Height of Centre of Gravity from Road Surface from Percentage Anti Lift Calculator

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Suspension Geometry

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Front Axle and Steering

Race Car Vehicle Dynamics

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Anti Geometry of Independent Suspension

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Side View

✖Percentage Rear Braking is the percentage brake distribution on to the rear brakes.ⓘ Percentage Rear Braking [%B_r]			+10% -10%
✖Side View Swing Arm Height is the height of the Instantaneous center of swing arm as seen from side view.ⓘ Side View Swing Arm Height [SVSA_h]			+10% -10%
✖Side View Swing Arm Length is the horizontal distance between center point of tyre and instantaneous center of swing arm in the side view.ⓘ Side View Swing Arm Length [SVSA_l]			+10% -10%
✖Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.ⓘ Wheelbase of Vehicle [b]			+10% -10%
✖Percentage Anti Lift describes the amount the rear of the vehicle lifts under braking.ⓘ Percentage Anti Lift [%AL_r]			+10% -10%

✖Height of CG above Road is defined as the height of vehicle's centre of gravity above road surface.ⓘ Height of Centre of Gravity from Road Surface from Percentage Anti Lift [h]

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Formula

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Height of Centre of Gravity from Road Surface from Percentage Anti Lift

Formula

`"h" = (("%B"_{"r"})*("SVSA"_{"h"}/"SVSA"_{"l"})*"b")/"%AL"_{"r"}`

Example

`"9870.438mm"=(("60.1")*("200mm"/"600mm")*"1350mm")/"2.74"`

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Height of Centre of Gravity from Road Surface from Percentage Anti Lift Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of CG above Road = ((Percentage Rear Braking)*(Side View Swing Arm Height/Side View Swing Arm Length)*Wheelbase of Vehicle)/Percentage Anti Lift
h = ((%B_r)*(SVSA_h/SVSA_l)*b)/%AL_r
This formula uses 6 Variables

Variables Used

Height of CG above Road - (Measured in Meter) - Height of CG above Road is defined as the height of vehicle's centre of gravity above road surface.
Percentage Rear Braking - Percentage Rear Braking is the percentage brake distribution on to the rear brakes.
Side View Swing Arm Height - (Measured in Meter) - Side View Swing Arm Height is the height of the Instantaneous center of swing arm as seen from side view.
Side View Swing Arm Length - (Measured in Meter) - Side View Swing Arm Length is the horizontal distance between center point of tyre and instantaneous center of swing arm in the side view.
Wheelbase of Vehicle - (Measured in Meter) - Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle.
Percentage Anti Lift - Percentage Anti Lift describes the amount the rear of the vehicle lifts under braking.

STEP 1: Convert Input(s) to Base Unit

Percentage Rear Braking: 60.1 --> No Conversion Required
Side View Swing Arm Height: 200 Millimeter --> 0.2 Meter (Check conversion here)
Side View Swing Arm Length: 600 Millimeter --> 0.6 Meter (Check conversion here)
Wheelbase of Vehicle: 1350 Millimeter --> 1.35 Meter (Check conversion here)
Percentage Anti Lift: 2.74 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = ((%B_r)*(SVSA_h/SVSA_l)*b)/%AL_r --> ((60.1)*(0.2/0.6)*1.35)/2.74

Evaluating ... ...

h = 9.87043795620438

STEP 3: Convert Result to Output's Unit

9.87043795620438 Meter -->9870.43795620438 Millimeter (Check conversion here)

FINAL ANSWER

9870.43795620438 ≈ 9870.438 Millimeter <-- Height of CG above Road

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Suspension Geometry » Anti Geometry of Independent Suspension » Height of Centre of Gravity from Road Surface from Percentage Anti Lift

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

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< 13 Anti Geometry of Independent Suspension Calculators

Wheelbase of Vehicle from Percentage Anti Dive

Go Wheelbase of Vehicle = Percentage Anti Dive Front/((Percentage Front Braking)*(Side View Swing Arm Height/Side View Swing Arm Length)/(Height of CG above Road))

