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

The angular frequency ω is about 1200 rad/s

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

where:

Xc = capacitive reactance ( Ohm )

ω = angular frequency ( rad/s )

C = capacitance ( F )

where:

Xc = capacitive reactance ( Ohm )

XL = inductive reactance ( Ohm )

R = resistance ( Ohm )

Z = impedance ( Ohm )

Let us now tackle the problem!

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:

Grade: High School

Subject: Physics

Chapter: Alternating Current

energy stored in the capacitor= 9.72 x 10⁻⁴ j

explanation:

the energy stored in the capacitor is given by

e= 1/2 c v²

e= energy stored

c= capacitance= 1.5 µc= 1.5 x 10⁻⁶f

v= potential difference=36 v

so energy stored= e= 1/2 (1.5 x 10⁻⁶) (36)²

energy stored= 9.72 x 10⁻⁴j