plot the combined source by adding up the three-phase source as following.(use any plotting tool, ex. wolframalpha) a. cos(t), cos(t-60), cos(t 60) b. cos(t), cos(t-120), cos(t 120)

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Answer 1

To plot the combined source of the given three-phase sources, we can use any plotting tool such as WolframAlpha. We need to add up the three-phase sources by taking into account the phase angle differences between them.

In the first case, the three sources are cos(t), cos(t-60), and cos(t+60). The phase angle difference between the first and second source is -60 degrees, and between the first and third source is +60 degrees. To add them up, we need to convert the angles to radians and use the trigonometric identity of cosine addition. The resultant source will be the sum of the three sources.The same process applies to the second case, where the three sources are cos(t), cos(t-120), and cos(t+120). The phase angle differences are -120 degrees and +120 degrees.After plotting the resultant sources, we can observe the characteristics of three-phase power. Three-phase power provides a constant power supply with fewer voltage fluctuations compared to a single-phase power supply. The three sources are 120 degrees out of phase, and the sum of these sources produces a balanced and continuous waveform. In conclusion, by adding up the three-phase sources with the help of a plotting tool, we can observe the balanced waveform produced by three-phase power. The phase angle differences between the sources determine the final waveform.

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Related Questions

is &(&i) ever valid in c? explain.

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In C programming, the expression "&(&i)" is not considered valid.

Here's a step-by-step explanation:
1. "i" represents a variable, which can store an integer value. To declare a variable "i" as an integer, you would write "int i;".
2. "&i" refers to the memory address of the variable "i". The ampersand (&) is known as the "address-of" operator, and it is used to get the address of a variable in memory.
3. Now, let's consider "&(&i)": this expression attempts to get the address of the address of the variable "i". However, this is not valid in C, because the "address-of" operator cannot be applied to the result of another "address-of" operator.
In summary, the expression "&(&i)" is not valid in C programming, as you cannot use the "address-of" operator on the result of another "address-of" operator.

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what is the difference between an argument that is valid and one that is invalid? construct an example each.

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An argument is said to be valid when its conclusion follows logically from its premises. In other words, if the premises are true, then the conclusion must also be true.

On the other hand, an argument is said to be invalid when its conclusion does not follow logically from its premises. This means that even if the premises are true, the conclusion may not necessarily be true.
For example, consider the following argument:
Premise 1: All cats have tails.
Premise 2: Tom is a cat.
Conclusion: Therefore, Tom has a tail.
This argument is valid because if we accept the premises as true, then the conclusion logically follows. However, consider the following argument:
Premise 1: All dogs have tails.
Premise 2: Tom is a cat.
Conclusion: Therefore, Tom has a tail.
This argument is invalid because even though the premises may be true, the conclusion does not logically follow from them. In this case, the fact that all dogs have tails does not necessarily mean that all cats have tails, so we cannot use this premise to support the conclusion.
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Calculate the maximum torsional shear stress that would develop in a solid circular shaft, having a diameter of 1. 25 in, if it is transmitting 125 hp while rotating at 525 rpm. (5 pts)

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To calculate the maximum torsional shear stress (τmax) in a solid circular shaft, we can use the following formula:

τmax = (16 * T) / (π * d^3)

Where:T is the torque being transmitted (in lb·in or lb·ft),

d is the diameter of the shaft (in inches).

First, let's convert the power of 125 hp to torque (T) in lb·ft. We can use the following equatio

T = (P * 5252) / NWhere:

P is the power in horsepower (hp),

N is the rotational speed in revolutions per minute (rpm).Converting 125 hp to torque

T = (125 * 5252) / 525 = 125 lbNow we can calculate the maximum torsional shear stress

τmax = (16 * 125) / (π * (1.25/2)^3)τmax = (16 * 125) / (π * (0.625)^3

τmax = (16 * 125) / (π * 0.24414)τmax = 8000 / 0.76793τmax ≈ 10408.84 psi (rounded to two decimal places)

Therefore, the maximum torsional shear stress in the solid circular shaft is approximately 10408.84 psi.

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