What is the centripetal acceleration and angular velocity of a child located 8.2 m the center of a carousel? The speed (size of the tangential velocity) of the child is 2.1 m / s
A train moves in a straight path north until it turns to west. If the road segment used to change direction is shaped like a quarter circle of radius 30 m and the train takes 30 seconds to traverse that part of the road, What is it the speed (size of the velocity vector) and the centripetal acceleration acts on the train as it traverses the curve.
I am reviewing some concepts like centripet force,
ar = ( v^2 ) / r
The direction of the centripital acceleration is always inwards along the radius vector of the circular motion. The magnitude of the centripetal acceleration is related to the tangential speed and angular velocity as follows:
Can you please guide me to solve the 2 problems above?
for the fisrt one is it only :
(2.1 m / s)^2 / 8.2 m ?