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Theory of Machines Miscellaneous

  1. A gear train shown in the figure consists of gears P, Q, R and S. Gear Q and gear R are mounted on the same shaft. All the gears are mounted on parallel shafts and the number of teeth of P, Q, R and S are 24,45, 30 and 80, respectively. Gear P is rotating at 400 rpm. The speed (in rpm) of the gear S is _______.
    1. 120 r.p.m.
    2. 121 r.p.m.
    3. 119 r.p.m.
    4. 122 r.p.m.
Correct Option: A

TP = 24
TQ = 45
TR = 30
TS = 80
NP = 400 rpm
NS =?
Here gear G is not meshing,

NP
=
TQ
=
45
...(i)
NQTP24

NQ
=
TS
=
80
...(ii)
NSTQ45

By (i) and (ii)
NP
=
45
×
80

NS2445

NS = NP ×
24
=
400 × 24
8080

NS = 120 r.p.m.



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