Height of Centre of Gravity from Road Surface from Percentage Anti Dive

Go Height of CG above Road = ((Percentage Front Braking)*(Side View Swing Arm Height/Side View Swing Arm Length)*Wheelbase of Vehicle)/Percentage Anti Dive Front

Percentage Front Braking given Percentage Anti Dive

Go Percentage Front Braking = Percentage Anti Dive Front/((Side View Swing Arm Height/Side View Swing Arm Length)/(Height of CG above Road/Wheelbase of Vehicle))

Percentage Anti Dive on Front

Go Percentage Anti Dive Front = (Percentage Front Braking)*(Side View Swing Arm Height/Side View Swing Arm Length)/(Height of CG above Road/Wheelbase of Vehicle)

Wheelbase of Vehicle from Percentage Anti Lift

Go Wheelbase of Vehicle = Percentage Anti Lift/((Percentage Front Braking)*(Side View Swing Arm Height/Side View Swing Arm Length)/(Height of CG above Road))

Percentage Anti Lift

Go Percentage Anti Lift = (Percentage Front Braking)*(Side View Swing Arm Height/Side View Swing Arm Length)/(Height of CG above Road/Wheelbase of Vehicle)

Height of Centre of Gravity from Road Surface from Percentage Anti Lift

Go Height of CG above Road = ((Percentage Rear Braking)*(Side View Swing Arm Height/Side View Swing Arm Length)*Wheelbase of Vehicle)/Percentage Anti Lift

Percentage Rear Braking given Percentage Anti Lift

Go Percentage Rear Braking = Percentage Anti Lift/((Side View Swing Arm Height/Side View Swing Arm Length)/(Height of CG above Road/Wheelbase of Vehicle))

Percent Anti Squat

Go %Anti Squat = (tan(Angle between IC and Ground)/(Height of CG above Road/Wheelbase of Vehicle))*100

Angle between IC and Ground

Go Angle between IC and Ground = atan(Side View Swing Arm Height/Side View Swing Arm Length)

Front View Swing Arm

Go Front View Swing Arm = (Track Width of Vehicle/2)/(1-Roll Camber)

Camber Change Rate

Go Camber Change Rate = atan(1/Front View Swing Arm)

Roll Camber

Go Roll Camber = Camber Angle/Roll Angle

Height of Centre of Gravity from Road Surface from Percentage Anti Lift Formula

Height of CG above Road = ((Percentage Rear Braking)*(Side View Swing Arm Height/Side View Swing Arm Length)*Wheelbase of Vehicle)/Percentage Anti Lift
h = ((%B_r)*(SVSA_h/SVSA_l)*b)/%AL_r

What are the benefits of anti geometry?

Anti-geometries are being used on aero cars. This is because the angle of the underbody was very carefully designed to produce maximum downforce at the set angle. Therefore any changes in the height of the floor pan front to rear would disrupt downforce and therefore massively reduce the grip of the car. With 100% anti-geometry installed it meant that on throttle or brakes the bottom of the car would not pivot and therefore maximum aerodynamic grip was available from the car. Another reason is due to the fact that most race cars have a very low ride height and have an increased chance of bottoming out on circuit. If a car bottoms out on circuit then the suspension suddenly becomes void, the car is slowed down by the increased friction and damage can occur to the underside of the car and any underbody aero. With some anti geometry installed it provides a limiting factor to how much the car can physically dive or squat in accelerating or braking conditions making it very difficult for the car to bottom out.

What are the negatives of anti geometry?

The main drawback to anti-geometry is driver feedback. When a driver applies the brakes in a car they expect the front of the car to dip down. The more severe the dip, the harder they are on the brakes. When they apply the throttle they would also expect the back of the car to sit down slightly. The more the back sits down, the harder they are accelerating. Anti-geometry removes this sensation and provides the driver will very little dynamic feedback under these conditions leaving them feeling only the G forces from their actions. This can be difficult to drive and also difficult to anticipate reaching the limits of grip during braking and acceleration causing an unsettled car. Therefore it is often best to design some squat and some dive back into the suspension system and not run 100% anti-geometry unless the aero dynamics dictate so.

How to Calculate Height of Centre of Gravity from Road Surface from Percentage Anti Lift?

Height of Centre of Gravity from Road Surface from Percentage Anti Lift calculator uses Height of CG above Road = ((Percentage Rear Braking)*(Side View Swing Arm Height/Side View Swing Arm Length)*Wheelbase of Vehicle)/Percentage Anti Lift to calculate the Height of CG above Road, The Height of centre of gravity from road surface from percentage anti lift formula can be used to obtain the vertical distance between the centre of gravity and the road surface. Height of CG above Road is denoted by h symbol.

How to calculate Height of Centre of Gravity from Road Surface from Percentage Anti Lift using this online calculator? To use this online calculator for Height of Centre of Gravity from Road Surface from Percentage Anti Lift, enter Percentage Rear Braking (%B_r), Side View Swing Arm Height (SVSA_h), Side View Swing Arm Length (SVSA_l), Wheelbase of Vehicle (b) & Percentage Anti Lift (%AL_r) and hit the calculate button. Here is how the Height of Centre of Gravity from Road Surface from Percentage Anti Lift calculation can be explained with given input values -> 1E+7 = ((60.1)*(0.2/0.6)*1.35)/2.74.

FAQ

What is Height of Centre of Gravity from Road Surface from Percentage Anti Lift?

The Height of centre of gravity from road surface from percentage anti lift formula can be used to obtain the vertical distance between the centre of gravity and the road surface and is represented as h = ((%B_r)*(SVSA_h/SVSA_l)*b)/%AL_r or Height of CG above Road = ((Percentage Rear Braking)*(Side View Swing Arm Height/Side View Swing Arm Length)*Wheelbase of Vehicle)/Percentage Anti Lift. Percentage Rear Braking is the percentage brake distribution on to the rear brakes, Side View Swing Arm Height is the height of the Instantaneous center of swing arm as seen from side view, Side View Swing Arm Length is the horizontal distance between center point of tyre and instantaneous center of swing arm in the side view, Wheelbase of Vehicle is the center distance between the front and the rear axle of the vehicle & Percentage Anti Lift describes the amount the rear of the vehicle lifts under braking.

How to calculate Height of Centre of Gravity from Road Surface from Percentage Anti Lift?

The Height of centre of gravity from road surface from percentage anti lift formula can be used to obtain the vertical distance between the centre of gravity and the road surface is calculated using Height of CG above Road = ((Percentage Rear Braking)*(Side View Swing Arm Height/Side View Swing Arm Length)*Wheelbase of Vehicle)/Percentage Anti Lift. To calculate Height of Centre of Gravity from Road Surface from Percentage Anti Lift, you need Percentage Rear Braking (%B_r), Side View Swing Arm Height (SVSA_h), Side View Swing Arm Length (SVSA_l), Wheelbase of Vehicle (b) & Percentage Anti Lift (%AL_r). With our tool, you need to enter the respective value for Percentage Rear Braking, Side View Swing Arm Height, Side View Swing Arm Length, Wheelbase of Vehicle & Percentage Anti Lift 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 Height of CG above Road?

In this formula, Height of CG above Road uses Percentage Rear Braking, Side View Swing Arm Height, Side View Swing Arm Length, Wheelbase of Vehicle & Percentage Anti Lift. We can use 1 other way(s) to calculate the same, which is/are as follows -

Height of CG above Road = ((Percentage Front Braking)*(Side View Swing Arm Height/Side View Swing Arm Length)*Wheelbase of Vehicle)/Percentage Anti Dive Front

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