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madam [21]
3 years ago
10

Alternating Current In Europe, the voltage of the alternating current coming through an electrical outlet can be modeled by the

function V 230 sin (100t), where tis measured in seconds and Vin volts.What is the frequency of the voltage
Physics
1 answer:
stealth61 [152]3 years ago
7 0

Answer:

\frac{50}{\pi }Hz

Explanation:

In alternating current (AC) circuits, voltage (V) oscillates in a sine wave pattern and has a general equation as a function of time (t) as follows;

V(t) = V sin (ωt + Ф)            -----------------(i)

Where;

V = amplitude value of the voltage

ω = angular frequency = 2 π f        [f = cyclic frequency or simply, frequency]

Ф = phase difference between voltage and current.

<u><em>Now,</em></u>

From the question,

V(t) = 230 sin (100t)              ---------------(ii)

<em><u>By comparing equations (i) and (ii) the following holds;</u></em>

V = 230

ω = 100

Ф = 0

<em><u>But;</u></em>

ω = 2 π f = 100

2 π f = 100             [divide both sides by 2]

π f = 50

f = \frac{50}{\pi }Hz

Therefore, the frequency of the voltage is \frac{50}{\pi }Hz

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If the car's motion appears as a horizontal line on a <u><em>position-time </em></u>graph, it shows that as time changes, the car's position doesn't change.

This is just a complicated way to say that the car is <em>not moving</em>.<em> (A)</em>

7 0
3 years ago
Una mujer de masa m está parada en el borde de una mesa giratoria horizontal de momento de inercia I y radio R. La mesa al princ
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r

- \frac{mR^2 }{I  } \ vAnswer:

a)      w = - \frac{m r }{I} v  ,  b)   W = - ½ m_woman R² (1 + m_woman R / I²) v²

Explanation:

a) To solve this exercise, let's use the conservation of angular momentum.

We define a system formed by the table and the woman, therefore the torques are internal and the moment is conserved

initial instant. Before starting to move the woman

         L₀ = 0

final instant. After starting to move

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the moment is preserved

        L₀ = L_f

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         w = - \frac{m r }{I} v                    (1)

the direction of the angular velocity is opposite to the direction of the linear velocity, that is, counterclockwise

b) for this part we use the relationship between work and kinetic energy

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in this case the initial speed is zero and the final speed of the table, using the relationship between linear and angular variables

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we substitute

          W = 0 - ½ I_total w²

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          W = - ½ (I + m_woman R²)  ( \frac{m_{woman} R}{I} \ v) ²

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Answer:

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PV=nRT

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648=(0.3284)T

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Using the ideal gas equation, T is measured in Kelvin.

Or, you could isolate T:

T = PV/nR

The answer is the same.

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