If the radius of an object is doubled, the distance it moves in one revolution also doubles. This is because the distance traveled in one revolution is directly proportional to the circumference of the circular path, and the circumference is determined by the radius.
To understand this concept, let's consider the formula for the circumference of a circle:
Circumference = 2πr
Where "r" is the radius of the circle, and "π" is a mathematical constant approximately equal to 3.14159.
Now, if we double the radius of the object, the new radius would be 2r. Plugging this new value into the formula, we get:
New Circumference = 2π(2r) = 4πr
As you can see, the new circumference is four times the original circumference (2πr). Therefore, when the radius is doubled, the distance the object moves in one revolution also doubles.
Now, regarding the speed of the object, it depends on the time it takes to complete one revolution. Speed is defined as the distance traveled per unit of time. Since the distance traveled in one revolution is doubled when the radius is doubled, but the time taken to complete one revolution remains the same, the speed of the object also doubles.
In summary, doubling the radius of an object results in the distance traveled in one revolution doubling, while the speed of the object also doubles.