Calculator A to Z

Total Static Mass of Car given Effective Weight during Banking Calculator

Physics
Chemistry
Engineering
Financial
Health
Math
Playground
✖Effective Weight is defined as the effective weight of the car due to banking.ⓘ Effective Weight [Weff]
+10%
-10%
✖Cornering Velocity is the velocity of the vehicle during cornering.ⓘ Cornering Velocity [V]
+10%
-10%
✖Corner Radius is the radius of the cornering circle.ⓘ Corner Radius [R]
+10%
-10%
✖Bank Angle is the angle between the lift vector and the vertical during a level turn of the aircraft.ⓘ Bank Angle [Φ]
+10%
-10%
✖Mass of Vehicle is the total mass of the vehicle.ⓘ Total Static Mass of Car given Effective Weight during Banking [m]
⎘ Copy
👎
Formula
✖

Total Static Mass of Car given Effective Weight during Banking

Formula
`"m" = "W"_{"eff"}/(("V"^2)/("R"*"[g]")*(sin("Φ")+cos("Φ")))`

Example
`"73.05455kg"="200kg"/((("16m/s")^2)/("10m"*"[g]")*(sin("0.05rad")+cos("0.05rad")))`

Calculator
LaTeX
Reset
👍

Total Static Mass of Car given Effective Weight during Banking Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass of Vehicle = Effective Weight/((Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle)))
m = Weff/((V^2)/(R*[g])*(sin(Φ)+cos(Φ)))
This formula uses 1 Constants, 2 Functions, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Mass of Vehicle - (Measured in Kilogram) - Mass of Vehicle is the total mass of the vehicle.
Effective Weight - (Measured in Kilogram) - Effective Weight is defined as the effective weight of the car due to banking.
Cornering Velocity - (Measured in Meter per Second) - Cornering Velocity is the velocity of the vehicle during cornering.
Corner Radius - (Measured in Meter) - Corner Radius is the radius of the cornering circle.
Bank Angle - (Measured in Radian) - Bank Angle is the angle between the lift vector and the vertical during a level turn of the aircraft.
STEP 1: Convert Input(s) to Base Unit
Effective Weight: 200 Kilogram --> 200 Kilogram No Conversion Required
Cornering Velocity: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Corner Radius: 10 Meter --> 10 Meter No Conversion Required
Bank Angle: 0.05 Radian --> 0.05 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = Weff/((V^2)/(R*[g])*(sin(Φ)+cos(Φ))) --> 200/((16^2)/(10*[g])*(sin(0.05)+cos(0.05)))
Evaluating ... ...
m = 73.0545467284409
STEP 3: Convert Result to Output's Unit
73.0545467284409 Kilogram --> No Conversion Required
FINAL ANSWER
73.0545467284409 ≈ 73.05455 Kilogram <-- Mass of Vehicle
(Calculation completed in 00.004 seconds)
You are here -
Home » Physics » Automobile » Race Car Vehicle Dynamics » Vehicle Cornering in Race Cars » Total Static Mass of Car given Effective Weight during Banking

Credits

Created by Peri Krishna Karthik
National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala
Peri Krishna Karthik has created this Calculator and 200+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

12 Vehicle Cornering in Race Cars Calculators

Cornering Velocity given Effective Weight of Car due to Banking
Go Cornering Velocity = sqrt((Effective Weight/Mass of Vehicle-cos(Bank Angle))*(Corner Radius*[g])/sin(Bank Angle))
Total Static Mass of Car given Effective Weight during Banking
Go Mass of Vehicle = Effective Weight/((Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle)))
Corner Radius given Effective Weight of Car due to Banking
Go Corner Radius = (sin(Bank Angle)*Cornering Velocity^2)/((Effective Weight/Mass of Vehicle-cos(Bank Angle))*[g])
Effective Weight of Car due to Banking
Go Effective Weight = (Mass of Vehicle*Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle))
Centre of Gravity Distance to Roll Axis given Roll Gradient
Go Centre of Gravity Distance to Roll Axis = -(Roll Gradient/(Mass of Vehicle*[g]/(Front Roll Rate+Rear Roll Rate)))
Total Vehicle Mass given Roll Gradient
Go Mass of Vehicle = -(Roll Gradient/([g]*Centre of Gravity Distance to Roll Axis/(Front Roll Rate+Rear Roll Rate)))
Roll Gradient
Go Roll Gradient = -Mass of Vehicle*[g]*Centre of Gravity Distance to Roll Axis/(Front Roll Rate+Rear Roll Rate)
Front Roll Rate given Roll Gradient
Go Front Roll Rate = -Mass of Vehicle*[g]*Centre of Gravity Distance to Roll Axis/Roll Gradient-Rear Roll Rate
Rear Roll Rate given Roll Gradient
Go Rear Roll Rate = -Mass of Vehicle*[g]*Centre of Gravity Distance to Roll Axis/Roll Gradient-Front Roll Rate
Cornering Velocity given Horizontal Lateral Acceleration
Go Cornering Velocity = sqrt(Horizontal Lateral Acceleration*Corner Radius)
Corner Radius given Horizontal Lateral Acceleration
Go Corner Radius = (Cornering Velocity^2)/(Horizontal Lateral Acceleration)
Horizontal Lateral Acceleration
Go Horizontal Lateral Acceleration = (Cornering Velocity^2)/(Corner Radius)

