About

MotorMatchup is the ultimate car specifications website that provides 0-60 times, 1/4 mile times, comparisons and performance simulations. Our goal is to provide high quality automotive data to casual consumers and car enthusiasts alike. When journalists test vehicle performance for 0-60 times and quarter mile times, there are many factors involved (Driver, road surface, weather, etc). The simulated performance provides reliable results that consumers can count on. For comprehensive explanations on how our simulation works, you can read about it below. All car data is manually aggregated from manufacturers and various high-quality online resources. If you see any inaccuracies, have questions, or want to get in touch, please don't hesitate to reach out.

Index

Features

  • View car specifications.
  • Compare up to 3 vehicles side-by-side.
  • See simulated 0-60, 1/4 mile, and other performance metrics.
  • Setup drag race with up to 3 vehicles and custom parameters.
  • Add modifications to vehicles and see how performance is affected.
  • Mod support for power, torque curve, weight saving, and wheels/tires.

Limitations

Public vehicle data can be somewhat limited. Take drag coefficient or transmission shift time as an example. Some manufactuers may release these metrics or keep them private. For unavailable metrics, they are estimated by our parameter prediction software. The methodology for datapoint estimation is explained in detail below.

Data

Below is a comprehensive list of all datapoints we maintain:
Engine
Data PointDescription
HorsepowerPeak horsepower
TorquePeak Torque (ft-lbs)
Peak Power RPMRPM which peak power occurs
Peak Torque RPMRPM which peak torque occurs
Type/ArrangementMotor type and arrangement (e.g "V-8")
Forced InductionDesignates if engine is supercharged or turbocharged
No. of cylindersNumber of cylinders in a piston engine
DisplacementDisplacement of engine (liters)
BoreBore of cyclinder (millimeters)
StrokeStroke of cyclinder (millimeters)
No. of valvesNumber of valves
ValvetrainValvetrain description (e.g "DOHC")
Compression RatioCompression ratio
Battery CapacityBattery capacity in kWh for Hybrids and EVs
Transmission/Drivetrain
Data PointDescription
Transmission TypeType of transmission (e.g "Automatic")
Transmission Sub-typeDetailed type of transmission for automatics (e.g "CVT")
No. of GearsNumber of gears
Gear RatiosList of gear ratios for each gear
Axle ratioFinal Drive/Axle ratio
General
Data PointDescription
Curb WeightVehicle equipped weight w/o occupants (pounds)
Body DimensionsDimensions of body: length|width|height (inches)
WheelbaseDistance between wheels along length axis (inches)
TrackDistance between wheels along width axis (inches)
Ground clearanceHeight between ground and lowest point on body (inches)
Font Tire SizeFront tire descriptor (e.g "P245/35YR19")
Rear Tire SizeRear tire descriptor (e.g "P305/30YR20")
Tire compoundCategory of tire (e.g "Summer performance")
Fuel Tank CapacityFuel tank capacity (gallons)
Highway MPGAdvertised highway MPG
City MPGAdvertised city MPG
Combined MPGAdvertised combined MPG

Simulation

The MotorMatchup performance simulation uses the data points above to produce a consistent and accurate model. For missing data points, our simulation estimates the value by looking at similar vehicles as well as other factors. This allows the simulation to be robust for a wide variety of cars, even with missing data points. The models have been tested and calibrated against real world results. Below each sub-system is described in detail.

Torque Curves

Internal Combustion Engines

For internal combustion engines, torque curves are derived in 3 steps:
  1. Start plotting initial torque curve. The first point is peak horsepower where
    torque=horsepower5252/rpmtorque = horsepower * 5252 / rpm
  2. Plot 2 more points: torque at idle rpm and torque at peak torque rpm.
  3. Use polynomial regression to generate a torque curve function f where
    torque=f(rpm)torque = f(rpm)
This torque curve function is used for all simulations and it's corresponding horsepower curve can be easily derived from it.

Electric Motors

EV drivetrains have more variability. For example number of motors, torque drop off, "redline" RPM, etc. This makes it very difficult to predict torque curves accurately, so our EV torque curves are based on real world dynamometer test data. Because of this, you may notice that some EVs are not supported by the simulation due to unavailable real world data. Note that for futuristic cars where dyno data does not exist yet, some assumptions are made by looking at current vehicle dyno data.

