Question:
Find the dimensions of
(a)angular speed,
(b) angular acceleration,
(c) Torque T
(d)moment of Inertia I
Solution:
(a) Angular speed $=$ radian/time $=\left[\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{-1}\right]$
(b) Angular acceleration $=$ Angular speed/time $=\left[\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{-2}\right]$
(c) Torque $=\vec{r} \times \vec{F}=\left[\mathrm{ML}^{2} \mathrm{~T}^{-2}\right]$
(d) Moment of Inertia $=\mathrm{Mr}^{2}=\left[\mathrm{ML}^{2}\right]$
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