Total Static Mass of Car given Effective Weight during Banking Formula

Mass of Vehicle = Effective Weight/((Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle)))
m = Weff/((V^2)/(R*[g])*(sin(Φ)+cos(Φ)))

What are the factors affecting the angle of banking?

The angle of banking depends on the speed of the vehicle, the radius of the curved road and the acceleration due to gravity at that place. The angle of banking is independent of mass of the vehicle. Thus the angle of banking is the same for heavy and light vehicles. The angle of banking depends on the radius of the curved road. The angle of banking is inversely proportional to the radius of curvature. For the given radius of the curve, the angle of banking increases with the speed. For the given radius of the curve and speed of the vehicle angle of banking is inversely proportional to the acceleration due to gravity at that place. The acceleration due to gravity is more on the pole than that at the equator. Thus for the given radius of the curve and speed of the vehicle angle of banking is less at the pole than that at the equator.

How to Calculate Total Static Mass of Car given Effective Weight during Banking?

Total Static Mass of Car given Effective Weight during Banking calculator uses Mass of Vehicle = Effective Weight/((Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle))) to calculate the Mass of Vehicle, The Total static mass of car given effective weight during banking formula is used to find the mass of the car in static position when the weight of the car experienced during the cornering of the vehicle on a banked road is known. Mass of Vehicle is denoted by m symbol.

How to calculate Total Static Mass of Car given Effective Weight during Banking using this online calculator? To use this online calculator for Total Static Mass of Car given Effective Weight during Banking, enter Effective Weight (Weff), Cornering Velocity (V), Corner Radius (R) & Bank Angle (Φ) and hit the calculate button. Here is how the Total Static Mass of Car given Effective Weight during Banking calculation can be explained with given input values -> 73.05455 = 200/((16^2)/(10*[g])*(sin(0.05)+cos(0.05))).

FAQ

What is Total Static Mass of Car given Effective Weight during Banking?
The Total static mass of car given effective weight during banking formula is used to find the mass of the car in static position when the weight of the car experienced during the cornering of the vehicle on a banked road is known and is represented as m = Weff/((V^2)/(R*[g])*(sin(Φ)+cos(Φ))) or Mass of Vehicle = Effective Weight/((Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle))). Effective Weight is defined as the effective weight of the car due to banking, Cornering Velocity is the velocity of the vehicle during cornering, Corner Radius is the radius of the cornering circle & Bank Angle is the angle between the lift vector and the vertical during a level turn of the aircraft.
How to calculate Total Static Mass of Car given Effective Weight during Banking?
The Total static mass of car given effective weight during banking formula is used to find the mass of the car in static position when the weight of the car experienced during the cornering of the vehicle on a banked road is known is calculated using Mass of Vehicle = Effective Weight/((Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle))). To calculate Total Static Mass of Car given Effective Weight during Banking, you need Effective Weight (Weff), Cornering Velocity (V), Corner Radius (R) & Bank Angle (Φ). With our tool, you need to enter the respective value for Effective Weight, Cornering Velocity, Corner Radius & Bank Angle 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 Mass of Vehicle?
In this formula, Mass of Vehicle uses Effective Weight, Cornering Velocity, Corner Radius & Bank Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mass of Vehicle = -(Roll Gradient/([g]*Centre of Gravity Distance to Roll Axis/(Front Roll Rate+Rear Roll Rate)))
About | Contact | Disclaimer | Terms | Privacy Policy
© 2016-2024 A softusvista inc. venture!



Home
FREE PDFs
🔍 Search

Categories

Share
Let Others Know
✖
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!