In: Physics
what is centripetal acceleration please explain this concept
discuss the formulas that connect angular velocity to angular acceleration
give equations that involve centripetal acceleration and explain them
Ans:
a) Centripetal acceleration: In rotational motion it is the rate of change in tangential angular velocity of an object.
The direction of centripetal acceleration is always towards the center of the circle of the circular motion.
The magnitude of centripetal accelaration is
. Here
is the angular velocity.
b) Angular acceleration()
is the rate of change in angular velocity(
)
. The relation between angular velocity and angular acceleration is
c) 1:For a vehicle moving at a circular turn experiences force outward of the center due to centrifugal force. At balance stable motion this acceleration must be balanced by centripetal force. This centripetal force supplied by banking the roads.
2: For an electron moving in an orbit centrifugal force must be balanced by centripetal force. Here centripetal force is supplied in the form of coloumbic attraction beteween electron and nucleus.