arm to Length of Link, you need Angle of Inclination of Link to Vertical (β) & Angle of Inclination of Arm to Vertical (α). With our tool, you need to enter the respective value for Angle of Inclination of Link to Vertical & Angle of Inclination of Arm to Vertical 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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