Brake Power of Engine for Rope Brake Dynamometer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Brake Power = ((Dead Load-Spring Balance Reading)*pi*(Diameter of Wheel+Diameter of Rope)*Speed of Shaft in RPM)/60
BP = ((Wd-S)*pi*(Dw+dr)*N)/60
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Brake Power - (Measured in Watt) - Brake Power is the power available at the crankshaft.
Dead Load - (Measured in Newton) - Dead Load includes loads that are relatively constant over time.
Spring Balance Reading - (Measured in Newton) - Spring balance Reading in newtons. The reading of the spring balance is the pulling force on it divided by the acceleration due to gravity.
Diameter of Wheel - (Measured in Meter) - The diameter of wheel is a chord that runs through the center point of the circle.
Diameter of Rope - (Measured in Meter) - The diameter of rope is a chord that runs through the center point of the circle.
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.
STEP 1: Convert Input(s) to Base Unit
Dead Load: 43.25 Newton --> 43.25 Newton No Conversion Required
Spring Balance Reading: 2 Newton --> 2 Newton No Conversion Required
Diameter of Wheel: 1.6 Meter --> 1.6 Meter No Conversion Required
Diameter of Rope: 0.001 Meter --> 0.001 Meter No Conversion Required
Speed of Shaft in RPM: 500 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
BP = ((Wd-S)*pi*(Dw+dr)*N)/60 --> ((43.25-2)*pi*(1.6+0.001)*500)/60
Evaluating ... ...
BP = 1728.95588194906
STEP 3: Convert Result to Output's Unit
1728.95588194906 Watt --> No Conversion Required
FINAL ANSWER
1728.95588194906 1728.956 Watt <-- Brake Power
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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Brake Power Calculators

Brake Power of Engine for Belt Transmission Dynamometer
​ LaTeX ​ Go Brake Power = ((Tension in Tight Side of Belt-Tension in Slack Side of Belt)*pi*Diameter of the Driving Pulley*Speed of Shaft in RPM)/60
Brake Power of Engine for Prony Brake Dynamometer
​ LaTeX ​ Go Brake Power = (Weight at Outer End of Lever*Distance between Weight and Center of Pulley*2*pi*Speed of Shaft in RPM)/60
Brake Power of Engine for Prony Brake Dynamometer given Speed of Shaft
​ LaTeX ​ Go Brake Power = (Total Torque*2*pi*Speed of Shaft in RPM)/60
Brake Power of Engine for Prony Brake Dynamometer given Work Done per Minute
​ LaTeX ​ Go Brake Power = Work Done Per Minute/60

Brake Power of Engine for Rope Brake Dynamometer Formula

​LaTeX ​Go
Brake Power = ((Dead Load-Spring Balance Reading)*pi*(Diameter of Wheel+Diameter of Rope)*Speed of Shaft in RPM)/60
BP = ((Wd-S)*pi*(Dw+dr)*N)/60

What is rope brake dynamometer?

Dynamometer of rope brake is an equipment to measure the brake power produced by a rotating shaft. A rope brake dynamometer uses mechanisms of absorption (friction torque), by using the principle of torque produced by the engine equal to frictional torque caused by the rope.

How to Calculate Brake Power of Engine for Rope Brake Dynamometer?

Brake Power of Engine for Rope Brake Dynamometer calculator uses Brake Power = ((Dead Load-Spring Balance Reading)*pi*(Diameter of Wheel+Diameter of Rope)*Speed of Shaft in RPM)/60 to calculate the Brake Power, Brake Power of Engine for Rope Brake Dynamometer formula is defined as the measure of the power produced by an engine when it is connected to a rope brake dynamometer, which is a device used to measure the power output of an engine by applying a braking force to the engine's output shaft. Brake Power is denoted by BP symbol.

How to calculate Brake Power of Engine for Rope Brake Dynamometer using this online calculator? To use this online calculator for Brake Power of Engine for Rope Brake Dynamometer, enter Dead Load (Wd), Spring Balance Reading (S), Diameter of Wheel (Dw), Diameter of Rope (dr) & Speed of Shaft in RPM (N) and hit the calculate button. Here is how the Brake Power of Engine for Rope Brake Dynamometer calculation can be explained with given input values -> 10178.27 = ((43.25-2)*pi*(1.6+0.001)*500)/60.

FAQ

What is Brake Power of Engine for Rope Brake Dynamometer?
Brake Power of Engine for Rope Brake Dynamometer formula is defined as the measure of the power produced by an engine when it is connected to a rope brake dynamometer, which is a device used to measure the power output of an engine by applying a braking force to the engine's output shaft and is represented as BP = ((Wd-S)*pi*(Dw+dr)*N)/60 or Brake Power = ((Dead Load-Spring Balance Reading)*pi*(Diameter of Wheel+Diameter of Rope)*Speed of Shaft in RPM)/60. Dead Load includes loads that are relatively constant over time, Spring balance Reading in newtons. The reading of the spring balance is the pulling force on it divided by the acceleration due to gravity, The diameter of wheel is a chord that runs through the center point of the circle, The diameter of rope is a chord that runs through the center point of the circle & 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.
How to calculate Brake Power of Engine for Rope Brake Dynamometer?
Brake Power of Engine for Rope Brake Dynamometer formula is defined as the measure of the power produced by an engine when it is connected to a rope brake dynamometer, which is a device used to measure the power output of an engine by applying a braking force to the engine's output shaft is calculated using Brake Power = ((Dead Load-Spring Balance Reading)*pi*(Diameter of Wheel+Diameter of Rope)*Speed of Shaft in RPM)/60. To calculate Brake Power of Engine for Rope Brake Dynamometer, you need Dead Load (Wd), Spring Balance Reading (S), Diameter of Wheel (Dw), Diameter of Rope (dr) & Speed of Shaft in RPM (N). With our tool, you need to enter the respective value for Dead Load, Spring Balance Reading, Diameter of Wheel, Diameter of Rope & Speed of Shaft in RPM 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 Brake Power?
In this formula, Brake Power uses Dead Load, Spring Balance Reading, Diameter of Wheel, Diameter of Rope & Speed of Shaft in RPM. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Brake Power = ((Tension in Tight Side of Belt-Tension in Slack Side of Belt)*pi*Diameter of the Driving Pulley*Speed of Shaft in RPM)/60
  • Brake Power = (Weight at Outer End of Lever*Distance between Weight and Center of Pulley*2*pi*Speed of Shaft in RPM)/60
  • Brake Power = (Total Torque*2*pi*Speed of Shaft in RPM)/60
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