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I Dimensional Analysis

  1. Aug 7, 2016 #1
    Hi
    The relation between torque, moment of inertia and angular acceleration is:
    T=Ia
    Have a look to it's units:
    (N.m)=(kg.m^2).(Rad/s^2) >>>> N=kg.m.Rad/s^2
    Please explain the equation Dimensionally. How (kg.m.Rad/s^2) is equal to N?
    Thanks.
     
  2. jcsd
  3. Aug 8, 2016 #2

    Svein

    User Avatar
    Science Advisor

    Starting with F = m⋅a, the dimensions give N = kg⋅m/s2. Insert this in your equation and remember that "Rad" is dimensionless (arc length/radius gives m/m).
     
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