Questions: Which formula can be used to find the centripetal acceleration of an orbiting object?
ac = sqrt(v)/T
ac = v^2/T
ac = v^2/r
ac = sqrt(v)/r
Transcript text: Which formula can be used to find the centripetal acceleration of an orbiting object?
$a_{c}=\frac{\sqrt{v}}{T}$
$a_{c}=\frac{v^{2}}{T}$
$a_{c}=\frac{v^{2}}{r}$
$a_{c}=\frac{\sqrt{v}}{r}$
Solution
Solution Steps
Step 1: Understanding Centripetal Acceleration
Centripetal acceleration is the acceleration experienced by an object moving in a circular path, directed towards the center of the circle. The formula for centripetal acceleration is derived from the relationship between velocity, radius, and acceleration in circular motion.
Step 2: Analyzing the Given Options
We are given four options for the formula of centripetal acceleration:
ac=Tv
ac=Tv2
ac=rv2
ac=rv
Step 3: Identifying the Correct Formula
The correct formula for centripetal acceleration is:
ac=rv2
where v is the tangential velocity of the object and r is the radius of the circular path.
Final Answer
The correct formula for centripetal acceleration is ac=rv2.