A 1000 kg car moving at 8 m/s takes a 90 degree turn (1/4 of a circle) with a radius of 30 m in 2.4 seconds. Calculate the angular velocity, centripetal acceleration, and centripetal force for the car.

Arunner is training for an upcoming marathon by running around a 100-m-diameter circular track at constant speed. let a coordinate system have its origin at the center of the circle with the x-axis pointing east and the y-axis north. the runner starts at (x, y) = (50 m, 0 m) and runs 2.5 times around the track in a clockwise direction.