Caculating linear speed of a vehicle

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Homework Help Overview

The discussion revolves around calculating the linear speed of a vehicle based on the diameter of its wheels and their rotational speed. The original poster presents a specific problem involving a wheel diameter of 1.075 meters and a rotation rate of 300 revolutions per minute (rev/min).

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss various formulas for relating wheel diameter and rotational speed to linear speed. There is an exploration of the relationship between angular frequency and tangential velocity. Some participants express uncertainty about the correct formula, while others share their calculations and results.

Discussion Status

The discussion is ongoing, with participants sharing their calculations and questioning the accuracy of their results. Some guidance regarding significant figures is mentioned, and there is a comparison of answers derived from different sources, indicating a productive exchange of ideas.

Contextual Notes

There are references to discrepancies between participants' calculations and those provided in a textbook, raising questions about the definitions and relationships between linear speed and other speed measures. The discussion also highlights potential confusion regarding the application of formulas in different contexts.

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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