* Radius of the orbit (r): This is the distance between the center of the orbit and the object.
* Orbital period (T): This is the time it takes the object to complete one full orbit.
Formula for Tangential Speed:
Tangential speed (v) = (2 * π * r) / T
Where:
* v = tangential speed
* π = 3.14159... (pi)
* r = radius of the orbit
* T = orbital period
Example:
Let's say Hannah knows the radius of the orbit is 1000 km and the orbital period is 2 hours. Here's how she would calculate the tangential speed:
1. Convert the orbital period to seconds: 2 hours * 3600 seconds/hour = 7200 seconds
2. Plug the values into the formula: v = (2 * 3.14159 * 1000 km) / 7200 seconds
3. Calculate the tangential speed: v ≈ 0.87 km/s
Therefore, Hannah needs the radius of the orbit and the orbital period to calculate the tangential speed of the orbiting object.
