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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
    the correct answer is 2.0 x 10^3
  2. jcsd
  3. Feb 20, 2016 #2


    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


    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
    i got that one rotation takes .157 seconds but i still dont know where to go from there
  7. Feb 21, 2016 #6


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    You still haven't applied the definition of what a radian is to this problem.
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