If force f length L and time T are taken as fundamental units then what would be the dimension of mass
Answers
Hey user !!
Here's your answer !!
Given fundamental quantities are;
Force----F.
Length--L.
Time----T.
Dimensional formula of mass=?
Soln: Wkt F=m.a—————————→(eq1)
Where, F=force , m=mass, a= acceleration
Hence re-writing the equation-1,
m=F/a ——————————————->(eq2)
Force=F ; acceleration= length/time*time
=> Acceleration =length/(time)²
=> acceleration = [LT-²] I in eq-2;
m= F/a====[F/LT-²]
=> m= [FL-¹T²]
Hence the dimensional formula for mass when force(F),length(L)and time(T) are taken as fundamental quantities is;
m-> [FL-¹T²]
Hope it will help you !!
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Force----F.
Length--L.
Time----T.
F=m.a
Where, F=force , m=mass, a= acceleration
Hence re-writing the equation-1,
m=F/a
Force=F ; acceleration= length/time*time
=> Acceleration =length/(time)²
=> acceleration = [LT-²] I in eq-2;
m= F/a====[F/LT-²]
=> m= [FL-¹T²]