If speed of an object revolving in a circular path is doubled and angular speed is reduced to half of original value, then centripetal acceleration will become
Answers
Answer:
hiiiiii
your answer is here !
Explanation:
Centripetal acceleration, CA = v^2 / r ( v - linear velocity ; r - radius )
v = rω ( ω - angular velocity )
The question is about changes in linear velocity (speed) and angular velocity (angular speed). So, lets convert the CA formula in terms of v and ω.
CA = v^2 / (v/ω) ------ ( r = v/ω )
CA = (v^2 x ω) / v
CA = v x ω
v is doubled and ω is halved,
CA = 2v x (ω/2)
CA = v x ω
As you can see, the changes made by doubling and halving are cancelled out. So, the answer is 'it remains the same'.
follow me !
If speed of an object revolving in a circular path is doubled and angular speed is reduced to half of original value, then centripetal acceleration will become double.
Explanation:
a = v²r
a' = (2v)²/2r
= 4v²/2r
= 2a