1. Not finding help here? Sign up for a free 30min 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!

Distance, angular velocity

  1. Feb 20, 2016 #1
    1. The problem statement, all variables and given/known
    A hamster runs in its wheel for 2.7 hours every night. If the wheel has a 6.8 cm radius and its average angular velocity is 3.0 radians per second, how far does the hamster run in one night?

    2. Relevant equations
    w= delta theta/change in time

    3. The attempt at a solution
    6.8 cm x .001m/1 cm = .0068 m
    2.7 hrs x 3600s/1 hr = 9720 s
    c = 2pi(.0068m) = .0427 m
    3.0 rad/s = delta theta / 9720 s
    =29160
    the correct answer is 2.0 x 10^3
     
  2. jcsd
  3. Feb 20, 2016 #2

    jedishrfu

    Staff: Mentor

    Check your centimeter to meter conversion? Remember there are 100 cm per meter right.
     
  4. Feb 20, 2016 #3
    oh whoops yeah
    then its .068 m
    im still not sure where to go from there
     
  5. Feb 21, 2016 #4

    SteamKing

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    You've converted the radius of the wheel from centimeters to meters.

    You know that the hamster spins the wheel at 3 rad/s. How fast is this for a wheel with a radius of 0.068 m?

    You could use the definition of radian here to help you.
     
  6. Feb 21, 2016 #5
    so
    i got that one rotation takes .157 seconds but i still dont know where to go from there
     
  7. Feb 21, 2016 #6

    SteamKing

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    You still haven't applied the definition of what a radian is to this problem.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Distance, angular velocity
  1. Velocity and distance (Replies: 3)

  2. Velocity and distance (Replies: 3)

  3. Angular Distance (Replies: 2)

  4. Angular Distance (Replies: 2)

Loading...