Circular Motion, Revolutions from diameter, time and speed

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Homework Help Overview

The discussion revolves around a problem involving circular motion, specifically calculating the number of revolutions made by a car's tires given the speed, time, and diameter of the tires.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the calculation of distance traveled and the relationship between distance and the number of revolutions. There is an exploration of significant figures in the results and whether the calculated number of revolutions is presented correctly.

Discussion Status

Some participants confirm the calculated number of revolutions, while others suggest simplifying the result. The conversation includes checks on the accuracy of the calculations and the appropriateness of significant figures.

Contextual Notes

Participants note the importance of adhering to significant figures based on the data provided, and there is a mention of the relevance of the time frame in the context of the problem.

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

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

Thank you :smile:

ehild
 

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