Caculating linear speed of a vehicle

AI Thread Summary
To calculate the linear speed of a vehicle based on wheel diameter and rotation speed, the formula used is diameter (in meters) multiplied by π, then multiplied by revolutions per minute (rev/min), and finally adjusted to convert to kilometers per hour. For a wheel diameter of 1.075 meters rotating at 300 rev/min, the calculated speed is approximately 60.79 km/h, though this was initially deemed incorrect. A discussion participant confirmed that significant figures might affect the results when entering answers in systems like WebAssign. Another example from a textbook calculated a linear speed of 63.36 km/h for wheels with a diameter of 600 mm at 560 rev/min, while a participant's calculation was slightly different at 63.3345079 km/h. The conversation highlights the importance of precision and understanding the relationship between linear speed and wheel rotation.
dan_bighit
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i need a formula for caculating linear speed of a vehicle.

the question is

wheel diameter 1.075 metres

what is the linear speed of the vehicle when the wheel is rotating at 300 rev/min?

thanks dan
 
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Do you know any expressions for relating angular frequency to tangential velocity?
 
no don't what that is, but i do know what angular velocity and angular acceleration is.

i thought linear speed was diameter(metres) x pie x rev/min x 60 / 1000 would give you the speed in km/h

which would give the answer 60.79 km/h

but turns out its wrong.
 
dan_bighit said:
no don't what that is, but i do know what angular velocity and angular acceleration is.

i thought linear speed was diameter(metres) x pie x rev/min x 60 / 1000 would give you the speed in km/h

which would give the answer 60.79 km/h

but turns out its wrong.
Your answer looks good to me. If your entering your answers on webassign, beware of the number of significant figures you include.
 
the book I am reading must be wrong then, is linear speed just the same as speed then
 
dan_bighit said:
the book I am reading must be wrong then, is linear speed just the same as speed then
Yes, just out of interest, what speed does your book return?
 
this is the question out of the book

the road wheels of a vechile are 600mm in diameter caculate the linear speed of the vechile in km/h if the wheels rotate at 560 rev/min?

answer form book 63.36km/h

my answer 63.3345079 which rounded up is 63.34

i know its only 0.02 out but still that why i wasent sure
 
I agree with your answer.
 
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