Question

What will happen to the centripetal acceleration if the velocity of the object increases to two times its original value?

Answer 1

the centripetal acceleration will now be four times its initial value

Step-by-step explanation:

v=velocity

a=centripetal acceleration

r=radius to the center

take note tat a centripetal force is the force tat is needed to keep a body moving along a circular path

centripetal force is given by f=mv^2/r

a=v^2/r

v=v
`v_(0)`

wen v
`v_(0)` is doubled , we ave

2v
`v_(0)`

substituting into the previous equation of centripetal force

a=(
`(2v_(0))^(2)`/r

a=4
`v_(0)`^{2}/(r)

from the equation, is can be discovered that the centripetal acceleration will now be four times its initial value