Calculating Revolutions in Circular Motion: A Tire's Journey in 4 Seconds

In summary, the car's tire has a diameter of 38cm and is moving at a speed of 20 m/s for 4 seconds. Using the equation T=2∏r/v, we can calculate that the tire made 67.22 revolutions in 4 seconds. However, it is important to clarify whether the question is asking for the total number of revolutions or the number of revolutions per second.
  • #1
SherBear
81
0
A car is moving at a speed of 20 m/s in 4 seconds and the car's tire is 38cm around which is its diameter. How many revolutions did your tires make?

Relevant Equations, T=2∏r / v

My attempt at a solution:

To get the distance travelled=20 m/s (4 sec.) = 80 m

2∏(0.19m)= 1.19 m

80m / 1.19 m = 67.22 Rev

67.22 rev / 4 sec. = 16.805 rev/s ?

is this wrong?
 
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  • #2
SherBear said:
and the car's tire is 38cm around which is its diameter.
Is this the actual text of the problem or your interpretation?
I won't assume that "38 cm around" means diameter. Diameter is rather "across" that "around".
 
  • #3
My interpretation it says 38 cm = Diameter
 
  • #4
OK, then the only thing is that the question (as you wrote it) asks how many revolutions and not how many per second.
 
  • #5
is 67.22 rev correct then?
 
  • #6
It looks OK. If this is what the problem requires.
 
  • #7
Thank you very much for your time and patience nasu =-)
 

1. What is circular motion?

Circular motion is a type of motion where an object moves in a circular path around a fixed point. This type of motion can be seen in objects like planets orbiting around the sun or a ball spinning around a string.

2. What is the difference between uniform and non-uniform circular motion?

Uniform circular motion is when an object moves at a constant speed around a fixed point, while non-uniform circular motion is when the speed of the object changes as it moves along the circular path. This change in speed can be caused by factors like friction or changes in the object's mass.

3. What is centripetal force?

Centripetal force is the force that keeps an object moving in a circular path. It is always directed towards the center of the circle and is necessary to maintain the object's circular motion. This force can be provided by physical objects like strings or gravity.

4. How is circular motion related to revolutions?

Revolutions refer to the number of times an object completes a full circle in a given time period. In circular motion, the object completes one revolution every time it goes around the circle once. The speed of the object and the radius of the circle can affect the number of revolutions per time period.

5. How does centripetal force affect the motion of an object?

Centripetal force is responsible for keeping an object in circular motion, as it pulls the object towards the center of the circle. Without this force, the object would move in a straight line. The strength of the centripetal force also affects the speed and radius of the object's circular path.

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