Question

If the moment of inertia of the diver in a straight position is 14 kg⋅m2 and in a tucked position is 4.0 kg⋅m2 , by what factor is her angular velocity when tucked greater than when straight?\

Answer 1

required factor of angular velocity is 3.5

Step-by-step explanation:

given data

I straight = 14 kg.m²

I' tucked = 4 kg.m²

solution

as here by the conservation of angular momentum we get

I straight = I tucked .................1

I × ω = I' × ω'

`(\omega ')/(\omega ) = (I)/(I')`

`(\omega ')/(\omega ) = (14)/(4)`

`(\omega ')/(\omega ) = 3.5`

required factor of angular velocity is 3.5