Two wheels of radii 10 cm and 30 cm are connected to each other by a belt. What is the ratio of the moment of inertia of the larger wheel to that of the smaller wheel, when both of them have the same angular momentum?

Options

A. 2
B. 3
C. 4
D. 5

Answer

B

Explanation

As the belt does not slip, `V_(A)=V_(B)`
`therefore" "r_(A)omega_(A)=r_(B)omega_(B)`
`therefore" "(omega_(A))/(omega_(B))=(r_(B))/(r_(A))=(30)/(10)=3`
When both the wheels have he same angular mometum,
`l_(A)omega_(A)=l_(B)omega_(B)`
`therefore" "(l_(B))/(l_(A))=(omega_(A))/(omega_(B))=3`