The equation of a particle executing SHM is given by when the quantities are S.I units. Find the (1) Amplitude (2) angular velocity (3) Frequency (4) Phase constant (5) Initial Phase (6) Phase at time ‘t’
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Explanation:
The general equation of SHM is
x=ASin(ωt+ϕ)
where A is the amplitude
ω is the angular frequency
ϕ is the initial phase constant
Here
x=(5m)Sin(πs
−1
t+
6
π
)
a) A =Amplitude = 5 m
b) ϕ = Initial phase constant =
6
π
c) Angular frequency, ω=π rad/sec
∴ Time period, T=
ω
2π
=
π
2π
=2 sec
d) Maximum Speed, v
max
=∣Aω∣=∣5×2∣=10 m/sec
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