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JAMB Physics 2023 Paper
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© africaexams.com
Question : 17
Total: 65
A man swung an object of mass 2 kg in a circular path with a rope 1.2 m long. If the object was swung at 120 rev/min, find the tension in the rope.
400
288
240
379
Validate
Solution:
m=2kg, r=1.2m, f=120rev/min ; T=?
f=
120
r
e
v
1
m
i
n
\frac{120\,\mathrm{rev}}{1\,\mathrm{min}}
1
min
120
rev
×
1
m
i
n
60
s
\frac{1\,\mathrm{min}}{60\,\mathrm{s}}
60
s
1
min
= 2rev\s
w=2
πf= 2×π×2= 4πrad\s
T=
m
v
2
r
\frac{mv^2}{r}
r
m
v
2
, but v = wr
⇒ T =
(
m
)
(
w
r
)
2
r
\frac{(m)(wr)^2}{r}
r
(
m
)
(
w
r
)
2
⇒ T =
m
w
2
r
mw^2r
m
w
2
r
= T = 2× (4
π)^2 × 1.2
T = 379N ( to 3 s.f)
© africaexams.com
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