Distance, angular velocity

  • #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?

Homework Equations


w= delta theta/change in time

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[/B]
 

Answers and Replies

  • #2
13,169
7,069
Check your centimeter to meter conversion? Remember there are 100 cm per meter right.
 
  • #3
oh whoops yeah
Check your centimeter to meter conversion? Remember there are 100 cm per meter right.
then its .068 m
im still not sure where to go from there
 
  • #4
SteamKing
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oh whoops yeah

then its .068 m
im still not sure where to go from there
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.
 
  • #5
so
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.
i got that one rotation takes .157 seconds but i still dont know where to go from there
 
  • #6
SteamKing
Staff Emeritus
Science Advisor
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so

i got that one rotation takes .157 seconds but i still dont know where to go from there
You still haven't applied the definition of what a radian is to this problem.
 

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