spectrum of sinewave contains how many components
The spectrum of a pure sine wave by definition has only one component. Any other periodic wave will additional components at multiples of the fundemental frequency. The spectrum may or may not extend to infinity. A square wave for example has infinite harmonics, the harmonics of a 'modified sine wave' inverter has lower harmonics than a square wave but still has infinite harmonics. As you get closer to a pure sinusiod the energy content of the higher harmonics will be essentially non existent. It all depends how close the wave approximates a pure sinusoid.
Usually the two familiar components are opposite and adjacent. For opposite sine function and for adjacent cosine function have to used. Hence as R is to be resolved then the components are R sin@ and R cos@, where @ is the angle of R with its adjacent.
Random vibration is typically more severe than sine vibration because random vibrations consist of a wide range of frequencies that can excite resonances across a broader spectrum, making it harder to predict and mitigate potential structural failures. Sine vibrations, on the other hand, consist of a single frequency and are easier to analyze and dampen.
Sine and cosine functions are used in physics to describe periodic phenomena, such as simple harmonic motion, sound waves, and alternating currents in circuits. They help in modeling phenomena that exhibit oscillatory behavior over time or space. Sine and cosine functions are also used in vector analysis to analyze the components of vectors in different directions.
You would use trigonometry for that. If, for example, you have a force of magnitude 10 at an angle of 30 degrees: * The x-component is 10 times the cosine of 30 degrees * The y-component is 10 times the sine of 30 degrees Or better yet, learn to use the polar-->rectangular conversion on your scientific calculator.
The Fourier transform of a sine wave is a pair of delta functions located at the positive and negative frequencies of the sine wave.
Usually the two familiar components are opposite and adjacent. For opposite sine function and for adjacent cosine function have to used. Hence as R is to be resolved then the components are R sin@ and R cos@, where @ is the angle of R with its adjacent.
Yes. A signal of plateaus shows quantized or discrete levels of one or the other voltage; only 2 states. A sawtooth signal has a spectrum of states and has many more than 2 discrete states and is thereby analog. A sine wave is also an example of an analog signal - a spectrum of intensity.
Sine waves are a pure frequency, and hence are very stable, when passing through an analog circuit, they will keep their shape but may have their amplitude reduced. In comparison, a square wave has many frequency components, each of which may react differently to a circuit, resulting in a distorted waveform.
Random vibration is typically more severe than sine vibration because random vibrations consist of a wide range of frequencies that can excite resonances across a broader spectrum, making it harder to predict and mitigate potential structural failures. Sine vibrations, on the other hand, consist of a single frequency and are easier to analyze and dampen.
sine 810 = sine 90 = 1
A pure sine wave does not have any harmonic components beyond the fundamental. A transformer, if chosen carefully, could act as a low pass filter (removing the harmonics), but this is overkill. It would be better to develop a filter to do this.
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
Sine and cosine functions are used in physics to describe periodic phenomena, such as simple harmonic motion, sound waves, and alternating currents in circuits. They help in modeling phenomena that exhibit oscillatory behavior over time or space. Sine and cosine functions are also used in vector analysis to analyze the components of vectors in different directions.
Sine 3.3 degrees is about 0.057564. Sine 3.3 radians is about -0.157746. Sine 3.3 grads is about 0.051813.
Sine does not converge but oscillates. As a result sine does not tend to a limit as its argument tends to infinity. So sine(infinity) is not defined.
You would use trigonometry for that. If, for example, you have a force of magnitude 10 at an angle of 30 degrees: * The x-component is 10 times the cosine of 30 degrees * The y-component is 10 times the sine of 30 degrees Or better yet, learn to use the polar-->rectangular conversion on your scientific calculator.
sine dine