1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Dynamics - constant speed

  1. Jan 29, 2013 #1
    1. The problem statement, all variables and given/known data

    A motorcyclist travels around a curved path that has a radius of 450 ft. While traveling around the curved path, the motorcyclist increases speed by 1.10[itex]\frac{ft}{s}[/itex]. Determine the maximum constant speed of the motorcyclist when the maximum acceleration is 7.00 [itex]\frac{ft}{s^2}[/itex]

    2. Relevant equations

    a = √(at)2+(an)2

    an = [itex]\frac{v^2}{ρ}[/itex]

    3. The attempt at a solution

    I've already solved for the speed at a given acceleration, and the magnitude of the acceleration at a given speed.

    But this part is a little confusing for me. I am thinking that I have to use the equation a = √(at)2+(an)2 and set a = 7.00 [itex]\frac{ft}{s^2}[/itex] and then I can solve for an.....then solve for v in the equation an = [itex]\frac{v^2}{ρ}[/itex], where ρ = 450 ft? But I'm not sure. I will give it a try, though.

    If anyone can weigh in on my approach, I would greatly appreciate it as always!
    Last edited: Jan 29, 2013
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted