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SSC Pure Mathematics QUESTION #11137
Question 1
Centrifugal acceleration is:
  • $-\boldsymbol{\omega}\times(\boldsymbol{\omega}\times\mathbf{r})$✔️
  • $\boldsymbol{\omega}\times(\boldsymbol{\omega}\times\mathbf{r})$
  • $\boldsymbol{\omega}\cdot(\boldsymbol{\omega}\times\mathbf{r})$
  • $\mathbf{r}\times(\boldsymbol{\omega}\times\mathbf{r})$
Correct Answer Explanation
The centripetal acceleration is $\boldsymbol{\omega}\times(\boldsymbol{\omega}\times\mathbf{r})$ (directed toward the axis). The centrifugal acceleration is the negative of the centripetal acceleration, i.e. $-\boldsymbol{\omega}\times(\boldsymbol{\omega}\times\mathbf{r})$, directed away from the rotation axis. This term appears in the equation of motion in a rotating reference frame.