Mechanical Advantage of Wheel and Axle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mechanical Advantage of Wheel and Axle = Effective Radius of Wheel/Radius of Axle
MA = rd/Ra
This formula uses 3 Variables
Variables Used
Mechanical Advantage of Wheel and Axle - Mechanical Advantage of Wheel and Axle is defined as the ratio of radius of wheel to the radius of axle connected to the same. It is a unit-less quantity.
Effective Radius of Wheel - (Measured in Meter) - The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.
Radius of Axle - (Measured in Meter) - Radius of Axle is defined as the distance of the outer surface of axle from its center axis.
STEP 1: Convert Input(s) to Base Unit
Effective Radius of Wheel: 0.55 Meter --> 0.55 Meter No Conversion Required
Radius of Axle: 0.0975 Meter --> 0.0975 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
MA = rd/Ra --> 0.55/0.0975
Evaluating ... ...
MA = 5.64102564102564
STEP 3: Convert Result to Output's Unit
5.64102564102564 --> No Conversion Required
FINAL ANSWER
5.64102564102564 5.641026 <-- Mechanical Advantage of Wheel and Axle
(Calculation completed in 00.020 seconds)

Credits

Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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National Institute Of Technology (NIT), Hamirpur
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19 Tire Behavior in Racing Car Calculators

Tractive Effort in Multi-Geared Vehicle at any given Gear
Go Tractive Effort in Multi-geared Vehicle = (Torque Output of Vehicle*Gear Ratio of Transmission*Gear Ratio of Final Drive*Transmission Efficiency of Vehicle)/Effective Radius of Wheel
Normal Load on Wheels due to Gradient
Go Normal Load on Wheels due to Gradient = Vehicle Weight in Newtons*Acceleration due to Gravity*cos(Angle of Inclination of Ground from Horizontal)
Wheel Force
Go Wheel Force = 2*Engine Torque*Transmission Efficiency of Vehicle/Diameter of Wheel*Engine Speed in rpm/Wheel Speed
Curb Force for Driven Wheel
Go Curb Force for Driven Wheel = (Weight on Single Wheel*Contact Point Distance from Wheel Center Axis)/(Effective Radius of Wheel-Height of Curb)
Slip of Tire
Go Slip of Tire = ((Forward Velocity of Vehicle-Vehicle Wheel Angular Velocity*Effective Radius of Wheel)/Forward Velocity of Vehicle)*100
Gradient Resistance of Vehicle
Go Gradient Resistance = Vehicle Weight in Newtons*Acceleration due to Gravity*sin(Angle of Inclination of Ground from Horizontal)
Longitudinal Slip Velocity
Go Longitudinal Slip Velocity = Axle Speed over Roadway*cos(Slip Angle)-Circumferential Velocity of Tire under Traction
Contact Point of Wheel and Curb Distance from Wheel Center Axis
Go Contact Point Distance from Wheel Center Axis = sqrt(2*Effective Radius of Wheel*(Height of Curb-Height of Curb^2))
Traction Force Required to Climb Curb
Go Traction Force required to Climb Curb = Weight on Single Wheel*cos(Angle between Traction Force and Horizontal Axis)
Angle between Traction Force and Horizontal Axis
Go Angle between Traction Force and Horizontal Axis = asin(1-Curb Height/Effective Radius of Wheel)
Longitudinal Slip Velocity for Zero Slip Angle
Go Longitudinal (Angular) Slip Velocity = Angular Velocity of Driven (or braked) Wheel-Angular Velocity of Free Rolling Wheel
Lateral Slip Velocity
Go Lateral Slip Velocity = Axle Speed over Roadway*sin(Slip Angle)
Mechanical Advantage of Wheel and Axle
Go Mechanical Advantage of Wheel and Axle = Effective Radius of Wheel/Radius of Axle
Wheel Diameter of Vehicle
Go Wheel Diameter of Vehicle = Rim Diameter+2*Tire Side Wall Height
Tire Side Wall Height
Go Tire Side Wall Height = (Aspect Ratio of Tire*Tire Width)/100
Aspect Ratio of Tire
Go Aspect Ratio of Tire = Tire Side Wall Height/Tire Width*100
Variation of Rolling Resistance Coefficient at Varying Speed
Go Rolling Resistance Coefficient = 0.01*(1+Vehicle Speed/100)
Circumference of Wheel
Go Wheel Circumference = 3.1415*Wheel Diameter of Vehicle
Wheel Radius of Vehicle
Go Wheel Radius in Meter = Wheel Diameter of Vehicle/2

Mechanical Advantage of Wheel and Axle Formula

Mechanical Advantage of Wheel and Axle = Effective Radius of Wheel/Radius of Axle
MA = rd/Ra

What is mechanical advantage of wheel and axle?

Mechanical advantage that is computed using the assumption that no power is lost through deflection, friction and wear of a machine is the maximum performance that can be achieved. Mechanical advantage is a measure of the force amplification achieved by using a tool, mechanical device or machine system. The device trades off input forces against movement to obtain a desired amplification in the output force.

How to Calculate Mechanical Advantage of Wheel and Axle?

Mechanical Advantage of Wheel and Axle calculator uses Mechanical Advantage of Wheel and Axle = Effective Radius of Wheel/Radius of Axle to calculate the Mechanical Advantage of Wheel and Axle, The Mechanical advantage of wheel and axle formula is defined as the ratio of radius of wheel to the radius of axle connected to the same. It is a unit-less quantity. Mechanical Advantage of Wheel and Axle is denoted by MA symbol.

How to calculate Mechanical Advantage of Wheel and Axle using this online calculator? To use this online calculator for Mechanical Advantage of Wheel and Axle, enter Effective Radius of Wheel (rd) & Radius of Axle (Ra) and hit the calculate button. Here is how the Mechanical Advantage of Wheel and Axle calculation can be explained with given input values -> 5.641026 = 0.55/0.0975.

FAQ

What is Mechanical Advantage of Wheel and Axle?
The Mechanical advantage of wheel and axle formula is defined as the ratio of radius of wheel to the radius of axle connected to the same. It is a unit-less quantity and is represented as MA = rd/Ra or Mechanical Advantage of Wheel and Axle = Effective Radius of Wheel/Radius of Axle. The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling & Radius of Axle is defined as the distance of the outer surface of axle from its center axis.
How to calculate Mechanical Advantage of Wheel and Axle?
The Mechanical advantage of wheel and axle formula is defined as the ratio of radius of wheel to the radius of axle connected to the same. It is a unit-less quantity is calculated using Mechanical Advantage of Wheel and Axle = Effective Radius of Wheel/Radius of Axle. To calculate Mechanical Advantage of Wheel and Axle, you need Effective Radius of Wheel (rd) & Radius of Axle (Ra). With our tool, you need to enter the respective value for Effective Radius of Wheel & Radius of Axle 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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