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A sinusoid wave is expressed as 5 sin(4πt – 60°). Find the frequency.
  • a)
    2 Hz
  • b)
    50 Hz
  • c)
    60 Hz
  • d)
    20 Hz
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A sinusoid wave is expressed as 5 sin(4πt – 60°). Find th...
Concept:
Considered a sinusoidal Alternating wave of voltage and current
From the waveform:
v = Vmsin⁡(ωt)
And,
i = Imsin⁡(ωt + ϕ)
Where Vm and Iare the maximum value of instantaneous voltage and current respectively.
v, i is the instantaneous value of voltage and current at any instant t.
ω is the angular frequency in radian/second.
And, ω = 2πf  
f is the frequency in Hz
From the above three equations instantaneous value of voltage and current can be written as:
v = Vmsin⁡(2πft)
And,
i = Imsin⁡(2πft + ϕ)
Calculation:
Sinusoidal expression of the wave is given as 5 sin (4πt – 60°)
Comparing the above expression with the given equation:
as:
v = Vmsin⁡(2πft)
Or,
i = Imsin⁡(2πft + ϕ)
Hence, ω = 4π
We know that,
ω = 2πf
∴ 4π = 2πf
∴ f = 2 Hz
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Community Answer
A sinusoid wave is expressed as 5 sin(4πt – 60°). Find th...
X + π/6).
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