A) 1 cm
B) 2 cm
C) 4 cm
D) 8 cm
Correct Answer: B
Solution :
A body placed on a non-inertial frame of reference which is rotating about its axis, experiences a centrifugal force. It is given by \[F=mr\,{{\omega }^{2}}\] where r is radius of circle, m is mass and co is angular speed. \[\therefore \] \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{{{r}_{1}}\,\omega _{1}^{2}}{{{r}_{2}}\,\omega _{2}^{2}}\] Since, \[{{F}_{1}}={{F}_{2}}\] \[\Rightarrow \] \[{{r}_{1}}\,\omega _{1}^{2}={{r}_{2}}\,\omega _{2}^{2}\] \[\Rightarrow \] \[{{r}_{2}}=\frac{{{r}_{1}}\,\,\omega _{1}^{2}}{\omega _{2}^{2}}\] Given, \[{{r}_{1}}=8\,cm,\,{{\omega }_{1}}=\omega ,\,{{\omega }_{2}}=2\omega \] \[\therefore \] \[{{r}_{2}}=\frac{8\times {{\omega }^{2}}}{{{(2\omega )}^{2}}}=\frac{8}{4}=2\,cm\]
You need to login to perform this action.
You will be redirected in
3 sec
