What is the Frequency of an Alternating Current with a Sin Curve?

In summary, the frequency (F) for the alternating current U(T)=15cos(314t) is equal to 314/(2pi) or approximately 50Hz. This can be determined by dividing the angular velocity (314) by 2pi, which represents one full rotation or cycle. It is important to remember to use parentheses when using a calculator to avoid errors.
  • #1
JBemp
23
0

Homework Statement


what is the frequecy F for the alterating current
U(T)=15cos(314t) A


Homework Equations


Am really new at this kind of problem but i think 314 is how many times the current rotates or fluxuates in 1 period so the F has to be the distance between waves?



The Attempt at a Solution



15cos(314T)

314/2pi i get 493.23 but i know that's wrong
 
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  • #2
Are you sure 314/(2pi) is 493.23? Check with your calculator properly :wink:
 
Last edited:
  • #3
[tex]U\propto cos(\omega t) ~~~~ \omega = 2\pi \nu [/tex]

So you should divide 314 with 2pi, not divide 314 with 2 and then multiply with pi.
 
  • #4
ok i see what i did worng forgot the darn ( ) on the calc. man these ( ) always screw me.

thank you both
 

FAQ: What is the Frequency of an Alternating Current with a Sin Curve?

What is a sine curve?

A sine curve is a mathematical graph that represents a repeating pattern of oscillation, or back and forth movement. It is shaped like a smooth wave and is often used to model various natural phenomena, such as sound and light waves.

How are sine curves used in electrical currents?

Sine curves are used to represent alternating currents (AC) in electrical circuits. This is because the voltage and current in AC circuits follow a sine curve pattern, where they alternate between positive and negative values, unlike direct currents (DC) which have a constant value.

What is the relationship between sine curves and frequency?

The frequency of a sine curve is the number of complete cycles it completes in one second. In electrical currents, this corresponds to the number of times the current changes direction in one second. The higher the frequency, the more cycles there are in a given time period, resulting in a shorter wavelength and a higher pitch in sound waves.

How do you calculate the amplitude of a sine curve?

The amplitude of a sine curve is the distance from the center line (or equilibrium point) to the highest or lowest point on the curve. It can be calculated by finding the difference between the maximum and minimum values of the curve, or by dividing the peak-to-peak voltage by 2 in electrical circuits.

What real-life applications use sine curves and currents?

Sine curves and currents have a wide range of applications in various fields. They are used in electrical engineering for power generation and transmission, in audio technology for sound production, and in physics to model waves and vibrations. They are also used in music to create different tones and pitches, and in communication systems for transmitting signals through radio waves.

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