Circular Motion, Revolutions from diameter, time and speed

In summary, a car moving at a speed of 20 m/s in 4 seconds with a tire diameter of 38cm will make 67 revolutions in total. The number of revolutions per second is not relevant to the given information. It is recommended to use the same number of significant digits in the result as in the given data.
  • #1
SherBear
81
0

Homework Statement


A car is moving at a speed of 20 m/s in 4 seconds and the car's tire is 38cm which is its diameter. How many revolutions did your tires make?





Homework Equations



Relevant Equations, T=2∏r / v

The Attempt at a Solution



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?
 
Physics news on Phys.org
  • #2
SherBear said:

Homework Statement


A car is moving at a speed of 20 m/s in 4 seconds and the car's tire is 38cm which is its diameter. How many revolutions did your tires make?





Homework Equations



Relevant Equations, T=2∏r / v

The Attempt at a Solution



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

This is the correct solution. The number of revolution was asked.

SherBear said:
67.22 rev / 4 sec. = 16.805 rev/s ?

is this wrong?

No. But nobody asked the number of revolutions in one second.
An other note: Do not use more significant digits in the result than the number of the significant digits in the data.

ehild
 
  • #3
Thank you very much ehild, so 67.22 REV is correct?
 
  • #4
SherBear said:
so 67.22 REV is correct?
Yes, but better to write 67 rev only.

ehild
 
  • #5
Thank you very much! Is there a way I can rate you as excellent?
 
  • #6
SherBear said:
Thank you very much! Is there a way I can rate you as excellent?

Thank you :smile:

ehild
 

1. What is circular motion?

Circular motion is the movement of an object along a circular path. This type of motion is characterized by a constant distance from a fixed point and a constant speed. Examples of circular motion include the motion of planets around the sun and the motion of a car around a roundabout.

2. How is circular motion related to revolutions?

Revolutions refer to the number of times an object completes a full circular path in a given time. In circular motion, the number of revolutions can be calculated by dividing the distance traveled by the circumference of the circular path. For example, if a car travels 500 meters around a roundabout with a circumference of 100 meters, it would complete 5 revolutions.

3. Can you determine the speed of an object in circular motion?

Yes, the speed of an object in circular motion can be calculated by dividing the distance traveled by the time taken. However, it is important to note that the speed of an object in circular motion is not constant, as the direction of motion is constantly changing.

4. How does the diameter of a circular path affect the time and speed of an object?

The diameter of a circular path does not directly affect the time and speed of an object in circular motion. However, a larger diameter can result in a longer distance traveled, which would require more time and result in a higher speed to complete one revolution.

5. What is the difference between linear and circular motion?

The main difference between linear and circular motion is the direction of motion. In linear motion, an object moves along a straight line, while in circular motion, the object moves along a circular path. Additionally, linear motion has a constant speed and direction, while circular motion has a constant speed but a changing direction.

Similar threads

  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
719
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
672
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
3K
  • Introductory Physics Homework Help
Replies
3
Views
931
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
18
Views
2K
Back
Top