An object tied to the end of a string moves in a circle. The force exerted by the string depends on mass of the object, it's speed, and the radius of a circle. What combination of these variables gives the dimensions ( ML/T^2) for the force?
2 answers
Please respond to que.
F varies directly as mvr
F=Km^av^br^c
MLT^-2= KM^a(LT^-1)^bL^c
M=M^a
a=1 ......(1)
L=L^b+c
b+c=1 ....(2)
T^-2= T^-b
b=2 .......(3)
From (2)
b+c=1
2+c=1
c=-1 .......(4)
Subst. values of a,b and c in the eqn
F=KMV^2r^-1
F=KMV^2/r
F varies as MV^2/r
F=Km^av^br^c
MLT^-2= KM^a(LT^-1)^bL^c
M=M^a
a=1 ......(1)
L=L^b+c
b+c=1 ....(2)
T^-2= T^-b
b=2 .......(3)
From (2)
b+c=1
2+c=1
c=-1 .......(4)
Subst. values of a,b and c in the eqn
F=KMV^2r^-1
F=KMV^2/r
F varies as MV^2/r
3 answers