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alekssr [168]
4 years ago
13

A balanced three-phase inductive load is supplied in steady state by a balanced three-phase voltage source with a phase voltage

of 120Vrms. The load draws a total of 10kW at a power factor of 0.9. Calculate the rms values of the phase currents and the magnitude of per-phase load impedance, assuming a wye-connected load. Draw a phasor diagram showing all three voltages and currents.
Physics
1 answer:
Vsevolod [243]4 years ago
8 0

Answer: Voltage, V=120V; Power,P=10kW or 10,000W

P = V*I (where I is current)

∴ I = P/V =10000/120 = 83.3A

Resistance, R = V/I = 1.44 ohms

Power Factor(cosФ)= 0.9 = Resistance, R/Impedance, Z

∴ Z = 1.44/0.9 = 1.6 ohms

Explanation: The three-phase inductive load supply carries alternating current of the same frequency and voltage amplitude relative to a common reference but phase difference of one third of a cycle between each of three voltages and currents.

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6 0
3 years ago
Marisa does 3.2J of work to lower the window shade in
Pani-rosa [81]

Work is considered as the Force performed on a body to move it a certain distance, that is

W = Fd

Here

W = Work

F = Force

d = Distance

In this case we have the values of work and distance, therefore clearing for the Force we would have to

F = \frac{W}{d}

Replacing,

F = \frac{3.2J}{8m}

F = 0.4N

Therefore the force that Marissa must exert on the windows shade is 0.4N

5 0
3 years ago
Can someone help me out?
Sphinxa [80]

Answer:

1) The car is slowing down

2) A = 40N forward & B = 25N up

Explanation:

Whenever you're dealing with forces on moving objects, it is important to look at each of the numbers and the directions they're going in.

With the racecar, we see it has four forces on it, 2,000 N up and down, 8,000 back, and 6,000 N forward. Now, each of these forces are going in their respective directions, but they are most in comparison with the force going in the opposite direction (vertical axis, horizontal axis). The two 2,000 N forces will cancel each other out since there is an equal force in both directions, causing a net force of <u>0 N on the vertical axis</u>. This is because the car is most likely moving on a flat surface. As for the horizontal axis, we simply subtract 6,000 & 8,000 to get a net force of <u>-2,000 N in the backwards direction</u>, telling us that the car is slowing down.

As for the boxes, we see the same vertical and horizontal axes, but separated to each box. Box A has a net force of <u>40 N in the forward direction</u> and Box B has a net force of <u>25 N in the upward direction</u>.

4 0
3 years ago
Sasha sits on a horse on a carousel 3.5 m from the center of the circle. She makes a revolution once every 8.2 seconds. What is
Leokris [45]

Answer: 2.7 m/s

Explanation:

Given the following :

Period (T) = 8.2 seconds

Radius = 3.5 m

The tangential speed is given as:

V = Radius × ω

ω = angular speed = (2 × pi) / T

ω = (2 × 22/7) / 8.2

ω = 6.2857142 / 8.2

ω = 0.7665505

Therefore, tangential speed (V) equals;

r × ω

3.5 × 0.7665505 = 2.6829268 m/s

2.7 m/s

6 0
4 years ago
A car traveling at 91.0 km/h approaches the turn off for a restaurant 30.0 m ahead. If the driver slams on the brakes with the a
eduard

Answer: 49.92 m

Explanation:

In this situation the following equation will be useful:

V^{2}=V_{o}^{2} +2 a d

Where:

V=0 m/s is the final velocity of the car, when it finally stops

V_{o}=91 \frac{km}{h} \frac{1000 m}{1 km} \frac{1 h}{3600 s}=25.27 m/s is the initial velocity of the car

a=-6.4 m/s^{2} is the constant acceleration of the car after the driver slams on the brakes

d is the stopping distance

Isolating d:

d=\frac{-V_{o}^{2}}{2a}

d=\frac{-(25.27 m/s)^{2}}{2(-6.4 m/s^{2})}

d=41.919 m \approx 41.92 m

7 0
4 years ago
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