The tangential speed of an orbiting object is [tex]v=\frac{2\pi r}{T}[/tex]
Explanation:
The tangential speed of an orbiting object is defined as the ratio between the distance covered in one revolution and the period of revolution:
[tex]v=\frac{d}{T}[/tex]
where
d is the distance covered during one period
T is the orbital period
However, the distance covered during one period is the circumference of the circle:
[tex]d=2\pi r[/tex]
where
r is the radius of the circle
Substituting the 2nd equation into the 1st equation, we find:
[tex]v=\frac{2\pi r}{T}[/tex]
So, this is the final expression for the tangential speed of an orbiting object.
Learn more about circular motion:
brainly.com/question/2562955
brainly.com/question/6372960
#LearnwithBrainly
