Q125 / 150 · MHT CET 2020 (19 Oct Shift 1) · Physics

A body is revolving with a uniform speed ' \(v\) ' in a circle of radius ' \(r\) '. The tangential acceleration is:

  • A
    \(\frac{\mathrm{v}}{\mathrm{r}}\)
  • B
    \(\frac{v^{2}}{r}\)
  • C
    \(\frac{\mathrm{v}}{\mathrm{r}^{2}}\)
  • Correct answer
    D
    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 \(F_{t}=0 \Longrightarrow a_{t}=0\)

Hence, the correct answer is option: 'D'.

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