How Do You Calculate the Linear Speed of a Car Based on Tire Rotation?

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Homework Help Overview

The discussion revolves around calculating the linear speed of a car based on the rotation of its tires, specifically focusing on the relationship between angular speed and linear speed. The problem involves a tire radius and its angular velocity.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between angular speed and linear speed, questioning the correctness of the original poster's calculations and the units used. There are inquiries about the tire's circumference and how it relates to the distance traveled by the car.

Discussion Status

Some participants have provided guidance on understanding the relationship between tire rotation and distance traveled, while others are exploring the implications of the tire's revolutions on the car's speed. Multiple interpretations of the problem are being discussed, but there is no explicit consensus on the correct approach yet.

Contextual Notes

The original poster's calculations appear to be based on a misunderstanding of the relationship between angular and linear speed, and there is an emphasis on ensuring unit consistency in the equations used.

JaKaL
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1. Each tire on a car has a radius of 0.330 m and is rotating with an angular speed of 17.4 revolutions/s. Find the linear speed v of the car, assuming that the tires are not slipping against the ground.



2. Vr = r(w)



3. 17.4 * .33= 5.742m/s or 17.4*.66=11.484m/s neither worked so I am at a loss
 
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What's the circumference of the tire?
 
Look carefully at the left and right side of your second equation. Are the units the same for both sides?
 
If the tire makes 1 revolution, the car has traveled for a distance corresponds to 1 revolution.
If the tire makes 2 revolution, the car has traveled for a distance corresponds to 2 revolutions.
If the tire 17.4 revolutions in 1 second, what is the distance traveled? How much time is needed? What is the speed of the car?
 
thanks that was loads of help i used 2(pie or 3.142).33/ 17.4
 

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