problem 2 (25 pts) design a low pass butterworth filter to remove high frequency noise from a signal with a nyquist frequency of 1000 hz meeting the following design requirements: 1. the dynamic error to be less than 0.01 at 500 hz or lower frequencies and 2. the attenuation at 4.5 khz or higher frequencies to be at least 25 db the filter cutolt frequency is to be 1500 hz. take the source and load impedances as 50 n. part a) 10 pts find the order of the butterworth filter required lo mcet the above design criteria. part b) 10 pts find the values of the capacitors and inductors required to construct the filter and draw a circuit dingram of the filter. part c) 5 pts at what lowest frequency this signal must be sampled so that signal aliasing is avoided

Aflywheel accelerates for 5 seconds at 2 rad/s2 from a speed of 20 rpm. determine the total number of revolutions of the flywheel during the period of its acceleration. a.5.65 b.8.43 c. 723 d.6.86

Ahot wire operates at a temperature of 200°c while the air temperature is 20°c. the hot wire element is a tungsten wire of 5 um diameter and 2 mm in length. plot using excel current, heat transfer and heat generated by the wire for air velocity varying from 1-10 m/s in steps of lm/s? matlab the sensor voltage output, resistance, or assume nu 0.989 re033pr13 take air properties at tr (200°c20°c)/2 = 110°c properties of tungsten: c 0.13 kj/kg.k 3 p 19250 kg/m k (thermal conductivity) = 174 w/m.k

Tom is having a problem with his washing machine. he notices that the machine vibrates violently at a frequency of 1500 rpm due to an unknown rotating unbalance. the machine is mounted on 4 springs each having a stiffness of 10 kn/m. tom wishes to add an undamped vibration absorber attached by a spring under the machine the machine working frequency ranges between 800 rpm to 2000 rpm and its total mass while loaded is assumed to be 80 kg a) what should be the mass of the absorber added to the machine so that the natural frequency falls outside the working range? b) after a first trial of an absorber using a mass of 35 kg, the amplitude of the oscillation was found to be 10 cm. what is the value of the rotating unbalance? c) using me-3.5 kg.m, find the optimal absorber (by minimizing its mass). what would be the amplitude of the oscillation of the absorber?