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

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To calculate the linear speed of a car based on tire rotation, the formula used is v = r(w), where r is the tire radius and w is the angular speed in radians per second. The tire radius is given as 0.330 m, and the angular speed is 17.4 revolutions per second. The circumference of the tire is essential for determining the distance traveled per revolution, which is calculated as 2πr. The discussion highlights the importance of ensuring consistent units when applying the formula. Ultimately, the correct calculation leads to the linear speed of the car based on the tire's rotation.
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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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