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23 December, 13:17

A dimension is a physical nature of a quantity.

(i) give two (2) limitations of dimensional analysis ...

(ii) if velocity (v), time (T) and force (F) were chosen as basic quantities, find the dimensions of mass?

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  1. 23 December, 14:38
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    i) A dimension is the physical nature of a quantity. The two limitations of dimensional analysis is as following:

    Dimesnional analysis is unable to derive relation when a physical quantity depends on more than three factors with dimensions. It is unable to derive a formula that contain exponential function, trigonometric function, and logarithmic function.

    ii) Given:

    Velocity = v

    Time = t

    Force = F

    Force = mass x acceleration

    = mass x velocity/time

    So, mass = (force x time) / velocity

    [mass] = Ftv^-1

    Hence, dimesnion of mass is Ftv^-1.
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