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Calculating Wheel Speed: A Formula for Determining Vehicle Speed - Prof. Robert R. Cross, Assignments of Automobile Engineering

The procedure for calculating wheel speed using engine speed, gear ratios, tire diameter, and axle ratios. The process involves determining the overall gear ratio, wheel revolutions per minute, wheel circumference, and wheel revolutions per mile to obtain the wheel speed in miles per hour.

Typology: Assignments

Pre 2010

Uploaded on 08/09/2009

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๎˜ƒ
1๎˜ƒ
๎˜ƒ
Name:๎˜ƒ_____________________๎˜ƒ
DTEC๎˜ƒ105๎˜ƒ
Calculating๎˜ƒWheel๎˜ƒSpeed๎˜ƒ
๎˜ƒ
If๎˜ƒyou๎˜ƒknow๎˜ƒthe๎˜ƒengine๎˜ƒspeed,๎˜ƒgear๎˜ƒratios๎˜ƒfor๎˜ƒthe๎˜ƒtransmission,๎˜ƒtransfer๎˜ƒcase๎˜ƒratio๎˜ƒ(if๎˜ƒapplicable),๎˜ƒrear๎˜ƒ
end๎˜ƒratio๎˜ƒand๎˜ƒthe๎˜ƒdiameter๎˜ƒof๎˜ƒthe๎˜ƒtires๎˜ƒit๎˜ƒis๎˜ƒpossible๎˜ƒto๎˜ƒcalculate๎˜ƒhow๎˜ƒfast๎˜ƒthe๎˜ƒvehicle๎˜ƒwill๎˜ƒtravel.๎˜ƒ๎˜ƒThis๎˜ƒcan๎˜ƒ
be๎˜ƒuseful๎˜ƒin๎˜ƒa๎˜ƒvariety๎˜ƒof๎˜ƒways๎˜ƒincluding๎˜ƒknowing๎˜ƒwhat๎˜ƒspeed๎˜ƒa๎˜ƒvehicle๎˜ƒwill๎˜ƒgo๎˜ƒif๎˜ƒyou๎˜ƒare๎˜ƒchanging๎˜ƒtire๎˜ƒ
sizes,๎˜ƒtransmissions,๎˜ƒor๎˜ƒrear๎˜ƒend๎˜ƒratios.๎˜ƒ๎˜ƒWith๎˜ƒsome๎˜ƒadditional๎˜ƒcalculations,๎˜ƒwhich๎˜ƒwe๎˜ƒwill๎˜ƒcover๎˜ƒlater,๎˜ƒit๎˜ƒis๎˜ƒ
also๎˜ƒpossible๎˜ƒto๎˜ƒdetermine๎˜ƒthe๎˜ƒright๎˜ƒcombination๎˜ƒof๎˜ƒengine๎˜ƒand๎˜ƒdrive๎˜ƒline๎˜ƒcomponents๎˜ƒto๎˜ƒsee๎˜ƒif๎˜ƒa๎˜ƒtruck๎˜ƒ
will๎˜ƒperform๎˜ƒup๎˜ƒto๎˜ƒexpectations.๎˜ƒ๎˜ƒ๎˜ƒ
For๎˜ƒthe๎˜ƒpurpose๎˜ƒof๎˜ƒthis๎˜ƒexercise๎˜ƒa๎˜ƒ2๎˜ƒwheel๎˜ƒdrive๎˜ƒgasoline๎˜ƒpickโ€up๎˜ƒtruck๎˜ƒwill๎˜ƒbe๎˜ƒused๎˜ƒwith๎˜ƒthe๎˜ƒfollowing๎˜ƒ
specifications:๎˜ƒ
โ€ข Engine๎˜ƒis๎˜ƒturning๎˜ƒat๎˜ƒ3750๎˜ƒrpm๎˜ƒ
โ€ข Transmission๎˜ƒLow๎˜ƒGear๎˜ƒRatio:๎˜ƒ๎˜ƒ6.23:1๎˜ƒ
โ€ข Rear๎˜ƒaxle๎˜ƒratio:๎˜ƒ๎˜ƒ3.73:1๎˜ƒ
โ€ข Tires๎˜ƒare๎˜ƒLT265/75R16๎˜ƒand๎˜ƒhave๎˜ƒan๎˜ƒoverall๎˜ƒdiameter๎˜ƒof๎˜ƒ31๎˜ƒinches๎˜ƒ
๎˜ƒ
Procedure๎˜ƒfor๎˜ƒcalculating๎˜ƒwheel๎˜ƒspeed.๎˜ƒ
1. Calculate๎˜ƒthe๎˜ƒgear๎˜ƒratio:๎˜ƒ๎˜ƒ๎˜ƒ
a. Multiply๎˜ƒall๎˜ƒof๎˜ƒthe๎˜ƒratios๎˜ƒfrom๎˜ƒthe๎˜ƒtransmission๎˜ƒto๎˜ƒthe๎˜ƒwheel๎˜ƒends.๎˜ƒ(if๎˜ƒthe๎˜ƒvehicle๎˜ƒhas๎˜ƒa๎˜ƒ
transfer๎˜ƒcase๎˜ƒand/or๎˜ƒfinal๎˜ƒdrives๎˜ƒthose๎˜ƒratios๎˜ƒmust๎˜ƒbe๎˜ƒincluded๎˜ƒtoo.)๎˜ƒ
๎˜ƒ
Overall๎˜ƒratio๎˜ƒ=๎˜ƒ๎˜ƒtransmission๎˜ƒratio๎˜ƒX๎˜ƒrear๎˜ƒaxle๎˜ƒratio๎˜ƒ
Overall๎˜ƒratio๎˜ƒ=๎˜ƒ6.23๎˜ƒX๎˜ƒ3.73๎˜ƒ=๎˜ƒ23.24๎˜ƒ๎˜ƒ๎˜ƒ๎˜ƒor๎˜ƒ๎˜ƒ๎˜ƒ๎˜ƒ๎˜ƒ23.24:1๎˜ƒ
๎˜ƒ
2. Calculate๎˜ƒthe๎˜ƒrevolutions๎˜ƒat๎˜ƒthe๎˜ƒwheel๎˜ƒends๎˜ƒin๎˜ƒrevolutions๎˜ƒper๎˜ƒminute๎˜ƒ(rpm)๎˜ƒ
๎˜ƒ
Wheel๎˜ƒrpm๎˜ƒ=๎˜ƒengine๎˜ƒspeed/overall๎˜ƒratio๎˜ƒ
Wheel๎˜ƒrpm๎˜ƒ=๎˜ƒ3750๎˜ƒrpm/23.24๎˜ƒ=๎˜ƒ161.37๎˜ƒrpm๎˜ƒ๎˜ƒ๎˜ƒ
๎˜ƒ
3. Calculate๎˜ƒhow๎˜ƒmany๎˜ƒtimes๎˜ƒthe๎˜ƒwheel๎˜ƒrotates๎˜ƒin๎˜ƒand๎˜ƒhour๎˜ƒ(rev/hr)๎˜ƒ
๎˜ƒ
Rev/hr๎˜ƒ=๎˜ƒwheel๎˜ƒrpm๎˜ƒ*๎˜ƒ60๎˜ƒ
Rev/hr๎˜ƒ=๎˜ƒ161.37๎˜ƒX๎˜ƒ60๎˜ƒ=๎˜ƒ9682.46๎˜ƒrev/hr๎˜ƒ
๎˜ƒ
๎˜ƒ
๎˜ƒ
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Download Calculating Wheel Speed: A Formula for Determining Vehicle Speed - Prof. Robert R. Cross and more Assignments Automobile Engineering in PDF only on Docsity!

