Question

write the dimensional formulae of work and frequency

Answer 1

Suppose we have Pendulum with Bob.

To and fro motion of Bob is oscillation.

The time taken for one oscillation is called time period .

Similarly the number of oscillations made by pendulm in one second is called frequency

Alright !!!

Let's do some math

In time period “T” no of oscillation made =1

In time “1second “ no of oscillation =1/T

And that is frequency .

So frequency =. 1/Time period

Dimension of frequency =[T^-1].









For work :-

Work is also known as Energy, because of them have the same dimensional formula

FORCE *DISPLACEMENT = WORK/ENERGY

force = mass * acceleration

therefore mass * acceleration * displacement = work

M * LT-2 * L = M L2 T-2

kg * ms-2 * m = kg m2 s-2

Answer 2

HELLO USER...........

HERE IS YOUR ANSWER.......

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THE DIMENSIONAL FORMULA FOR WORK

WORK = FORCE × DISPLACEMENT

           = MLT⁻² ₓ L

           = ML²T⁻².

DIMENSIONAL FORMULA FOR FREQUENCY..

FREQUENCY = 1/TIME PERIOD

                      =  1/T

                     υ =T⁻¹

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