Question

I need help with this physics question.

Answer 1

The acceleration will increase by 61.3%.

Step-by-step explanation:

The centripetal acceleration
`a_c` is given by

`a_c = (v^2)/(r)`

If the velocity of the object increases by 27.0%, then its new velocity v' becomes

`v' = 1.270v`

The new centripetal acceleration
`a'_c` becomes

`a'_c = ((1.270v)^2)/(r) = 1.613 \left((v^2)/(r) \right)`

`\:\:\:\:\:\:\:\:\:= 1.613a_c`