Aerodynamic Drag Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area
Fdrag = Cdrag*((ρ*Vf^2)/2)*Aref
This formula uses 5 Variables
Variables Used
Drag Force - (Measured in Newton) - Drag Force is the aerodynamic force that opposes an aircraft's motion through the air. Drag is generated by every part of the airplane.
Drag Coefficient - Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
Mass Density - (Measured in Kilogram per Cubic Meter) - Mass density is a representation of the amount of mass (or the number of particles) of a substance, material or object in relation to the space.
Flow Velocity - (Measured in Meter per Second) - Flow velocity is the vector field that is used to describe fluid motion in a mathematical manner. The entire length of the flow velocity is referred to as the flow speed.
Reference Area - (Measured in Square Meter) - The reference area A is typically the cross-sectional or frontal area of the object, but may also be the surface area (wetted area) or other representative area describing the object.
STEP 1: Convert Input(s) to Base Unit
Drag Coefficient: 1.39 --> No Conversion Required
Mass Density: 98 Kilogram per Cubic Meter --> 98 Kilogram per Cubic Meter No Conversion Required
Flow Velocity: 6.4 Kilometer per Hour --> 1.77777777777778 Meter per Second (Check conversion here)
Reference Area: 5.07 Square Meter --> 5.07 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fdrag = Cdrag*((ρ*Vf^2)/2)*Aref --> 1.39*((98*1.77777777777778^2)/2)*5.07
Evaluating ... ...
Fdrag = 1091.37445925926
STEP 3: Convert Result to Output's Unit
1091.37445925926 Newton --> No Conversion Required
FINAL ANSWER
1091.37445925926 1091.374 Newton <-- Drag Force
(Calculation completed in 00.004 seconds)

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National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala
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13 Mechanics of Train Movement Calculators

Translational Speed of Wheel Center
Go Translational Speed = (pi*Effective Radius of Wheel*Speed of Motor Shaft in Powerplant)/(30*Gear Ratio of Transmission*Gear Ratio of Final Drive)
Wheel Force Function
Go Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)
Rotating Speed of Driven Wheel
Go Rotating Speed of Driven Wheels = (Speed of Motor Shaft in Powerplant)/(Gear Ratio of Transmission*Gear Ratio of Final Drive)
Aerodynamic Drag Force
Go Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area
Schedule Speed
Go Schedule Speed = Distance Travelled by Train/(Running Time of Train+Stop Time of Train)
Crest Speed given Time for Acceleration
Go Crest Speed = Time for Acceleration*Acceleration of Train
Coefficient of Adhesion
Go Coefficient of Adhesion = Tractive Effort/Weight of Train
Time for Acceleration
Go Time for Acceleration = Crest Speed/Acceleration of Train
Schedule Time
Go Schedule Time = Running Time of Train+Stop Time of Train
Retardation of Train
Go Retardation of Train = Crest Speed/Time for Retardation
Time for Retardation
Go Time for Retardation = Crest Speed/Retardation of Train
Gradient of Train for Proper Movement of Traffic
Go Gradient = sin(Angle D)*100
Accelerating Weight of Train
Go Accelerating Weight of Train = Weight of Train*1.10

15 Electric Train Physics Calculators

Torque of Squirrel Cage Induction Motor
Go Torque = (Constant*Voltage^2*Rotor Resistance) /((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)
Torque Generated by Scherbius Drive
Go Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))
Wheel Force Function
Go Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)
Rotating Speed of Driven Wheel
Go Rotating Speed of Driven Wheels = (Speed of Motor Shaft in Powerplant)/(Gear Ratio of Transmission*Gear Ratio of Final Drive)
Aerodynamic Drag Force
Go Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area
Schedule Speed
Go Schedule Speed = Distance Travelled by Train/(Running Time of Train+Stop Time of Train)
Energy Consumption for Run
Go Energy Consumption for Run = 0.5*Tractive Effort*Crest Speed*Time for Acceleration
Crest Speed given Time for Acceleration
Go Crest Speed = Time for Acceleration*Acceleration of Train
Maximum Power Output from Driving Axle
Go Maximum Output Power = (Tractive Effort*Crest Speed)/3600
Coefficient of Adhesion
Go Coefficient of Adhesion = Tractive Effort/Weight of Train
Time for Acceleration
Go Time for Acceleration = Crest Speed/Acceleration of Train
Schedule Time
Go Schedule Time = Running Time of Train+Stop Time of Train
Retardation of Train
Go Retardation of Train = Crest Speed/Time for Retardation
Time for Retardation
Go Time for Retardation = Crest Speed/Retardation of Train
Accelerating Weight of Train
Go Accelerating Weight of Train = Weight of Train*1.10

Aerodynamic Drag Force Formula

Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area
Fdrag = Cdrag*((ρ*Vf^2)/2)*Aref

What is Aerodynamic Drag ?

Aerodynamic Drag is a force which the oncoming air applies on a moving body. It is the resistance offered by the air to the movement of the body. So, when a car is moving; it displaces the air. However, it affects the car’s speed and performance. Technically, it is the aerodynamic drag or the friction offered by the air to a vehicle.

How to Calculate Aerodynamic Drag Force?

Aerodynamic Drag Force calculator uses Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area to calculate the Drag Force, The aerodynamic drag force equation states that drag force is equal to the drag coefficient times the mass density times half of the flow velocity squared times the reference area. Drag Force is denoted by Fdrag symbol.

How to calculate Aerodynamic Drag Force using this online calculator? To use this online calculator for Aerodynamic Drag Force, enter Drag Coefficient (Cdrag), Mass Density (ρ), Flow Velocity (Vf) & Reference Area (Aref) and hit the calculate button. Here is how the Aerodynamic Drag Force calculation can be explained with given input values -> 1091.374 = 1.39*((98*1.77777777777778^2)/2)*5.07.

FAQ

What is Aerodynamic Drag Force?
The aerodynamic drag force equation states that drag force is equal to the drag coefficient times the mass density times half of the flow velocity squared times the reference area and is represented as Fdrag = Cdrag*((ρ*Vf^2)/2)*Aref or Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area. Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water, Mass density is a representation of the amount of mass (or the number of particles) of a substance, material or object in relation to the space, Flow velocity is the vector field that is used to describe fluid motion in a mathematical manner. The entire length of the flow velocity is referred to as the flow speed & The reference area A is typically the cross-sectional or frontal area of the object, but may also be the surface area (wetted area) or other representative area describing the object.
How to calculate Aerodynamic Drag Force?
The aerodynamic drag force equation states that drag force is equal to the drag coefficient times the mass density times half of the flow velocity squared times the reference area is calculated using Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area. To calculate Aerodynamic Drag Force, you need Drag Coefficient (Cdrag), Mass Density (ρ), Flow Velocity (Vf) & Reference Area (Aref). With our tool, you need to enter the respective value for Drag Coefficient, Mass Density, Flow Velocity & Reference Area 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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