3. An accelerometer has a seismic mass of 100 grams and a spring constant of 2x10'...
An accelerometer has a seismic mass of 100 grams and a spring constant of 2x103 N/m Maximum mass displacement is +0.01 m. Calculate: 3. a) The maximum measurable acceleration in g b) The natural frequency of oscillation Figure-1 Level Measurement by Concentric Cylindrical Capacitor
Determine the bandwidth for a seismic instrument employed as an accelerometer having a seismic mass of 0.2 g and a spring constant of 20,000 N/m, with very low damping. Discuss the advantages of a high natural frequency and a low damping ratio. Piezoelectric sensors are well suited for the construction of accelerometers, since they possess these characteristics
A mass m = 3 kg is attached to a spring with spring constant k = 3 N/m and oscillates with simple harmonic motion along the x-axis with an amplitude A = 0.10 m. (a) What is the angular frequency of this oscillation? (b) What is the period T and the frequency f of the oscillation? (c) If the phase constant = 0, write down expressions for the displacement, velocity and acceleration of the mass as a function...
1 to 5 please 1. The motion on a work piece is changing from 0 to 1 meter. AY Oon on a work piece is changing from 0 to 1 meter. A variable linear resistance can be used to measure the signal. The value of this resistance changes from 0 to 2000 S2. A 20 source is available. Develop signal conditioning to provide 0 to 10 V output. 2. To measure the small changes in a work niece, a capacitive-displacement...
13. A damped mass-spring system with mass m, spring constant k, and damping constant b is driven by an external force with frequency w and amplitude Fo. 2662 where, wo is the (a) Show that the maximum oscillation amplitude occurs when w = natural frequency of the system. where, wd is the (b) Show that the maximum oscillation amplitude at that frequency is A = frequency of the undriven, damped system.
Q4: Bellows, diaphragm, and Bourdon tube pressure sensors all exhibit second-order time response. This means that a sudden change in pressure will cause an oscillation in the displacement and, therefore, in sensor output. Because they are like springs, they have an effective spring constant and mass, so the frequency can be estimated by the following Equation: ??=12?√?? Where fN= natural frequency in Hz k= spring constant in N/m m= seismic mass in kg Consider a bellows with an effective spring...
Part A: 10 points each (Questions 1-4) 1. A block mass of 3 kg attached with a spring of spring constant 2000 N/m as shown in the Figure below. The amplitude or maximum displacement Xmax is 5m. Calculatea) Maximum Potential energy stored in the spring b) Maximum kinetic energy of the block c) the total energy-spring block system 2. A small mass moves in simple harmonic motion according to the equation x = 2 Cos(45t), where "x" displacement from equilibrium point in meters and "t"...
A mass on a spring has an angular oscillation frequency of 2.81 rad/s. The mass has a maximum displacement (when t = 0 s) of 0.232 m. If the spring constant is 29.8 N/m, what is the potential energy stored in the mass-spring system when t = 1.42 s? I know the answer is .350J but not sure how to get there
A mass on a spring has an angular oscillation frequency of 2.81 rad/s. The mass has a maximum displacement (when t = 0 s) of 0.232 m. If the spring constant is 25 N/m, what is the potential energy stored in the mass-spring system when t = 1.42 s? How long will it take the mass to pass through the equilibrium position for the 7th time?
Problem 3-Under the ambient condiion, one can use the oscillation frequency of a spring-mass system to determine the mass suspended at the end of a spring using equation where f if the frequency of oscillation in the unit of s1, k is the spring constant in the unit of N/m, and m is the mass of the oscillating object in the unit of kg. The spring constant k is obtained by suspending an object of known mass mo under the...