Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Ask your questions and receive precise answers from experienced professionals across different disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Which formula can be used to find the tangential speed of an orbiting object?

A. [tex]\(v=\frac{2 \pi r}{T}\)[/tex]
B. [tex]\(v=\frac{\sqrt{2 \pi r}}{T}\)[/tex]
C. [tex]\(v=G \frac{m_{\text{central}}}{r}\)[/tex]
D. [tex]\(v=r \frac{m_{\text{central}}}{G}\)[/tex]

Sagot :

GinnyAnswer
To find the tangential speed of an orbiting object, you would use the formula:

[tex]\[ v = \frac{2 \pi r}{T} \][/tex]

where:
- [tex]\( v \)[/tex] is the tangential speed,
- [tex]\( r \)[/tex] is the radius of the orbit,
- [tex]\( T \)[/tex] is the orbital period.

This formula is derived from the relationship between the circumference of the orbit and the time taken to complete one full orbit. The tangential speed is essentially the distance traveled along the orbit (which is the circumference, [tex]\( 2 \pi r \)[/tex]) divided by the time it takes to travel that distance (the orbital period, [tex]\( T \)[/tex]).
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.