Question: 34. An accelerometer is measuring a structure as described below: Highest frequency measured, f = 300 hz Seismic mass, m = 0.0045 kg Accelerometer spring
34. An accelerometer is measuring a structure as described below: Highest frequency measured, f = 300 hz Seismic mass, m = 0.0045 kg Accelerometer spring coefficient, k = 120,000 N/m Accelerometer damping coefficient: c = 31 N-sec/m What is the percentage error in the accelerometer at the highest frequency measured? ((Type in two-decimal number, where this number represents a percentage. e.g. type 2.45 if you mean 2.45%).35. You are using the Analog Devices ADXL1001 accelerometer with the specifications given by this screenshot 4 points below. You are using the accelerometer at the nominal ambient temperature of 25C. Therefore, you can ignore errors due to ambient temperature. However, you need to calculate the error in g's due to + Spurious accelerations on the Y and Z axes (i.e. cross axis sensitivity) Response error due to frequency measured + Response error due to lack of perfect linearity in the response curve Other data, not on the spec sheet, is given here in this table. X Axis Acceleration voltage measured, V, = 1000 mV Y Axis Acceleration, a, = 6 g's Z Axis Acceleration voltage, a, = 4 g's Acceleration frequency on all 3 axes, f = 3500 hz Damping Ratio, (= 0.65 SPECIFICATIONS TA = 25 C, V DD = 5.0 V, acceleration = 0 g, unless otherwise noted. Table 1. Test Conditions/ ADXL1001 ADXL1002 Parameter Comments Min Typ Max Min Typ Max Unit SENSOR Measurement Range #100 +50 Linearity Percentage of full #0.1 #0.1 ER scale Cross Axis Sensitivity ZX cross axis $1.0 +1.0 YX cross axis #1.0 #1.0 SENSITIVITY (RATIOMETRIC TO VDO) Sensitivity DC 20 40 mv/g Sensitivity Change Due to TA =-40"C to +125"C +5 +5 Temperature ZERO g OFFSET (RATIOMETRIC TO VDO) 0g Output Voltage Voo/2 VOD/2 0g Output Range over -40"C to +125"C 5 5 Temperature* NOISE Noise Density 100 Hz to 10 kHz 30 25 ug/VHz 1/f Frequency Corner 0.1 0.1 Hz FREQUENCY RESPONSE Sensor Resonant Frequency 21 21 KHz 5% Bandwidth 4.7 4.7 KHz 3 dB Bandwidth* 11 KHz SELF TEST Output Change (Ratiometric to Von) |ST low to ST high 235 275 510 545 mV Input Level High, VH V DD X0.7 VDO X 0.7 Low, VE VDO X 0.3 VOD X 03 Input Current 25 25 LA OUTPUT AMPLIFIER Short-Circuit Current 3 3 MA Output Impedance E POWER SUPPLY (V,.) Operating Voltage Range Quiescent Supply Current Standby Current Standby Recovery Time (Standby to | Output settled to 1% Measure Mode) of final value Turn On Time'
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