The centripetal force acting on a particle revolving in a circular path depends upon the velocity of the particle (v) and radius of circle (r). Using dimensional method establish the formula for the centripetal acceleration (a).
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Answered by
2
Answer:
Correct option is
A
F=
r
mv
2
(where k=1)
Let F=k(m)
x
(v)
y
(r)
z
Here, k is a dimensionless constant of proportionality. Writing the dimensions of RHS and LHS in Eq. (i), we have
[MLT
2
]=[M]
x
[LT
−1
]
y
[L]
z
=[M
x
L
y+z
T
−y
]
Equation the powers of M, L and T of both sides, we have,
x=1,y=2andy+z=1
or z=1−y=−1
Putting the values in Eq. (i), we get
F=kmv
2
r
−1
=k
r
mv
2
F=
r
mv
2
(where k=1)
Answered by
1
Answer:
The centripetal force F acting on a particle moving uniformly in a circle may depend upon mass ( m ) , velocity ( v ) and radius ( r )of the circle .
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