Amass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a compressed position. the record of time is started when the oscillating mass first passes through the equilibrium position, and the position of the mass at any time is described by x = (3.9 cm)sin[(9.3 rad/s)πt]. determine the following.

(a) frequency of the motion hz.
(b) period of the motion.
(c) amplitude of the motion cm.
(d) first time after t = 0 that the object reaches the position x = 2.6 cm

Fft review: linspace, fs, fftshift, nfft 1. generate one second of a cosine of w,-10hz sampled at f, = 100hz and assign it to x. define a tt as your time axis 2. take 64 points fft. 3. as you remember, the dft (which the fft implements) computes n samples of s2t where k-0,1,2, n -1. plot the magnitude of this 64-points fft at range 0 to 63, what do you think of this graph? 4â·to get the x-axis into a hz-frequency form, plot this 64-points fft between-50 to 50 (the 100hz sampling rate) and have n-points between them. 5. according to your figure, what frequency is this cosine wave at? 6. remember that the fft is evaluating from 0 to 2ď€. we are used to viewing graphs from-ď€ to ď€. therefore, you need to shift your graph. 7. now according to your shifted graph. what frequency is this at? 8. note that the spikes have long drop-offs? try a 1024-point dft. note that the peak is closer to 10 and the drop-off is quicker. although, now sidelobes are an issue

Is the time in tennessee the same as florida

Awave with a frequency of 500 hz is traveling at a speed of 100 m/s.what is the wavelength?