Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear Calculator

✖Loaded radius of front wheels is the distance from the center of the wheel to the road surface, affecting the racing car's tire behavior and performance.ⓘ Loaded Radius of Front Wheels [R_LF]			+10% -10%
✖Horizontal distance of C.G. From Rear Axle is the distance from the center of gravity to the rear axle, affecting the racing car's stability and tire behavior.ⓘ Horizontal Distance of C.G. From Rear Axle [c]			+10% -10%
✖Wheelbase of Vehicle is the distance between the center of the front and rear wheels, affecting the racing car's stability and handling performance.ⓘ Wheelbase of Vehicle [b]			+10% -10%
✖Loaded radius of rear wheels is the distance from the center of the rear wheel to the road surface, affecting the racing car's tire behavior and performance.ⓘ Loaded Radius of Rear Wheels [R_LR]			+10% -10%
✖Horizontal distance of C.G. From Front Axle is the distance from the center of gravity to the front axle of a racing car, affecting its stability and handling.ⓘ Horizontal Distance of C.G. From Front Axle [a_cg]			+10% -10%
✖Weight of front wheels with rear elevated tire behavior is the weight distribution of front wheels when the rear wheels are elevated in a racing car.ⓘ Weight of Front Wheels with Rear Elevated [W_F]			+10% -10%
✖Mass of vehicle is the total weight of the racing car, including the chassis, engine, transmission, and other components, affecting its tire behavior and overall performance.ⓘ Mass of Vehicle [m]			+10% -10%
✖Angle through which rear axle of vehicle raised is the degree of inclination of the rear axle when the vehicle is on an inclined surface.ⓘ Angle through which Rear Axle of Vehicle Raised [θ_a]			+10% -10%

✖Height of Center of Gravity (C.G.) of vehicle is the vertical distance from the ground to the point where the weight of the vehicle is concentrated.ⓘ Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear [h_cg]

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Formula

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Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear

Formula

h cg = (R LF \cdot (\frac{c}{b})) + (R LR \cdot (\frac{a cg}{b})) + (\frac{(W F \cdot b) - (m \cdot c)}{m \cdot \tan (θ a)})

Example

1480.92 in = (11 in \cdot (\frac{30 in}{2.7 m})) + (15 in \cdot (\frac{27 in}{2.7 m})) + (\frac{(150 kg \cdot 2.7 m) - (55 kg \cdot 30 in)}{55 kg \cdot \tan (10 °)})

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Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Center of Gravity (C.G.) of Vehicle = (Loaded Radius of Front Wheels*(Horizontal Distance of C.G. From Rear Axle/Wheelbase of Vehicle))+(Loaded Radius of Rear Wheels*(Horizontal Distance of C.G. From Front Axle/Wheelbase of Vehicle))+(((Weight of Front Wheels with Rear Elevated*Wheelbase of Vehicle)-(Mass of Vehicle*Horizontal Distance of C.G. From Rear Axle))/(Mass of Vehicle*tan(Angle through which Rear Axle of Vehicle Raised)))
h_cg = (R_LF*(c/b))+(R_LR*(a_cg/b))+(((W_F*b)-(m*c))/(m*tan(θ_a)))
This formula uses 1 Functions, 9 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Height of Center of Gravity (C.G.) of Vehicle - (Measured in Meter) - Height of Center of Gravity (C.G.) of vehicle is the vertical distance from the ground to the point where the weight of the vehicle is concentrated.
Loaded Radius of Front Wheels - (Measured in Meter) - Loaded radius of front wheels is the distance from the center of the wheel to the road surface, affecting the racing car's tire behavior and performance.
Horizontal Distance of C.G. From Rear Axle - (Measured in Meter) - Horizontal distance of C.G. From Rear Axle is the distance from the center of gravity to the rear axle, affecting the racing car's stability and tire behavior.
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the distance between the center of the front and rear wheels, affecting the racing car's stability and handling performance.
Loaded Radius of Rear Wheels - (Measured in Meter) - Loaded radius of rear wheels is the distance from the center of the rear wheel to the road surface, affecting the racing car's tire behavior and performance.
Horizontal Distance of C.G. From Front Axle - (Measured in Meter) - Horizontal distance of C.G. From Front Axle is the distance from the center of gravity to the front axle of a racing car, affecting its stability and handling.
Weight of Front Wheels with Rear Elevated - (Measured in Kilogram) - Weight of front wheels with rear elevated tire behavior is the weight distribution of front wheels when the rear wheels are elevated in a racing car.
Mass of Vehicle - (Measured in Kilogram) - Mass of vehicle is the total weight of the racing car, including the chassis, engine, transmission, and other components, affecting its tire behavior and overall performance.
Angle through which Rear Axle of Vehicle Raised - (Measured in Radian) - Angle through which rear axle of vehicle raised is the degree of inclination of the rear axle when the vehicle is on an inclined surface.

