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)...

See similar textbooks

Related questions

Q: A Ferris wheel with radius 8.0 m initially rotates clockwise at a constant rate by completing 1.50…

A: Using the kinematics equation,

Q: A basketball player kicks a hollow basketball up a ramp at 18m/s. The ramp has an angle of 25° and…

A: Given that, initial velocity = 18m/s The ramp has an angle of 25° length is 2.3m long

Q: The F-35A, one of the U.S. Air Force's latest fifth-generation fighter was taken 160 km away from…

A: To solve this problem, we can use the equations of motion and kinematics. We assume that the F-35A…

Q: In the figure below, suppose that the car is speeding up as it passes through point B and slowing…

Q: A small lead ball, attached to a 1.05-m rope, is being whirled in a circle that lies in the vertical…

Q: Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and…

A: Solution-

Q: A car drives around a circular track of diameter 156 m at a constant speed of 33.0 m/s. During the…

A: Given: Initial velocity: v=33 m/s Angle: θ=102° = 102180π rad Diameter: d=156 m Radius: r=d2=156…

Q: 2. The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an…

A: Given: The initial speed of the car is 4.3 m/s.

Q: a car is driving counterclockwise around a circular track. At the moment, it is on the far right…

Q: 1. (a) Is it possible to go around any type of curve with zero acceleration? Explain. (b) Is it…

Q: A particle moves in a circular path according to the clockwise equation θ(t)=π/4+3t+2t2, where θ is…

A: Here angular velocity = 4t+3 rad/sec And angular acceleration is = 4 rad/sec^2 so object speed is…

Q: All angles are measured as anti-clockwise rotations from the +x-axis. An object has an initial…

Q: A particle moves in a circular path according to the clockwise equation θ(t)=π/4+2t−4t2, where θ is…

A: A particle moves in a circular path then acceleration is acting towards the center. Each and every…

Q: An SUV is travelling at 20.0m/s on a straight road. Right before entering the quarter circle section…

A: Just after entering the curve, the vehicle will experience centripetal acceleration. The magnitude…

Q: A classic wooden coaster has cars that go down a big first hill, gaining speed. The cars then ascend…

A: The acceleration of the cars along the direction of the inclination be: Because the car is…

Q: A spacecraft on its way to Mars has small rocket engines mounted on its hull; one on its left…

Q: You have been asked to determine if a proposed apparatus to implant ions in silicon to make better…

A: The strength of a particle's electrical interaction with objects around it depends on its electric…

Q: Q10. The rod OA in figure Q.10 rotates in the horizontal plane such that 0 = t rad. At the same…

A: Here we have to use some basic formulas.

Q: ling along the curved road with a radius of 15 car A is accelerating in the direction of its peed of…

A: Given: radius, r=150 m VA=72 kph VB=54 Kph

Q: A rock is launched off a cliff at a speed of 17.2 m/s at an angle of 35.0 degrees above the…

A: Given Data: The launching speed of rock is, v=17.2 m/s The angle above the horizontal is, θ=35° The…

Q: The speed of a particle moving along circle of radius r=4 m, is v(t) = 4t; where v is in m/s and t…

A: Here given the speed of a particle moving along a circle of radius r = 4 m is v(t) = 4t .Here the…

Q: At t₁ = 5.00 s, the acceleration of a particle moving at constant speed in counterclockwise circular…

Q: At the equator, the radius of the Earth is approximately 6370km. A jet flies at a very low altitude…

Q: At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…

Q: https://www.webassign.net/web/Student/Assignment-Responses/submit.dep A woman driving a car 16 ft…

Q: The Giant Ferris wheel in vienna has radius R = 30 m. Assume that at the time t = t0 , a person is…

Q: Carl is eating lunch at his favorite cafe when his friend Isaac calls and says he wants to meet him.…

A: Isaac's driving speed, vi = 65.0 mph Carl's driving speed, vc = 50.0 mph Time taken by Carl to eat…

Q: A golf ball is driven with the initial conditions shown in the figure. If the wind imparts a…

Q: 4. Given the acceleration as a function of the angle theta, a = 6.5 sin 0 + 2.3cos 0 i. ii. Find the…

Q: In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 12.0 m in…

A: Given: The diameter of the circle is d=12.0, The number of revolutions per minute is N =30.6 rpm.…

