CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Two cars of masses $$\mathrm{m}_{1}$$ and $$\mathrm{m}_{2}$$ are moving in circles of radii $$\mathrm{r}_{1}$$ and $$\mathrm{r}_{2}$$ respectively. Their speeds are such that they make complete circles in the same time $${t}$$. The ratio of their centripetal acceleration is :


A
m1r1 : m2r2
loader
B
m1 : m2
loader
C
r1 : r2
loader
D
1 : 1
loader

Solution

The correct option is C $$\mathrm{r}_{1}$$ : $$\mathrm{r}_{2}$$
Since both make complete circles in same time 't'. so angular velocity is also same for both the masses.
since centripetal acceleration $$a={ \omega  }^{ 2 }r$$
so $$\dfrac { { a }_{ 1 } }{ { a }_{ 2 } } =\dfrac { { { \omega  }_{ 1 } }^{ 2 }{ r }_{ 1 } }{ { { \omega  }_{ 2 } }^{ 2 }{ r }_{ 2 } } $$
and $${ \omega  }_{ 1 }={ \omega  }_{ 2 }$$
so $$\dfrac { { a }_{ 1 } }{ { a }_{ 2 } } =\dfrac { { r }_{ 1 } }{ { r }_{ 2 } } $$

Physics

Suggest Corrections
thumbs-up
 
1


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image