STEP 1: Convert Input(s) to Base Unit

Loaded Radius of Front Wheels: 11 Inch --> 0.279400000001118 Meter (Check conversion here)
Horizontal Distance of C.G. From Rear Axle: 30 Inch --> 0.762000000003048 Meter (Check conversion here)
Wheelbase of Vehicle: 2.7 Meter --> 2.7 Meter No Conversion Required
Loaded Radius of Rear Wheels: 15 Inch --> 0.381000000001524 Meter (Check conversion here)
Horizontal Distance of C.G. From Front Axle: 27 Inch --> 0.685800000002743 Meter (Check conversion here)
Weight of Front Wheels with Rear Elevated: 150 Kilogram --> 150 Kilogram No Conversion Required
Mass of Vehicle: 55 Kilogram --> 55 Kilogram No Conversion Required
Angle through which Rear Axle of Vehicle Raised: 10 Degree --> 0.1745329251994 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_cg = (R_LF*(c/b))+(R_LR*(a_cg/b))+(((W_F*b)-(m*c))/(m*tan(θ_a))) --> (0.279400000001118*(0.762000000003048/2.7))+(0.381000000001524*(0.685800000002743/2.7))+(((150*2.7)-(55*0.762000000003048))/(55*tan(0.1745329251994)))

Evaluating ... ...

h_cg = 37.6153671776983

STEP 3: Convert Result to Output's Unit

37.6153671776983 Meter -->1480.91996761999 Inch (Check conversion here)

FINAL ANSWER

1480.91996761999 ≈ 1480.92 Inch <-- Height of Center of Gravity (C.G.) of Vehicle

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Tire Behavior in Racing Car » Mechanical » Wheel Parameters » Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear

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AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune

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< Wheel Parameters Calculators

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))

Angle between Traction Force and Horizontal Axis

Go Angle between Traction Force and Horizontal Axis = asin(1-Curb Height/Effective Radius of Wheel)

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

Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear Formula

All about Height of Center of gravity of vehicle

Height of Center of gravity of the vehicle is the theoretical point where the sum of all of the masses of each of its individual components effectively acts. One method of determining the height of CG is to Jack the rear axle up so that the front to rear wheel centerlines are at an angle θ with horizontal. Conditions for this test are, suspension motion must be locked up. The standard way to do this is to replace the shock absorbers with rigid links that will keep the car at ride height. for example weld up an old set of shocks. The front wheels are choked on scales and rear axle is raised.

How to Calculate Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear?

Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear calculator uses Height of Center of Gravity (C.G.) of Vehicle = (Loaded Radius of Front Wheels*(Horizontal Distance of C.G. From Rear Axle/Wheelbase of Vehicle))+(Loaded Radius of Rear Wheels*(Horizontal Distance of C.G. From Front Axle/Wheelbase of Vehicle))+(((Weight of Front Wheels with Rear Elevated*Wheelbase of Vehicle)-(Mass of Vehicle*Horizontal Distance of C.G. From Rear Axle))/(Mass of Vehicle*tan(Angle through which Rear Axle of Vehicle Raised))) to calculate the Height of Center of Gravity (C.G.) of Vehicle, Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear formula is defined as a method to determine the vertical distance of the center of gravity of a vehicle from the ground, which is crucial in understanding the vehicle's stability and balance during various driving conditions. Height of Center of Gravity (C.G.) of Vehicle is denoted by h_cg symbol.

