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because sine & cosine functions are periodic.
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Describe an experiment to find the refractive index of a glass block?
You can investigate fraction in glass using a rectangular glass block. By tracing the rays of light on a piece of paper, you can measure the angles of incidence (i) and refraction (r). If you repeat this process for a range of different angles of incidence, you would find that the sine of the angle of incidence and the sine of the angle of refraction are constant. This ratio is called the refractive index of the material, and is given the letter n.The angles of incidence and refraction are related by the following equation:sin in=__________sin r
What causes jagged sine waves?
Among many other things, a heartbeat.
Discuss the three types of inverters?
1.Square wave: This is one of the simplest waveforms an inverter design can produce and is useful for some applications. 2.Sine wave: A power inverter device which produces a multiple step sinusoidal AC waveform is referred to as a sine wave inverter. To more clearly distinguish the inverters with outputs of much less distortion than the modified sine wave (three step) inverter designs, the manufacturers often use the phrase pure sine wave inverter. Almost all consumer grade inverters that are sold as a pure sine wave inverter do not produce a smooth sine wave output at all, just a less choppy output than the square wave (one step) and modified sine wave (three step) inverters. In this sense, the phrases pure sine wave or sine wave inverter are misleading to the consumer. However, this is not critical for most electronics as they deal with the output quite well. Where power inverter devices substitute for standard line power, a sine wave output is desirable because many electrical products are engineered to work best with a sine wave AC power source. The standard electric utility power attempts to provide a power source that is a good approximation of a sine wave. Sine wave inverters with more than three steps in the wave output are more complex and have significantly higher cost than a modified sine wave, with only three steps, or square wave (one step) types of the same power handling. Switch-mode power supply (SMPS) devices, such as personal computers or DVD players, function on quality modified sine wave power. AC motors directly operated on non-sinusoidal power may produce extra heat, may have different speed-torque characteristics, or may produce more audible noise than when running on sinusoidal power. 3.Modified sine wave: A modified sine wave inverter has a non-square waveform that is a useful rough approximation of a sine wave for power translation purposes. The waveform in commercially available modified-sine-wave inverters is a square wave with a pause before the polarity reversal, which only needs to cycle back and forth through a three-position switch that outputs forward, off, and reverse output at the pre-determined frequency.Switching states are developed for positive, negative and zero voltages as per the patterns given in the switching Table 2. The peak voltage to RMS voltage do not maintain the same relationship as for a sine wave. The DC bus voltage may be actively regulated or the on and off times can be modified to maintain the same RMS value output up to the DC bus voltage to compensate for DC bus voltage variation. The ratio of on to off time can be adjusted to vary the RMS voltage while maintaining a constant frequency with a technique called PWM. The generated gate pulses are given to each switch in accordance with the developed pattern and thus the output is obtained. Harmonic spectrum in the output depends on the width of the pulses and the modulation frequency. When operating induction motors, voltage harmonics are not of great concern; however, harmonic distortion in the current waveform introduces additional heating and can produce pulsating torques. Numerous electric equipment will operate quite well on modified sine wave power inverter devices, especially any load that is resistive in nature such as a traditional incandescent light bulb. Most of the AC motors will run on MSW inverters with an efficiency reduction of about 20% due to the harmonic content. However, they may be quite noisy. A series LC filter tuned to the fundamental frequency may help.
Forces can be added together only if they are what?
Forces can be added if they are in the same direction. If they are in opposing directions, then they are subtracting, and if they are in directions less that 180 degrees, then the rules of geometry are applied to find the total force.
What is the motion called when you are playing a bell?
The sound coming from the bell, and the vibration of the bell itself, is described as simple harmonic motion. The graph would be a diminishing sine wave.
How do you find the max and min of sine cosine functions?
The maximum of the sine and cosine functions is +1, and the minimum is -1.
How do you use periodic functions in oscillation?
Many oscillations are simple harmonic motions and such motion can be represented by a sine (or equivalently, cosine) curve.
Why do you think it got its name?
It is likely named after the French mathematician and physicist Joseph Fourier, who is known for his work on the mathematical representation of periodic functions using sine and cosine functions.
Is sine and cosine a periodic function?
Yes they are. Both have a a period of 2 pi
What are the trigonometric functions?
sine, cosine, tangent, cosecant, secant and cotangent.
What are circular functions?
Sine, Cosine, Tangent, Cotangent, secant and cosecant
What is difference of using sine to cosine and tangent?
They are different trigonometric functions!
What are functions in trigonometry?
The basic functions of trigonometry are: sine cosine tangent secant cosecant cotangent
Is it possible to model everyday sounds and speech with trigonometric functions like sine cosine tangent cosecant secant or cotangent?
Yes, but only sine or cosine will suffice.
What is period as it pertains to the graph of sine and cosine?
Period is how long it takes for the sine and cosine functions to restart repeating themselves. Both have a period of 2pi (360 degrees).
What are the six trigonometric functions?
Sine Cosine Tangent ArcSine ArcCosine ArcTangent
Why are sine and cosine functions called harmonic?
Sinusoid shape of the sine and cosine functions appear as oscillations. If an object is moving in a straight line and its position (function of time) can be described as sinusoid then it is referred to as a simple harmonic motion.
