Two identical cars negotiate two level circular tracks of radii and respectively.
PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane
Problem
Two identical cars negotiate two level circular tracks of radii 50m and 80m respectively.
(i) The car on the 50m track moves with a constant speed of 12ms−1. Calculate the magnitude of its centripetal acceleration.
(ii) Determine the speed at which the car on the 80m track must travel so that its centripetal acceleration equals that of the first car.
(iii) Suppose instead that both cars adjust their speeds so that the time taken to complete one full revolution is the same for both tracks. Find the ratio of their centripetal accelerations under this condition.