Oscillations

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Question : 14
Total: 25
The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1.0 m. If the piston moves with simple harmonic motion with an angular frequency of 200radmin1, what is its maximum speed?
Solution:  
Stroke of piston = 2 times the amplitude. Let A = amplitude, Stroke = 1 m (given)
1=2A or A=
1
2
m

Now,vmax=ωA=200×
1
2

=100mmin=
100
60
m
s1

=
5
3
m
s1
=1.67ms1
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