Two particles of masses m and m/2 are moving along the circular paths of radii r and 3r, respectively, with equal speed. What is the ratio of their accelerations? 1 point a) 1 : 1 b) 1 : 3 c) 3 : 1 d) 2 : 1
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Answer:
r
1
: r
2
Since both make complete circles in same time 't'. so angular velocity is also same for both the masses.
since centripetal acceleration a=ω
2
r
so
a
2
a
1
=
ω
2
2
r
2
ω
1
2
r
1
and ω
1
=ω
2
so
a
2
a
1
=
r
2
r
1
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