In one revolution, the object travels______ distance.a)2πrb)3πrc)4πrd...
In one revolution, the object travels 2πr distance. Revolution means a circular motion around an axis located outside the object. E.g., Rounding a curve in a car, merry go round, etc.
In one revolution, the object travels______ distance.a)2πrb)3πrc)4πrd...
In one revolution, the object travels a distance of 2πr.
- Heading: Explanation
- Sub-heading: Distance traveled in one revolution
The distance traveled by an object in one revolution can be calculated by multiplying the circumference of the object's circular path with the number of revolutions. The circumference of a circle is given by the formula 2πr, where "r" represents the radius of the circle.
- Sub-heading: Calculation
To calculate the distance traveled in one revolution, we need to multiply the circumference of the circle with the number of revolutions. In this case, we have one revolution, so the distance traveled can be calculated as follows:
Distance = Circumference × Number of revolutions
The circumference of the circle is 2πr, and since we have one revolution, the number of revolutions is 1. Therefore, the distance traveled in one revolution can be written as:
Distance = 2πr × 1
Simplifying the equation, we get:
Distance = 2πr
- Sub-heading: Answer
Therefore, the correct answer is option A, which states that in one revolution, the object travels a distance of 2πr.
- Sub-heading: Explanation of other options
The other options (B, C, and D) are incorrect because they do not accurately represent the distance traveled in one revolution. Let's analyze each option:
Option B: 3πr
This option suggests that the object travels a distance of 3πr in one revolution. However, this is not accurate; the correct distance is 2πr.
Option C: 4πr
Similarly, this option suggests that the object travels a distance of 4πr in one revolution, which is incorrect. The correct distance is 2πr.
Option D: πr
This option suggests that the object travels a distance of πr in one revolution. However, this is also incorrect; the correct distance is 2πr.
Therefore, option A, which states that the object travels a distance of 2πr in one revolution, is the correct answer.