How to calculate Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear using this online calculator? To use this online calculator for Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear, enter Loaded Radius of Front Wheels (R_LF), Horizontal Distance of C.G. From Rear Axle (c), Wheelbase of Vehicle (b), Loaded Radius of Rear Wheels (R_LR), Horizontal Distance of C.G. From Front Axle (a_cg), Weight of Front Wheels with Rear Elevated (W_F), Mass of Vehicle (m) & Angle through which Rear Axle of Vehicle Raised (θ_a) and hit the calculate button. Here is how the Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear calculation can be explained with given input values -> 58303.94 = (0.279400000001118*(0.762000000003048/2.7))+(0.381000000001524*(0.685800000002743/2.7))+(((150*2.7)-(55*0.762000000003048))/(55*tan(0.1745329251994))).

FAQ

What is Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear?

Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear formula is defined as a method to determine the vertical distance of the center of gravity of a vehicle from the ground, which is crucial in understanding the vehicle's stability and balance during various driving conditions and is represented as h_cg = (R_LF*(c/b))+(R_LR*(a_cg/b))+(((W_F*b)-(m*c))/(m*tan(θ_a))) or Height of Center of Gravity (C.G.) of Vehicle = (Loaded Radius of Front Wheels*(Horizontal Distance of C.G. From Rear Axle/Wheelbase of Vehicle))+(Loaded Radius of Rear Wheels*(Horizontal Distance of C.G. From Front Axle/Wheelbase of Vehicle))+(((Weight of Front Wheels with Rear Elevated*Wheelbase of Vehicle)-(Mass of Vehicle*Horizontal Distance of C.G. From Rear Axle))/(Mass of Vehicle*tan(Angle through which Rear Axle of Vehicle Raised))). Loaded radius of front wheels is the distance from the center of the wheel to the road surface, affecting the racing car's tire behavior and performance, Horizontal distance of C.G. From Rear Axle is the distance from the center of gravity to the rear axle, affecting the racing car's stability and tire behavior, Wheelbase of Vehicle is the distance between the center of the front and rear wheels, affecting the racing car's stability and handling performance, Loaded radius of rear wheels is the distance from the center of the rear wheel to the road surface, affecting the racing car's tire behavior and performance, Horizontal distance of C.G. From Front Axle is the distance from the center of gravity to the front axle of a racing car, affecting its stability and handling, Weight of front wheels with rear elevated tire behavior is the weight distribution of front wheels when the rear wheels are elevated in a racing car, Mass of vehicle is the total weight of the racing car, including the chassis, engine, transmission, and other components, affecting its tire behavior and overall performance & Angle through which rear axle of vehicle raised is the degree of inclination of the rear axle when the vehicle is on an inclined surface.

How to calculate Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear?

Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear formula is defined as a method to determine the vertical distance of the center of gravity of a vehicle from the ground, which is crucial in understanding the vehicle's stability and balance during various driving conditions is calculated using Height of Center of Gravity (C.G.) of Vehicle = (Loaded Radius of Front Wheels*(Horizontal Distance of C.G. From Rear Axle/Wheelbase of Vehicle))+(Loaded Radius of Rear Wheels*(Horizontal Distance of C.G. From Front Axle/Wheelbase of Vehicle))+(((Weight of Front Wheels with Rear Elevated*Wheelbase of Vehicle)-(Mass of Vehicle*Horizontal Distance of C.G. From Rear Axle))/(Mass of Vehicle*tan(Angle through which Rear Axle of Vehicle Raised))). To calculate Height of Center of Gravity of Vehicle by method of jacking Vehicle from Rear, you need Loaded Radius of Front Wheels (R_LF), Horizontal Distance of C.G. From Rear Axle (c), Wheelbase of Vehicle (b), Loaded Radius of Rear Wheels (R_LR), Horizontal Distance of C.G. From Front Axle (a_cg), Weight of Front Wheels with Rear Elevated (W_F), Mass of Vehicle (m) & Angle through which Rear Axle of Vehicle Raised (θ_a). With our tool, you need to enter the respective value for Loaded Radius of Front Wheels, Horizontal Distance of C.G. From Rear Axle, Wheelbase of Vehicle, Loaded Radius of Rear Wheels, Horizontal Distance of C.G. From Front Axle, Weight of Front Wheels with Rear Elevated, Mass of Vehicle & Angle through which Rear Axle of Vehicle Raised 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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