Q: A Scotch yoke is a mechanism that transforms the circular motion of a crank into the reciprocating…

A: The acceleration of the point A is a=-1.8sinkt. At the initial time, x=0 and v=0.6 m/s. The value of…

Q: At the instant shown, cars A and B (angle between them is 60°) are traveling at speeds of 65 mi/h…

Q: The figure represents the velocity and the acceleration of a particle moving clockwise in a circle…

A: So we have given a circle of radius 25 cm or 0.25 macceleration of particle is 16 m/s2 angle is We…

Q: The Nardo ring is a circular test track for cars. It has a circumference of 12.5 km. Cars travel…

Q: A toy train is moving around a circular track of diameter 120 cm. Imagine it starts at the most…

A: The first step is to calculate the circumference of the circular track. The formula for the…

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

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given:

VIEW

Step 2: Solution:

VIEW

Step 3: Calculating time for passing of cars:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 20 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

You built a pinball machine that has a banked circular track with radius 0.34 m. The ball shooter launches the ball directly into this circular track before the ball enters into the game. You fire pin balls at a constant speed into the track and adjust the banking angle until it works. The banking angle is 21 degrees. Assume your pin ball machine is on a horizontal plane, how fast is the ball launched into the track, in m/s? Hint: I have a video on this problem about swing pendulum but the results are very similar, except a string length was given instead of path radius and tension was present instead of normal force. Assume friction is negligible.
A basketball (a hollow sphere) starts at rest and rolls down a roof. It rolls 4m before leaving the 30 degree roof. a) What is the speed of the ball when it leaves the rooftop? b) If the roof ledge is 5m high, how far away does the ball land from the house? (assume v= 3m/s if you could not solve part a)
A particle moves in a circular path according to the clockwise equation θ(t)=π/4+2t+4t2, where θ is the angle between the particle's position vector and the x axis, oriented positively counterclockwise. θ is measured in radians and t in seconds. Which of the images below represents the velocity vectors v (in red) and acceleration a (in blue) of the particle at time t=0? Choose between an option : A, B, C, D, E, F, G, or H
A small lead ball, attached to a 1.45-m rope, is being whirled in a circle that lies in the vertical plane. The ball is whirled at a constant rate of three revolutions per second and is released on the upward part of the circular motion when it is 1.7 m above the ground. The ball travels straight upward. In the absence of air resistance, to what maximum height above the ground does the ball rise?
We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?
A fly ball is hit to the outfield during a baseball game. Let’s neglect the effects of air resistance on the ball. The motion of the ball is animated in the simulation (linked below). The animation assumes that the ball’s initial location on the y axis is y0 = 1 m, and the ball's initial velocity has components v0x = 20 m/s and v0y = 20 m/s. What is the initial angle (in degrees) of the baseball's velocity? (Write only the numerical value of the answer and exclude the unit) Blank 1
A spacecraft has an initial speed of 3037 m/s at an angle of 27 degrees above the positive x axis. Two engines fire for 5.4 seconds, and produce an acceleration of 9.9 m/s/s at an angle of 18.5 degrees above the positive x axis. What is the final speed of the spacecraft? What angle is it at above the positive x-axis?
A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 23 m/s at an angle θ = 16 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position. A) With what speed, vf in meters per second, does the stone strike the ground? B) If the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, would its impact velocity be different? If the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, would its impact velocity be different?
A ball on the ground is kicked at initial velocity of U and angle 30 degrees to the horizontal and lands at distance x₂ = 10 sqrt (3) m. The projectile motion of the ball is shown below. What is the time of flight in seconds? Round your answer to the nearest integer. Consider g to be 10 m/s². Y Ө U X1 x2 X
A boll rounds a 32 m radius curve at 15 m/s. The magnitude of it's acceleration in m/s2 ?
Several people stand on a bridge over a river. The bridge is not level, so the people are all different heights above the river. Each person throws a stone to the river. a) The first person is 26.8 m above the river and throws her stone with a speed of 16.6 m/s at an angle of 6 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below). How long does it take her stone to hit the water, in seconds? b) The second person is 19.0 m above the river and throws his stone with a speed of 17.1 m/s at an angle of -21.4 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below). What is the range of his stone, in meters? c)The third person is 9.1 m above the river and throws their stone with a speed of 6.5 m/s at an angle of 9.3 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below). What is the speed of this stone (in m/s) just before it strikes the river?
V01