Roundabout management. The figure below shows an overhead view of a single-lane roundabout where access is computer controlled. Car 1 is allowed to enter at access point A at time t = 0. It accelerates at a = 2.4 m/s² to the speed limit of v = 10.6 m/s as it moves around the roundabout and past access point B where car 2 waits to enter. The radius R of the circular road is 48 m, the angle 8 subtended between A and B is 120°, and both cars have length L = 4.2 m. Car 2 is allowed to enter when the rear of car 1 is 1.9 car lengths past point B. At what time t is car 2 released?

Roundabout management. The figure below shows an overhead view of a single-lane roundabout where access is computer controlled. Car 1 is allowed to enter at access point A at time t = 0. It accelerates at a = 2.4 m/s² to the speed limit of v = 10.6 m/s as it moves around the roundabout and past access point B where car 2 waits to enter. The radius R of the circular road is 48 m, the angle 8 subtended between A and B is 120°, and both cars have length L = 4.2 m. Car 2 is allowed to enter when the rear of car 1 is 1.9 car lengths past point B. At what time t is car 2 released?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

Roundabout management. The figure below shows an overhead view of a single-lane roundabout where access is computer controlled.
Car 1 is allowed to enter at access point A at time t = 0. It accelerates at a = 2.4 m/s² to the speed limit of v = 10.6 m/s as it moves
around the roundabout and past access point B where car 2 waits to enter. The radius R of the circular road is 48 m, the angle 8
subtended between A and B is 120°, and both cars have length L = 4.2 m. Car 2 is allowed to enter when the rear of car 1 is 1.9 car
lengths past point B. At what time t is car 2 released?
Two lanes
Car 1
R
R
One lane
B
Car 2

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