a stone weighing 0.2kg tied to the end of a string 0.6 m long is it Whirled in a horizontal circle with a speed of 150 rev min-1 calculate the tension in the string
it is jee question plz solve it and keep progress
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Step-by-step explanation:
Mass, m=0.2 kg
Radius, r=1 m
Angular speed, ω=90 rpm
⟹ω=
60
90
⟹ω=1.5 rps
⟹ω=3π rad/s
(a) Angular velocity, ω=3π rad/s
(b) Centripetal acceleration. a=rw
2
⟹a=1×3π×3π
⟹a=9π
2
m/s
2
(c) Centripetal Force, F=ma
⟹F=0.2×9π
2
⟹F=1.8π
2
N
(d) Tension in string, = Centripetal Force
⟹T=F=1.8π
2
N
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