How to find the frequency of a sinusoidal graph?
In a sinusoidal model of the form y = a⋅sin(b(x−c))+d , the period is found by taking 2⋅π|b| . Frequency is the reciprocal of period. Example: y = 2⋅sin(3x) would have a period of 2π3 , which is one-third the length of the "normal" period of 2π .
In this regard, what is the frequency of the sinusoidal graph?The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians. From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to . Therefore the frequency of the given sinusoidal graph is 4.
In the same manner how do you find the frequency of a graph?
Determining wave frequency from a graph
- Determining wave frequency from a graph.
- f • Frequency = #of cycles/time • Measured in Hertz (Hz)
- • 1 cycle = 1 full wave to repeat itself.
- 31 2 4 5 6 7 8 9 10 11 12 Time in seconds 3 cycles.
- from 0 to 12 seconds 31 2 4 5 6 7 8 9 10 11 12 Time in seconds 0.
- f=3 /12 s = ¼ Hz 31 2 4 5 6 7 8 9 10 11 12 Time in seconds.
In the same vein what is the frequency of a sinusoid?The frequency of a sine wave is the number of complete cycles that happen every second. (A cycle is the same as the period, see below.) In the bouncing weight above, the frequency is about one cycle per second.
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Related questions and answers
The voltage and frequency of alternating current (AC) electricity used in homes varies from country to country throughout the world. Typically, either 110-volt AC (110V) or 220-volt AC (220V) is used. Most countries use 50Hz (50 Hertz or 50 cycles per second) as their AC frequency. Only a handful use 60Hz.
The sine wave is a consequence of the way the AC is produced. If current is positive they move in one if current is negative they move in the other direction, but not representing any sinusoidal motion. The sinusoidal current comes from the amount of electrons - this just as a sidenote.
The Ac currents need to be converted to smaller DCto charge the phone's battery. Most mobile phone are usually used low level of DC current of 5V. The power supply from wall outlet in north America are AC current which the current flow back and forth at a really fate rate.
Though both AC and DC currents and shock are lethal, more DC current is required to have the same effect as AC current. For example, if you are being electrocuted or shocked 0.5 to 1.5 milliamps of AC 60 Hz current is required and up to 4 mA of DC current is required.
IMHO, AC Propulsion (Tesla Motors) uses AC because a mechanically commutated DC motor that meets the high "turn down" ratio of a vehicle application is more complex than an electronically commutated AC motor. Without that high turndown ratio the physical size of the motor producing just raw torque would be prohibitive.
The usual waveform of alternating current in most electric power circuits is a sine wave, whose positive half-period corresponds with positive direction of the current and vice versa. Audio and radio signals carried on electrical wires are also examples of alternating current.
All batteries, including the lithium-ion batteries powering everything from electric vehicles to drones to computers, operate with direct current (DC). A majority of appliances rely on AC, or alternating-current, power sources.
The most common type of AC waveform is the sine wave.
Alternating current (A.C) is five times more dangerous than Direct current (D.C). The frequency of the alternating current is the main reason for this severe effect on the human body. The frequency of 60 cycles is in an extremely harmful range. At this frequency, even a small voltage of 25 volts can kill a person.
The first thing you need to know is that light switches are rated based on the electrical current type. For example, the two most common types of lighting switches are DC (direct current) and AC (alternating current).
The answer to why DC current is not used in homes goes back to the inherent characteristics of direct currents and their weaknesses compared to Alternating Currents (AC). In fact, AC currents can be easily transmitted over long distances without much loss. They are also safer in direct touch at an equal voltage.
A.C. is said to be four to five times more dangerous than D.C. For one thing, A.C. causes more severe muscular contractions. The frequency of the AC has a lot to do with the effect on the human body. Unfortunately, 60 cycles is in the most harmful range. At this frequency, as little as 25 volts can kill.
Railway electrification systems using alternating current (AC) at 25 kilovolts (kV) are used worldwide, especially for high-speed rail.
Sine waves and square waves are two common analog signals. Note that this square wave is not a digital signal because its minimum value is negative.
To write a sine function you simply need to use the following equation: f(x) = asin(bx + c) + d, where a is the amplitude, b is the period (you can find the period by dividing the absolute value b by 2pi; in your case, I believe the frequency and period are the same), c is the phase shift (or the shift along the x-axis
Many devices in your house need DC. When you plug things into the outlet in your house, you don't get DC. Household outlets are AC - Alternating Current. This current has a frequency of 60 Hz and would look something like this (if you plotted current as a function of time).
A sine wave has energy at just one frequency, so the spectrum is just one point.
24V can be fatal, but you have to be both wet and very unlucky indeed. Resistance from hand to hand, wet, is about 1 kilohm, so 24V can push about 25mA through you, which is just above what's required through the heart to do nasty things.
The minimum current a human can feel depends on the current type (AC or DC) and frequency. A person can feel at least 1 mA of AC at 50-60 Hz, while at least 5 mA for DC. The current may, if it is high enough, cause tissue damage or fibrillation which leads to cardiac arrest.
First of all, keep in mind that both AC and DC voltage and Current are dangerous and hazardous. In other words, 230V AC (or 120V AC) is more dangerous than 230V DC or 120V DC respectively.
An AC generator uses the principal of Faraday's electromagnetic induction to convert a mechanical energy such as rotation, into electrical energy, a Sinusoidal Waveform. A simple generator consists of a pair of permanent magnets producing a fixed magnetic field between a north and a south pole.
DC power is significantly more energy efficient than AC power. DC motors and appliances have higher efficiency and power to size characteristics. DC-based lighting (LED) is as much as 75% more efficient than incandescent lighting.
Unfortunately, you can't plug an AC refrigerator straight into a DC power source. You need a power inverter between the source and the refrigerator. So the power converts from DC to AC through the inverter, goes into the refrigerator and converts to DC again. During each stage of the conversion, some power is lost.
Now the choice for AC or DC will depend on the cost of equipment needed to increase and decrease voltage level. As the transformer and related equipment for AC are cheaper compared to boosters and converters for DC, AC supply system is less expensive and accepted world wide.
220 volt a.c. means the effecitve or virtual value of a.c. is 220 volt, i.e., Ev=220 volt. But 220 volt d.c. has the same peak value (i.e., 220 volt only). Moreover, the shock of a.c. is attractive and that of d.c. is repulsive. Hence 220 volt a.c. is more dangerous than 220 volt d.c.
Most metros are operated with dc power either at 750V with third rail or 1.5kV with third rail/overhead contact line. Operating metros on 25kV ac overhead is a relatively new phenomenon and there is a lot of debate about the value of this adaption due to the importance of traction power to a system's performance.
The waveform of a current describes the shape of one cycle of the current. The frequency of a current is how many times one cycle of the waveform is repeated per second, and is measured in hertz (Hz). Mains electricity has a sine waveform (Figure 2b) and a frequency of 50Hz, i.e. it repeats 50 times per second.