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Amplitude = 5 5 4 3 2 1 0 1 2 3 4 5 y = sinx y = 5sinx ? 2 ? 3? 2 2? University of Minnesota Frequency, Wavelength and Period
Conversely, the period is the reciprocal of the frequency, T = 1/ f Since the period is a time interval expressed in seconds (s), it is easy to see the close relationship between time interval and frequency The standard unit for frequency is the hertz (Hz), de?ned as events or cycles per second The frequency of electrical signals is often
period, but not viceversa, the period being a chaotic function of the frequency, expressible in terms of Thomae’s function The absolute value of the frequency is an increasing function of the
The relationship between food frequency and menstrual distress in high school females week before bleeding, during menstrual bleeding period, and a week after menstruation) The collected data
5 A bus comes around 15 times in 8 hours Find the frequency and period of the bus 6 A pendulum has a frequency of 3 5 Hz How many swings occur in one minute? 7 The equation to calculate the period of a perfect pendulum is T = 2 008L , where L is in meters Calculate the frequency of a pendulum with a length of 45 0 cm 8
cients will occur every 1/tin frequency, with amplitudes that fit into an “envelope” defined by a (sinx)/x function The first zero crossing will be at a frequency of 1/t, desig-nated f 1 in Figure 1b If the pulse is very short (t << t),the number of discrete frequency terms between zero and f 1 will be very large
of one wavelength in a time of one period, its speed must be: speed = distance / time = wavelength / period v = λ / p We more often use frequency = 1 / period
Graphs are one of the best ways to directly visualize the quantitative relationship between two variables – in other words, whether the variables are directly
The period formula, T = 2π√m/k, gives the exact relation between the vibrates sinusoidally with the same frequency f (the amplitude A can be different)