Deduce the dimensional formula for workdone,pressure and density. [posted by boineelo ]
Answer:
workdone
We know that workdone = force x distance
Therefore [work done] = [force] [distance]
but force = ma
[force]=[m][a]
[a]=[velocity]/[t]
[velocity]=[displacement]/[t]
So, putting all these together
[work done]=[m][distance][distance]/[time][time]
[work done]=ML2T-2
Similarly, you can work out the dimensional formula for pressure and density as
[pressure]=[force]/[area]=ML-1T-2
[density]=[mass]/[volume]=ML-3
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