Αποτελέσματα Αναζήτησης
We can use the formulas presented in this module to determine both the frequency based on known oscillations and the oscillation based on a known frequency. Let’s try one example of each. A medical imaging device produces ultrasound by oscillating with a period of 0.400 µs.
Periodic motion is a repeating oscillation. The time for one oscillation is the period T and the number of oscillations per unit time is the frequency f. These quantities are related by \(f = \frac{1}{T}\).
A. What is the period of the oscillation? B. Imagine we use a Motion Sensor to measure the position once per second and take the first measurement at t = 0 s. Remember that in the above formula the argument to the sine function is in radians. What will be the measured values of y for the first few measurements? Is your results reasonable? Explain.
1. One of the most important examples of periodic motion is simple harmonic motion (SHM), in which some physical quantity varies sinusoidally. Suppose a function of time has the form of a sine wave function, y(t) = Asin(2πt / T ) (23.1.1) where A > 0 is the amplitude (maximum value).
T = Period. f = Frequency. Period (time taken to complete 1 oscillation). Speed of a wave. Intensity of a wave vs. amplitude. Intensity of a wave’s radiation at a certain distance from the source. Transmitted intensity of light incident on a polariser (Malus’s law). n1/n2 = Index of refraction. θ = Angle of incidence/refraction. v = Wave ...
By rearranging the above formula so that its subject is frequency, you can derive the following formula for the time period of oscillations (T): T = 1 = 2π. f ω. Using the measurements described in the section above, you can use the following formulas with simple harmonic oscillators: = x Acos ωt. v = − A ωsin ωt. a = − A ω 2 cos ωt.
Example 1: Determine the Frequency of Two Oscillations: Medical Ultrasound and the Period Middle C. We can use the formulas presented in this module to determine both the frequency based on known oscillations and the oscillation based on a known frequency. Let’s try one example of each.
