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!

Torque to speed

  1. Dec 4, 2008 #1
    1. The problem statement, all variables and given/known data
    A wheel of mass m is given a torque to roll without slipping. What is the linear acceleration of the axle?
    [​IMG]


    2. Relevant equations
    Idisk = mr2/2


    3. The attempt at a solution
    From Torque to angular acceleration:

    α = 2τ/mr2

    The unit of α is rad/s2. Each radian correspond to r meters, so the axle is accelerating at a=2τ/mr (m/s2).

    Since the whole wheel is moving, the force is ma= 2τ/r at the center of mass.

    Since the wheel is rolling without slipping, there is a friction force at the ground. The force against the ground is F = τ/r. This force is the same at the top of the wheel, point tangentially clockwise. The acceleration at the top of the wheel from the turning is a = rα. If this acceleration is combined with the acceleration of the center, then the top is accelerating at 4τ/mr.

    The center is accelerating at 2τ/mr.

    The bottom is not accelerating.

    Is there anything wrong or missing?

    How would things change if there is a weight Fw acting on the axle?

    - Thanks
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted



Similar Discussions: Torque to speed
  1. Torque net (Replies: 0)

  2. Torque wrench (Replies: 0)

  3. Equation for torque (Replies: 0)

  4. Moments and torque (Replies: 0)

Loading...