A body of mass 2 kg is tied at one end of a string 2 m long & revolved in a horizontal circle. If the
breaking tension of the string is 400 N calculate the maximum velocity of the body.
(20 m/s)
circle of radius 1 m calculate the
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Explanation:
D
302rpm,31.6m/sec302rpm,31.6
Given : m=2kg R=1 m T
max
=2000N
Maximum tension force in the string T
max
=
R
mv
max
2
∴ 2000=
1
2×v
max
2
⟹v
max
=10
10
=31.6 m/s
Also v
max
=Rw
max
∴ v
max
=R(2πf
max
)
OR 31.6=1×2πf
max
⟹f
max
=5.03 rps
⟹ f
max
=5.03×60=302 rpm
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