Power Transmitted for Epicyclic-Train Dynamometer using Tangential Effort Solution

STEP 0: Pre-Calculation Summary
Formula Used
Power = (2*pi*Speed of Shaft in RPM*Tangential Effort*Pitch Circle Radius)/60
P = (2*pi*N*Pt*rp)/60
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Power - (Measured in Watt) - Power is the amount of energy liberated per second in a device.
Speed of Shaft in RPM - Speed of shaft in rpm is the number of turns of the shaft divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc.
Tangential Effort - (Measured in Newton) - Tangential Effort is the effort exerted by the spur gear on the pinion.
Pitch Circle Radius - (Measured in Meter) - Pitch Circle Radius is radius of an imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured.
STEP 1: Convert Input(s) to Base Unit
Speed of Shaft in RPM: 500 --> No Conversion Required
Tangential Effort: 7 Newton --> 7 Newton No Conversion Required
Pitch Circle Radius: 0.36 Meter --> 0.36 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (2*pi*N*Pt*rp)/60 --> (2*pi*500*7*0.36)/60
Evaluating ... ...
P = 131.946891450771
STEP 3: Convert Result to Output's Unit
131.946891450771 Watt --> No Conversion Required
FINAL ANSWER
131.946891450771 131.9469 Watt <-- Power
(Calculation completed in 00.004 seconds)

Credits

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National Institute Of Technology (NIT), Hamirpur
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3 Power Transmitted Calculators

Power Transmitted for Epicyclic-Train Dynamometer using Tangential Effort
Go Power = (2*pi*Speed of Shaft in RPM*Tangential Effort*Pitch Circle Radius)/60
Power Transmitted for Epicyclic-Train Dynamometer
Go Power = (2*pi*Speed of Shaft in RPM*Total Torque)/60
Power Transmitted by Torsion Dynamometer
Go Power = (2*pi*Speed of Shaft in RPM*Total Torque)/60

Power Transmitted for Epicyclic-Train Dynamometer using Tangential Effort Formula

Power = (2*pi*Speed of Shaft in RPM*Tangential Effort*Pitch Circle Radius)/60
P = (2*pi*N*Pt*rp)/60

What is epicyclic-train dynamometer?

Epicyclic-train Dynamometer consists of a simple epicyclic train of gears, i.e. a spur gear. The spur gear is keyed to the engine shaft and rotates in an anticlockwise direction. A belt dynamometer is introduced to measure directly the difference between the tensions of the belt, while it is running.

How to Calculate Power Transmitted for Epicyclic-Train Dynamometer using Tangential Effort?

Power Transmitted for Epicyclic-Train Dynamometer using Tangential Effort calculator uses Power = (2*pi*Speed of Shaft in RPM*Tangential Effort*Pitch Circle Radius)/60 to calculate the Power, The Power Transmitted for Epicyclic-train Dynamometer using Tangential Effort formula is defined as the movement of energy from its place of generation to a location where it is applied to perform useful work. Power is defined formally as units of energy per unit time. Power is denoted by P symbol.

How to calculate Power Transmitted for Epicyclic-Train Dynamometer using Tangential Effort using this online calculator? To use this online calculator for Power Transmitted for Epicyclic-Train Dynamometer using Tangential Effort, enter Speed of Shaft in RPM (N), Tangential Effort (Pt) & Pitch Circle Radius (rp) and hit the calculate button. Here is how the Power Transmitted for Epicyclic-Train Dynamometer using Tangential Effort calculation can be explained with given input values -> 131.9469 = (2*pi*500*7*0.36)/60.

FAQ

What is Power Transmitted for Epicyclic-Train Dynamometer using Tangential Effort?
The Power Transmitted for Epicyclic-train Dynamometer using Tangential Effort formula is defined as the movement of energy from its place of generation to a location where it is applied to perform useful work. Power is defined formally as units of energy per unit time and is represented as P = (2*pi*N*Pt*rp)/60 or Power = (2*pi*Speed of Shaft in RPM*Tangential Effort*Pitch Circle Radius)/60. Speed of shaft in rpm is the number of turns of the shaft divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc, Tangential Effort is the effort exerted by the spur gear on the pinion & Pitch Circle Radius is radius of an imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured.
How to calculate Power Transmitted for Epicyclic-Train Dynamometer using Tangential Effort?
The Power Transmitted for Epicyclic-train Dynamometer using Tangential Effort formula is defined as the movement of energy from its place of generation to a location where it is applied to perform useful work. Power is defined formally as units of energy per unit time is calculated using Power = (2*pi*Speed of Shaft in RPM*Tangential Effort*Pitch Circle Radius)/60. To calculate Power Transmitted for Epicyclic-Train Dynamometer using Tangential Effort, you need Speed of Shaft in RPM (N), Tangential Effort (Pt) & Pitch Circle Radius (rp). With our tool, you need to enter the respective value for Speed of Shaft in RPM, Tangential Effort & Pitch Circle Radius 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 Power?
In this formula, Power uses Speed of Shaft in RPM, Tangential Effort & Pitch Circle Radius. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Power = (2*pi*Speed of Shaft in RPM*Total Torque)/60
  • Power = (2*pi*Speed of Shaft in RPM*Total Torque)/60
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