2. Given that v is the speed, r is radius and g is acceleration due to gravity. Which of the following
is dimensionless?
3. v²g/1
vrg 2/18
b. varg
ICA
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ANSWER
g
v
2
r
=
LT
−2
(L
1
T
−1
)
2
L
1
=L
2
rg
v
2
=
L
1
(L
1
T
−2
)
(LT
−1
)
2
=M
0
L
0
T
0
r
v
2
g
=
L
(LT
−1
)
2
LT
−2
=L
2
T
−4
v
2
rg=(LT
−1
)
2
(L
1
)(LT
−1
)=L
4
T
−3
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