Distance is 80 seconds is 8 what is the average speed?

Goryan [66]

A scientific theory is an explanation of an aspect of the natural world that can be repeatedly tested and verified in accordance with the scientific method, using accepted protocols of observation, measurement, and evaluation of results. Where possible, theories are tested under controlled conditions in an experiment.

8 0

3 years ago

A 67 Vrms source is placed across a load that consists of a 12 ohm resistor in series with an capacitor whose reactance is 5 ohm

SVETLANKA909090 [29]

a) The average true power is 318.3 W

b) The reactive power is 132.6 W

c) The apparent power is 344.8 W

d) The power factor is 0.92

Explanation:

a)

For a circuit made of a resistor and a capacitor, the average (true) power is given by the resistive part of the circuit only.

Therefore, the average true power is given by:

$P=I^2R$

where

I is the current

R is the resistance

In this problem, we have

V = 67 V (rms voltage)

$R=12 \Omega$ is the resistance of the load

$X=5\Omega$ is the reactance of the circuit

First we have to find the impedance of the circuit:

$Z=\sqrt{R^2+X^2}=\sqrt{12^2+5^2}=13 \Omega$

Then we can find the current in the circuit by using Ohm's law:

$I=\frac{V}{Z}=\frac{67}{13}=5.15 A$

Therefore, the average true power is

$P=I^2R=(5.15)^2(12)=318.3 W$

b)

The reactive power of a circuit consisting of a resistor and a capacitor is the power given by the capacitive part of the circuit.

Therefore, it is given by

$Q=I^2X$

where

I is the current

X is the reactance of the circuit

In this circuit, we have

$I=5.15 A$ (current)

$X=5 \Omega$ (reactance)

Therefore, the reactive power is

$Q=(5.15)^2(5)=132.6W$

c)

In a circuit with a resistor and a capacitor, the apparent power is given by both the resistive and capacitive part of the circuit.

Therefore, it is given by

$S=I^2Z$

where

I is the current

Z is the impedance of the circuit

Here we have

I = 5.15 A (current)

$Z=13 \Omega$ (impedance)

Therefore, the apparent power is

$S=I^2 Z=(5.15)^2(13)=344.8 W$

d)

For a circuit with a resistor and a capacitor, the power factor is the ratio between the true power and the apparent power. Mathematically:

$PF=\frac{P}{S}$

where

P is the true power

S is the apparent power

For this circuit, we have

P = 318.3 W (true power)

S = 344.8 W (apparent power)

So, the power factor is

$PF=\frac{318.3}{344.8}=0.92$

Learn more about power and circuits:

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#LearnwithBrainly

3 0

3 years ago

When two waves interact with their crests and troughs in alignment is called?

marissa [1.9K]

When two waves interact with their crests and troughs in alignment is called constructive interference. If two waves of the same wavelength occupy the same space in such a way that their crests and troughs align, the wave they produce will have an amplitude greater than that possessed by either wave initially. This is known as constructive interference. The more closely the waves are in phase—that is, perfectly aligned—the more constructive the interference.

5 0

3 years ago

Read 2 more answers

If a particle's position is given by x=4-12t+3t^2, where t is in seconds and x is in meters, what is its velocity at t=1 second?

andreyandreev [35.5K]

Answer:

v = -6m/s

Explanation:

$x=4-12t+3t^2$