Engine Torque vs. Wheel Torque

Whether it's based on real-world dynometer data or estimated, our simulation software defines a torque curve for all vehicles. Torque curves are the foundation of the simulation and used to calculate wheel torque from torque at the motor. In order to convert motor torque to wheel torque, the following equation is used:
τwheel=(τmotorratiogearratioaxlelossdrivetrain)/radiustireτ_{wheel} = (τ_{motor} * ratio_{gear} * ratio_{axle} * loss_{drivetrain}) / radius_{tire}

ratiogearratio_{gear} - Gear ratio of the current gear.
ratioaxleratio_{axle} - Final drive or axle ratio.
lossdrivetrainloss_{drivetrain} - Drivetrain efficiency - (e.g 85% for RWD with Manual Transmission)
radiustireradius_{tire} - Dynamic radius of the tire calculated by taking 99% of the resting radius.
Note that this works for vehicles without transmission (e.g Tesla). The gear ratio will be a static value = 1 and drivetrain efficiency (lossdrivetrainloss_{drivetrain}) will be much higher. Also, some cars have variable final drive ratios (e.g Ford Focus RS) which are supported.

Drivetrain Loss

Drivetrain loss is variable based on many factors. To keep it simple we use the following drivetrain loss values:
DrivetrainEfficieny
Front-wheel Drive88% (12% loss)
Rear-wheel Drive85% (15% loss)
All-wheel Drive82% (18% loss)
No transmission (EV)95% (5% loss)

Transmission

Shift Time

Shift time is not published by most manufacturers so we estimate this value if it's not known. Here are the parameters we look at:
  1. Transmission Type: ("Automatic" or "Manual")
  2. Sub-type: ("DCT", "CVT", etc)
  3. Holistic parameters (Year, make, and model) which are compared to similar vehicles with known shift times
Shift times for automatic transmissions may be as low as 20ms for a fast dual-clutch transmission like a Porsche PDK and may exceed 500ms for older automatics.The simulation does not support CVT transmissions at the moment as they are difficult to accurately model.

Chassis / Body

Detailed explanations coming soon.

Aerodynamics

Drag Force

Calculated using the formula  Fd=0.5CdAρv2F_d = 0.5 * C_d * A * ρ * {v}^2
Drag Coefficient (CdC_d) is published for about half of vehicles. For unknown values, CdC_d is estimated by finding the most similar vehicle with a known drag coefficienct. We use make, model, year, and body style to find the most similar vehicle.
Frontal Area (AA) is calculated using a simple formula: A=0.85widthheightA = 0.85 * width * height

Down Force

For most vehicles, downforce is not known so it's not taken into account. However, we do have downforce data for various manufactuers like Koenigsegg. For these few vehicles, it is incorporated into the simulation and will show in higher speed acceleration results.

Wheels and Tires

Wheels and tires are arguably the most important part in determining a vehicle's performance. There are various components to the model that are described in depth below.

Tire Compound

Tire friction is an essential component to car simulations, but it is very difficult to model. In order to support a wide variety of vehicles, we have generalized the tire coefficeint of friction based on tire compound.
Tire CompoundBase Coefficient of Friction
Drag Radial1.50
Race Compound1.15
Summer Performance1.075
Performance All-season1.0
All-season0.97
All-terrains0.80

Conditions

Right now the simulation is based on optimal road conditions. Variable conditions are not yet supported. Explanations coming soon.

Special Vehicles

Tesla Roadster (SpaceX Package)

The Tesla Roadster is supposed to come out in 2022 or 2023 with over a 600 mile range and a 200kWh battery pack. There have been various rumors and hints of an optional "SpaceX Package" which will add cold-air gas thrusters to the vehicle. The car will have a composite overwrapped pressure vessel (COPV) onboard which will store compressed air. There will be various thrusters mounted around the car and some of those will face backwards. These rear-facing thrusters can be used to add extra thrust and overcome the frictional limits of tires. Our software is able to simulate the added acceleration from these thrusters and this how we calculate it:
Fthrust=(Isp)(g)(mvehicle)F_{thrust} = (I_{sp})(g)(m_{vehicle})
where
Isp=70sI_{sp} = 70s (Estimated Specific Impulse)
g=9.806m/s2g = 9.806 m/s^2 (Gravitational Constant)
mvehiclem_{vehicle} (Estimated Vehicle Curb Weight)
The acceleration of the car is then calculated as:
avehicle=(Fthrust+Ftire)/mvehiclea_{vehicle} = (F_{thrust} + F_{tire}) / m_{vehicle}
where
FthrustF_{thrust} (Force of Thruster)
FtireF_{tire} (Estimated Tire Force)
The simulation lets you change the curb weight, COPV capacity, max rear-facing thrust, and the firing delay.
Try it out here!