Name: _____________________

DTEC 105

Calculating Wheel Speed

If you know the engine speed, gear ratios for the transmission, transfer case ratio (if applicable), rear end ratio and the diameter of the tires it is possible to calculate how fast the vehicle will travel. This can be useful in a variety of ways including knowing what speed a vehicle will go if you are changing tire sizes, transmissions, or rear end ratios. With some additional calculations, which we will cover later, it is also possible to determine the right combination of engine and drive line components to see if a truck will perform up to expectations. For the purpose of this exercise a 2 wheel drive gasoline pickโ€up truck will be used with the following specifications:

  • Engine is turning at 3750 rpm
  • Transmission Low Gear Ratio: 6.23:
  • Rear axle ratio: 3.73:
  • Tires are LT265/75R16 and have an overall diameter of 31 inches Procedure for calculating wheel speed.
  1. Calculate the gear ratio: a. Multiply all of the ratios from the transmission to the wheel ends. (if the vehicle has a transfer case and/or final drives those ratios must be included too.) Overall ratio = transmission ratio X rear axle ratio Overall ratio = 6.23 X 3.73 = 23.24 or 23.24:
  2. Calculate the revolutions at the wheel ends in revolutions per minute (rpm) Wheel rpm = engine speed/overall ratio Wheel rpm = 3750 rpm/23.24 = 161.37 rpm
  3. Calculate how many times the wheel rotates in and hour (rev/hr) Rev/hr = wheel rpm * 60 Rev/hr = 161.37 X 60 = 9682.46 rev/hr
  1. Calculate the wheel circumference in feet Circumference = diameter X PI Circumference = 31 inches X 3.14159 = 97.40 inches Circumference in feet = circumference in inches/ Circumference in feet = 97.40 inches/12 = 8.12 feet
  2. Calculate how many times the wheels turn in one mile (rev/mi) Rev/mi = 5280/circumference Rev/mi = 5280/8.12 feet = 650.49 rev/mi
  3. Calculate the wheel speed (mph) Wheel Speed = (rev/hr)/(rev/mi) Wheel Speed = (9682.46 rev/hr)/(650.49 rev/mi)= 14.88 mph