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Questions and Answers
What is the expression for centripetal or radial acceleration in uniform circular motion?
What is the expression for centripetal or radial acceleration in uniform circular motion?
- $\vec{a}_r = -\frac{v^2}{r}\hat{r}$
- $\vec{a}_r = -\omega^2 \vec{r}$ (correct)
- $\vec{a}_r = \omega^2 \vec{r}$
- $\vec{a}_r = \frac{v^2}{r}\hat{r}$
What does the acceleration in uniform circular motion depend on?
What does the acceleration in uniform circular motion depend on?
- Angular velocity and linear velocity
- Position vector and radius
- Angular velocity and position vector (correct)
- Linear velocity and radius
What is the expression for magnitude of centripetal acceleration in uniform circular motion?
What is the expression for magnitude of centripetal acceleration in uniform circular motion?
- $a = -\frac{v^2}{r}$
- $a = -\omega^2 r$
- $a = \omega^2 r$ (correct)
- $a = \frac{v^2}{r}$
In which direction is the centripetal acceleration directed in uniform circular motion?
In which direction is the centripetal acceleration directed in uniform circular motion?
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Study Notes
Uniform Circular Motion
- The expression for centripetal or radial acceleration in uniform circular motion is a = v²/r, where a is the acceleration, v is the velocity, and r is the radius of the circular path.
- The acceleration in uniform circular motion depends on velocity and radius of the circular path.
- The expression for the magnitude of centripetal acceleration in uniform circular motion is a = v²/r.
- The centripetal acceleration is directed towards the center of the circular path, meaning it is always directed radially inward.
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