A stone of mass 250 g is tied to a light rope of length 1 m and whirled horizontally at a constant speed of 2 m/s. The centripetal force acting on the stone is
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Answered by
0
Answer:
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Explanation:
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Answered by
5
Answer:
Frequency of revolution of stone,
f=40rev/min=
60
40
rev/s
Angular speed of the stone, ω=2πf
=2π×
60
40
=
3
4π
rads
−1
The centripetal force is provided by the tension (T) in the string
i.e. T=
r
mv
2
=mrω
2
=0.25×1.5×(
3
4π
)
2
N=6.48N≈6.6N
As the string can withstand a maximum tension of 200N.
∴T
max
=
r
mv
max
2
⇒v
max
=
m
rT
max
=
0.25
1.5×200
=34.64ms
−1
≈35ms
−1
T=6.6N,v
max
=35ms
−1
Explanation:
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