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The number of times a wave repeats itself is called?
frequency. which is measured in hertz (Hz) or per second (1/s)
The number of times a sign wave repeats in one second is called?
frequency
How are frequency and period related in waves?
Mathematically, frequency = (1/Period) Conceptually, the period is how long it takes a wave to begin repeating itself. For example, if I start a stopwatch when the wave reaches its peak, and then stop timing when it reaches its next peak, the time on the stopwatch is the period. The frequency is how far the wave gets in 1 second. Some examples: If it take a wave 30 seconds to go through one cycle, the period is 30 seconds. In 1 second, it gets only 1/30 of the way through its cycle. Its frequency is 1/30 then. If a wave repeats itself 10 times in 1 second, its frequency is 10. It's period must be 1/10 of a second.
What is usual period for sine?
Periodic functions are those functions for which the value of the dependent variable repeats itself for certain values of the dependent variable.example:F(x)=yx is the dependent variable (output of the function)y is the independent variable (input of the function)F(x1)=y1F(x2)=y1As you can see the value of the function is the same for two different values of the dependent variable.The smallest difference between any two dependent variables giving the same value of the function is the period of the function.The periodicity of the usual sine function is 2pi. This is how it works:F(X)=sin(X)sin(x1)=ysin(x2)=sin(x1+2pi)=ysin(x3)=sin(x1+4pi)=yThe smallest difference between any two independent variables (x1 or x2 or x3) is 2pi.This is also evident from the general sine curve (graphical representation). The sine function has a fixed range from -1 to 1 (i.e.,for sin(x)=y, y can only lie between -1 and 1). So, the interval (difference in values of the independent variable) after which the nature of the wave repeats is it's period. Look at the graph and you'll see that the wave replicates after covering 2pi from the current point.
Is it true there are no naturally occurring right angles in nature?
No. A wave oscillates at right angles to its direction of propagation and there are plenty of waves in nature: electromagnetic, sonic, in water etc.
