Question

Difference between angular speed and time period

Answer 1

Answer:

Explanation:

Time Period

In sinusoidal wave motion, as shown above, the particles move about the mean equilibrium or mean position with the passage of time. The particles rise till they reach the highest point that is the crest and then continue to fall till they reach the lowest point that is the trough. The cycle repeats itself in a uniform pattern. The time period of oscillation of a wave is defined as the time taken by any element of the string to complete one such oscillation. For a sine wave represented by the equation:

y (0, t) = -a sin(ωt)

The time period formula is given as:

                   $T=\frac{2\pi }{w}$

Frequency

We can define frequency of a sinusoidal wave as the number of complete oscillations made by any element of the wave per unit time. For a sinusoidal wave represented by the equation:

y (0,t) = -a

The formula of the frequency with the SI unit is given as:

                          $f=\frac{1}{T} =\frac{w}{2\pi }$

SI unit = Hertz