Work Done Per Revolution for Rope Brake Dynamometer Calculator

✖Dead Load includes loads that are relatively constant over time.ⓘ Dead Load [W_dead]			+10% -10%
✖Spring balance Reading in newtons. The reading of the spring balance is the pulling force on it divided by the acceleration due to gravity.ⓘ Spring Balance Reading [S]			+10% -10%
✖The diameter of wheel is a chord that runs through the center point of the circle.ⓘ Diameter of Wheel [D_wheel]			+10% -10%
✖The diameter of rope is a chord that runs through the center point of the circle.ⓘ Diameter of Rope [d_rope]			+10% -10%

✖Work is done when a force that is applied to an object moves that object.ⓘ Work Done Per Revolution for Rope Brake Dynamometer [W]

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Formula

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Work Done Per Revolution for Rope Brake Dynamometer

Formula

`"W" = ("W"_{"dead"}-"S")*pi*("D"_{"wheel"}+"d"_{"rope"})`

Example

`"37.38495J"=("9N"-"2N")*pi*("1.6m"+"0.1m")`

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Work Done Per Revolution for Rope Brake Dynamometer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work = (Dead Load-Spring Balance Reading)*pi*(Diameter of Wheel+Diameter of Rope)
W = (W_dead-S)*pi*(D_wheel+d_rope)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Work - (Measured in Joule) - Work is done when a force that is applied to an object moves that object.
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.

STEP 1: Convert Input(s) to Base Unit

Dead Load: 9 Newton --> 9 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: 0.1 Meter --> 0.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = (W_dead-S)*pi*(D_wheel+d_rope) --> (9-2)*pi*(1.6+0.1)

Evaluating ... ...

W = 37.3849525777185

STEP 3: Convert Result to Output's Unit

37.3849525777185 Joule --> No Conversion Required

FINAL ANSWER

37.3849525777185 ≈ 37.38495 Joule <-- Work

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 6 Work Done Calculators

Work Done Per Minute for Rope Brake Dynamometer

Go Work done per minute = (Dead Load-Spring Balance Reading)*pi*(Diameter of Wheel+Diameter of Rope)*Speed of Shaft in RPM

Work Done Per Minute for Belt Transmission Dynamometer

Go Work done per minute = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*pi*Diameter of the driving pulley*Speed of Shaft in RPM

Work Done Per Revolution for Rope Brake Dynamometer

Go Work = (Dead Load-Spring Balance Reading)*pi*(Diameter of Wheel+Diameter of Rope)

Work Done in One Revolution for Belt Transmission Dynamometer

Go Work = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*pi*Diameter of the driving pulley

Work Done Per Minute for Prony Brake Dynamometer

Go Work done per minute = Torque Exerted on Wheel*2*pi*Speed of Shaft in RPM

Work Done in One Revolution for Prony Brake Dynamometer

Go Work = Torque Exerted on Wheel*2*pi

Work Done Per Revolution for Rope Brake Dynamometer Formula

Work = (Dead Load-Spring Balance Reading)*pi*(Diameter of Wheel+Diameter of Rope)
W = (W_dead-S)*pi*(D_wheel+d_rope)

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 Work Done Per Revolution for Rope Brake Dynamometer?

Work Done Per Revolution for Rope Brake Dynamometer calculator uses Work = (Dead Load-Spring Balance Reading)*pi*(Diameter of Wheel+Diameter of Rope) to calculate the Work, The Work done per revolution for rope brake dynamometer formula is defined when a force acts upon an object while it is moving. Work is denoted by W symbol.

How to calculate Work Done Per Revolution for Rope Brake Dynamometer using this online calculator? To use this online calculator for Work Done Per Revolution for Rope Brake Dynamometer, enter Dead Load (W_dead), Spring Balance Reading (S), Diameter of Wheel (D_wheel) & Diameter of Rope (d_rope) and hit the calculate button. Here is how the Work Done Per Revolution for Rope Brake Dynamometer calculation can be explained with given input values -> 37.38495 = (9-2)*pi*(1.6+0.1).

FAQ

What is Work Done Per Revolution for Rope Brake Dynamometer?

The Work done per revolution for rope brake dynamometer formula is defined when a force acts upon an object while it is moving and is represented as W = (W_dead-S)*pi*(D_wheel+d_rope) or Work = (Dead Load-Spring Balance Reading)*pi*(Diameter of Wheel+Diameter of Rope). 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.

How to calculate Work Done Per Revolution for Rope Brake Dynamometer?

The Work done per revolution for rope brake dynamometer formula is defined when a force acts upon an object while it is moving is calculated using Work = (Dead Load-Spring Balance Reading)*pi*(Diameter of Wheel+Diameter of Rope). To calculate Work Done Per Revolution for Rope Brake Dynamometer, you need Dead Load (W_dead), Spring Balance Reading (S), Diameter of Wheel (D_wheel) & Diameter of Rope (d_rope). With our tool, you need to enter the respective value for Dead Load, Spring Balance Reading, Diameter of Wheel & Diameter of Rope 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 Work?

In this formula, Work uses Dead Load, Spring Balance Reading, Diameter of Wheel & Diameter of Rope. We can use 2 other way(s) to calculate the same, which is/are as follows -

Work = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*pi*Diameter of the driving pulley
Work = Torque Exerted on Wheel*2*pi

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