A body is revolving with a uniform speed ' \(v\) ' in a circle of radius ' \(r\) '. The tangential…
A body is revolving with a uniform speed ' \(v\) ' in a circle of radius ' \(r\) '. The tangential acceleration is:
\(\frac{\mathrm{v}}{\mathrm{r}}\)
\(\frac{v^{2}}{r}\)
\(\frac{\mathrm{v}}{\mathrm{r}^{2}}\)
zero
Solution
when a body is revolving around a circular path, it experiences 2 forces: Centrifugal force and Centripetal Force.
Centrifugal force (Latin for 'center fleeing') describes the tendency of an object following a curved path to fly outwards, away from the center of the curve. It's not really a force; it results from inertia \(-\) the tendency of an object to resist any change in its state of rest or motion.
Centripetal force is a real force that counteracts the centrifugal force and prevents the object from 'flying out,' keeping it moving instead with a uniform speed along a circular path.
Centripetal force: \(\mathrm{Fc}=\frac{m v^{2}}{\mathrm{r}}\)
Where as tangential force \(F_{t}=0 \Longrightarrow a_{t}=0\)