A) \[1:4\]
B) \[1:2\]
C) \[1:1\]
D) \[2:1\]
E) \[4:1\]
Correct Answer: D
Solution :
The relation between linear velocity v and angular velocity\[\omega \]is \[v=r\omega \] \[\Rightarrow \] \[\omega =\frac{v}{r}\] Given, \[{{\omega }_{1}}={{\omega }_{2}}\] \[\Rightarrow \] \[\frac{{{v}_{1}}}{{{r}_{1}}}=\frac{{{v}_{2}}}{{{r}_{2}}}\] \[\Rightarrow \] \[\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{{{r}_{1}}}{{{r}_{2}}}\] where, \[{{r}_{1}}=r,{{r}_{2}}=\frac{r}{2}\] \[\therefore \] \[\frac{{{v}_{A}}}{{{v}_{B}}}=\frac{1}{1/2}=\frac{2}{1}\]
You need to login to perform this action.
You will be redirected in
3 sec
