Jump to content
Sign in to follow this  
  • entries
    10
  • comments
    14
  • views
    203

Roller Coasters

Sign in to follow this  
crazycrochet20

21 views

Roller coasters are great examples the concept of conservation of energy. Using the knowledge that the initial energy should equal the final energy, we can use the equation Ui + KEi = Uf+ KEf . An example of a real life roller coaster that this equation works with is the Ride of Steel.

 

The website gives the information that it is a 205 ft drop (62.5 m) but the total height of the ride is 208 ft (63.4). Even though the max speed of about 75 mph (33.5 m/s) is listed on the website, we want to confirm that information through the use of conservation of energy. We are looking for the max speed at the bottom of the first large hill. For this problem, we are going to say that the velocity at the top of the hill is about 0 m/s.

mgh+(1/2)mv2=mgh+(1/2)mv2 ----mass cancels out---> gh+(1/2)v2=gh+(1/2)v2 -----plug in variables-----> (9.8 m/s2)(63.4 m)+(1/2)(0m/s)2=(9.8 m/s2)(.9 m)+(1/2)(v)2 -----solve for v-----> v=35 m/s

Because some values were rounded to make the math easier, the velocity for the Ride of Steel does appear to be around 75 mph.

Until next time,

RK

Sign in to follow this  


0 Comments


Recommended Comments

There are no comments to display.

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

Terms of Use

The pages of APlusPhysics.com, Physics in Action podcasts, and other online media at this site are made available as a service to physics students, instructors, and others. Their use is encouraged and is free of charge. Teachers who wish to use materials either in a classroom demonstration format or as part of an interactive activity/lesson are granted permission (and encouraged) to do so. Linking to information on this site is allowed and encouraged, but content from APlusPhysics may not be made available elsewhere on the Internet without the author's written permission.

Copyright Notice

APlusPhysics.com, Silly Beagle Productions and Physics In Action materials are copyright protected and the author restricts their use to online usage through a live internet connection. Any downloading of files to other storage devices (hard drives, web servers, school servers, CDs, etc.) with the exception of Physics In Action podcast episodes is prohibited. The use of images, text and animations in other projects (including non-profit endeavors) is also prohibited. Requests for permission to use such material on other projects may be submitted in writing to info@aplusphysics.com. Licensing of the content of APlusPhysics.com for other uses may be considered in the future.

×