Respuesta :

Arnold11
So we want to know what is the angular frequency. With assuming there has been only one rotation. So angular frequency ω, in general, is defined as ω=φ/t, where φ is the angle of rotation and t is time of that rotation. When we have one rotation, φ=2π, or one full circle and time t=T or one period of rotation so for one rotation: ω=2π/T. 
johanrusli

The angular frequency ω is about 1200 rad/s

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Further explanation

Let's recall Capacitive Reactance and Impedance formula as follows:

[tex]\boxed{ X_c = \frac{1}{ \omega C } }[/tex]

where:

Xc = capacitive reactance ( Ohm )

ω = angular frequency ( rad/s )

C = capacitance ( F )

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[tex]\boxed{ Z^2 = R^2 + (X_L - X_c)^2}[/tex]

where:

Xc = capacitive reactance ( Ohm )

XL = inductive reactance ( Ohm )

R = resistance ( Ohm )

Z = impedance ( Ohm )

Let us now tackle the problem!

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Complete Question:

The emf phasor in the figure is shown at t = 2.0 ms at θ = 135°.

What is the angular frequency ω? Assume this is the first rotation.

Given:

time taken = t = 2.0 ms = 2.0 × 10⁻³ s

rotational angle = θ = 135° = ³/₄ π rad

Asked:

angular frequency = ω = ?

Solution:

[tex]\omega = \theta \div t[/tex]

[tex]\omega = ( \frac{3}{4} \pi ) \div ( 2.0 \times 10^{-3} )[/tex]

[tex]\omega \approx 1200 \texttt{ rad/s}[/tex]

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Learn more

  • The three resistors : https://brainly.com/question/9503202
  • A series circuit : https://brainly.com/question/1518810
  • Compare and contrast a series and parallel circuit : https://brainly.com/question/539204

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Answer details

Grade: High School

Subject: Physics

Chapter: Alternating Current

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