Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links Calculator

✖The mass of ball is the amount of "matter" in the object.ⓘ Mass of Ball [m_ball]			+10% -10%
✖Mass of central load is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied.ⓘ Mass of Central Load [M]			+10% -10%
✖Height of governor is the measurement from the bottom to the top of the governor.ⓘ Height of Governor [h]			+10% -10%

✖Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).ⓘ Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links [N]

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Formula

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Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links

Formula

`"N" = sqrt(("m"_{"ball"}+"M")*895/("m"_{"ball"}*"h"))`

Example

`"36.64014"=sqrt(("6kg"+"21kg")*895/("6kg"*"3m"))`

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Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed in RPM = sqrt((Mass of Ball+Mass of Central Load)*895/(Mass of Ball*Height of Governor))
N = sqrt((m_ball+M)*895/(m_ball*h))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Speed in RPM - Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).
Mass of Ball - (Measured in Kilogram) - The mass of ball is the amount of "matter" in the object.
Mass of Central Load - (Measured in Kilogram) - Mass of central load is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied.
Height of Governor - (Measured in Meter) - Height of governor is the measurement from the bottom to the top of the governor.

STEP 1: Convert Input(s) to Base Unit

Mass of Ball: 6 Kilogram --> 6 Kilogram No Conversion Required
Mass of Central Load: 21 Kilogram --> 21 Kilogram No Conversion Required
Height of Governor: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = sqrt((m_ball+M)*895/(m_ball*h)) --> sqrt((6+21)*895/(6*3))

Evaluating ... ...

N = 36.6401419211225

STEP 3: Convert Result to Output's Unit

36.6401419211225 --> No Conversion Required

FINAL ANSWER

36.6401419211225 ≈ 36.64014 <-- Speed in RPM

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Governors » Porter Governor » Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 15 Porter Governor Calculators

Coefficient of Insensitiveness for Porter Governor if Angle Made by Upper and Lower Arm Aren't Equal

Go Coefficient of Insensitiveness = (Frictional Force on Sleeve*(1+Ratio of Length of Link to Length of Arm))/(2*Mass of Ball*Acceleration due to Gravity+Mass of Central Load*Acceleration due to Gravity*(1+Ratio of Length of Link to Length of Arm))

Power of Porter Governor if Angle Made by Upper and Lower Arms are Not Equal

Go Power = (Mass of Ball+Mass of Central Load/2*(1+Ratio of Length of Link to Length of Arm))*(4*Percentage Increase in Speed^2*Acceleration due to Gravity*Height of Governor)/(1+2*Percentage Increase in Speed)

Coefficient of Insensitiveness for Porter Governor when Lower Arm is Not Attached on Governor

Go Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*(1+Ratio of Length of Link to Length of Arm)*Radius of Path of Rotation of Ball)/(2*Controlling Force*Height of Governor)

Height of Governor for Porter Governor

Go Height of Governor = (Mass of Ball+Mass of Central Load/2*(Ratio of Length of Link to Length of Arm+1))*Acceleration due to Gravity/(Mass of Ball*Angular Velocity^2)

Power of Porter Governor if Angle Made by Upper and Lower Arms are Equal

Go Power = (4*Percentage Increase in Speed^2*(Mass of Ball+Mass of Central Load)*Acceleration due to Gravity*Height of Governor)/(1+2*Percentage Increase in Speed)

Coefficient of Insensitiveness when All Arms of Porter Governor are Attached to Governor Axis

Go Coefficient of Insensitiveness = (Force Required at Sleeve to Overcome Friction*Radius of Path of Rotation of Ball)/(Controlling Force*Height of Governor)

Height of Governor for Porter Governor when Ratio of Length of Link to Length of Arm is 1

Go Height of Governor = (Mass of Ball+Mass of Central Load)*Acceleration due to Gravity/(Mass of Ball*Angular Velocity^2)

Lift of Sleeve for Porter Governor if Angle Made by Upper and Lower Arms are Not Equal

Go Lift of Sleeve = (1+Ratio of Length of Link to Length of Arm)*(2*Height of Governor*Percentage Increase in Speed)/(1+2*Percentage Increase in Speed)

Coefficient of Insensitiveness for Porter Governor if Angle Made by Upper and Lower Arm are Equal

Go Coefficient of Insensitiveness = Frictional Force on Sleeve/((Mass of Ball+Mass of Central Load)*Acceleration due to Gravity)

Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links

Go Speed in RPM = sqrt((Mass of Ball+Mass of Central Load)*895/(Mass of Ball*Height of Governor))

Controlling Force for Porter Governor given Radius of Rotation of Mid Position

Go Force = Mass of Ball*((2*pi*Mean Equilibrium Speed in RPM)/60)^2*Radius of Rotation if Governor is in Mid-Position

Lift of Sleeve for Porter Governor if Angle Made by Upper and Lower Arms are Equal

Go Lift of Sleeve = (4*Height of Governor*Percentage Increase in Speed)/(1+2*Percentage Increase in Speed)

Controlling Force for Porter Governor

Go Force = Mass of Ball*Mean Equilibrium Angular Speed^2*Radius of Rotation if Governor is in Mid-Position

Angle of Inclination of Arm to Vertical for Porter Governor

Go Angle of Inclination of Arm to Vertical = atan(Radius of Path of Rotation of Ball/Height of Governor)

Net Increase in Speed of Porter Governor

Go Increase in Speed = Percentage Increase in Speed*Mean Equilibrium Speed in RPM

Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links Formula

Speed in RPM = sqrt((Mass of Ball+Mass of Central Load)*895/(Mass of Ball*Height of Governor))
N = sqrt((m_ball+M)*895/(m_ball*h))

What is the use of Porter governor?

This Porter Governor is also a type of the Centrifugal Governor with an additional central load on the sleeve to increase the speed of the balls required to lift the sleeve on the spindle. Which will enable the governor to operate the mechanism to give necessary change in the fuel supply.

How to Calculate Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links?

Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links calculator uses Speed in RPM = sqrt((Mass of Ball+Mass of Central Load)*895/(Mass of Ball*Height of Governor)) to calculate the Speed in RPM, Speed of Ball for Porter Governor given Length of Arms is equal to Length of Links is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc. Speed in RPM is denoted by N symbol.

How to calculate Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links using this online calculator? To use this online calculator for Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links, enter Mass of Ball (m_ball), Mass of Central Load (M) & Height of Governor (h) and hit the calculate button. Here is how the Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links calculation can be explained with given input values -> 36.64014 = sqrt((6+21)*895/(6*3)).

FAQ

What is Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links?

Speed of Ball for Porter Governor given Length of Arms is equal to Length of Links is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc and is represented as N = sqrt((m_ball+M)*895/(m_ball*h)) or Speed in RPM = sqrt((Mass of Ball+Mass of Central Load)*895/(Mass of Ball*Height of Governor)). The mass of ball is the amount of "matter" in the object, Mass of central load is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied & Height of governor is the measurement from the bottom to the top of the governor.

How to calculate Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links?

Speed of Ball for Porter Governor given Length of Arms is equal to Length of Links is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc is calculated using Speed in RPM = sqrt((Mass of Ball+Mass of Central Load)*895/(Mass of Ball*Height of Governor)). To calculate Speed of Ball for Porter Governor given Length of Arms is Equal to Length of Links, you need Mass of Ball (m_ball), Mass of Central Load (M) & Height of Governor (h). With our tool, you need to enter the respective value for Mass of Ball, Mass of Central Load & Height of Governor 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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