Suppose you are a roller coaster ride designer and you begin a new design with safety in mind. Safety regulations state that the riders' centripetal acceleration should be no more than n = 1.65g at the top of the hump and no more than N = 5.50g at the bottom of the hoop. Previous sections of the ride give the train a speed of 11.3 m/s at the top of the incline, which is h = 37.5 m above the ground (see figure). Ignoring the effects of friction and air resistance: (a) What is the minimum radius Rhump you can use for the semi-circular hump? (b) What is the minimum radius Rloop you can use for the vertical loop? h R hump R loop

Suppose you are a roller coaster ride designer and you begin a new design with safety in mind. Safety regulations state that the riders' centripetal acceleration should be no more than n = 1.65g at the top of the hump and no more than N = 5.50g at the bottom of the hoop. Previous sections of the ride give the train a speed of 11.3 m/s at the top of the incline, which is h = 37.5 m above the ground (see figure). Ignoring the effects of friction and air resistance: (a) What is the minimum radius Rhump you can use for the semi-circular hump? (b) What is the minimum radius Rloop you can use for the vertical loop? h R hump R loop

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

Similar questions

A 59.0 kg skateboarder wants to just make it to the upper edge of a "quarter pipe," a track that is one-quarter of a circle with a radius of 3.20 mWhat speed does he need at the bottom?
A 2 kg Box slides down an inclined plane. It has an incline of 1.09956 radians and coefficient of kinetic friction of 0.49. What is the final speed of the Box if it started at rest and the change in height is 2.4 m?
In a truck-loading station at a post office, a small 0.48 kg package is released from rest at point A on a track that is 1/4 of a circle with radius 2.2 m (as shown in the below Figure). The size of the package is much less than 2.2 m, so the package can be treated as a particle. It slides down the track and reaches point B with a speed of 3.5 m/s. From point B, it slides on a level surface a distance of 4.9 m to point C, where it comes to rest. m A R K B d (a) How much work (in J) is done on the package by friction as it slides down the circular arc from A to B? (b) What is the coefficient of kinetic friction on the horizontal surface?
A 55 kg skier starts from rest at the top of a ski jump, point ? shown in the figure, and travels down the ramp. If friction and air resistance can be neglected, determine (a) her speed ?? when she reaches the horizontal end of the ramp at ?, and (b) the distance ? to where she strikes the ground at ?.
Question 7. A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.79 m. With the string hanging vertically, the object is given an initial velocity of 2.0 m/s parallel to the ground and swings upward in a circular arc. Eventually, the object comes to a momentary halt at a point where the string makes an angle with its initial vertical orientation and then swings back downward. Find the angle 0. Ans: 42 degrees
A roller coaster ride starts at a height of 35 m above the ground. The mass of the car is 450 kg. Assuming friction can be ignored. What will the speed of the car be at the top off the first 20 m loop?
please see attached image for question. Thank you
A 67.5-kg skier encounters a dip in the snow's surface that has a circular cross section with a radius of curvature of 12.0 m, as shown below. The snow is so slippery it can be considered to be frictionless. If the skier's speed a point A is 9.64 m/s, what is the skier's speed at point B? (enter your answer to three significant figures) possibly useful: K, + U, = K, + U, + AQ K = (1/2)mv2 W = mg Ugrav = mgh r 12 m %3D 1.75 m g = 9.81 m/s? (FJnet = mac = mv/r 9.64 m/s Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B What is the normal force exerted on the skier at point B? (enter your answer to three significant figures) Submit Request Answer
What velocity does an 80kg skier need to have at the bottom to reach the top of the mountain with a v of 1m/s?
A skier weighing 0.85 kN goes over a frictionless circular hill as shown. If the skier's speed at point A is 8.8 m/s, what is his speed at the top of the hill (point B)?
The tension in each rope of a swing at the lowest point is 412 N when a 36.0-kg girl is swinging. The two ropes are each 3.06 m long. What is the girl's speed at the lowest point?
I need help with this physics question #2