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

In summary, we are given the radius of each tire on a car and its angular speed. We need to find the linear speed of the car, assuming there is no slipping against the ground. Using the formula Vr = r(w), we can calculate the linear speed by multiplying the angular speed by the radius. However, we must make sure that the units are consistent on both sides of the equation. The tire makes 17.4 revolutions in 1 second, so the car travels a distance corresponding to 17.4 revolutions. By using the formula 2(pie or 3.142)r/t, we can find the distance traveled and the time needed. Finally, we can calculate the speed of the car by dividing the
  • #1
JaKaL
3
0
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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  • #2
What's the circumference of the tire?
 
  • #3
Look carefully at the left and right side of your second equation. Are the units the same for both sides?
 
  • #4
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?
 
  • #5
thanks that was loads of help i used 2(pie or 3.142).33/ 17.4
 

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

What is the definition of linear speed?

Linear speed, also known as tangential speed, is the distance traveled by an object in a certain direction in a specific amount of time.

How is linear speed calculated?

To calculate linear speed, divide the distance traveled by the time it took to travel that distance. The formula for linear speed is: v = d/t, where v is the linear speed, d is the distance, and t is the time.

What is the difference between linear speed and velocity?

Linear speed refers to the magnitude of the speed of an object, while velocity takes into account the direction of the object's motion as well as its speed. Velocity is a vector quantity, while linear speed is a scalar quantity.

How does the linear speed of a car impact its acceleration?

The linear speed of a car can impact its acceleration by affecting the rate at which the car changes its velocity. The higher the linear speed, the greater the acceleration will be.

What factors can affect the linear speed of a car?

The linear speed of a car can be affected by various factors such as the engine power, weight of the car, aerodynamics, road conditions, and friction. Additionally, external factors such as wind resistance and incline of the road can also impact the car's linear speed.

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