Dr. Sheldon Cooper is the quality control engineer at a harmonic spring factory. He is tasked...
Dr. Sheldon Cooper is the quality control engineer at a harmonic spring factory. He is tasked with testing the natural frequency of a simple oscillating mass-spring system: f=1/2π √(k/m) where: f is the natural frequency in Hz k is the spring constant in N/m m is the mass in kg Dr. Cooper is trying to decide which set of sensors he should purchase. Sensor Option A Sensor Option B Mass Range: Accuracy: to 0.10 kg ± 2.0% Full Scale Range: Accuracy: 0.00 to 0.20 kg ± 4.0% of the reading Spring Constant Range: Accuracy: 0.0 to 25.0 N/m ± 0.2 N/m Range: Accuracy: to 40.0 N/m ± 0.1 N/m Assuming that the average device has a mass of 0.07 kg and a spring constant is 20 N/m. Which sensor option would you recommend to Sheldon? Justify your answer with appropriate calculations.
Homework Answers
Add Answer to:
Dr. Sheldon Cooper is the quality control engineer at a harmonic
spring factory. He is tasked...
Q4: Bellows, diaphragm, and Bourdon tube pressure sensors all exhibit second-order time response. This means that...
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...
Problem 3-Under the ambient condiion, one can use the oscillation frequency of a spring-mass system to...
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...
2&3 please 11B-Lab Report: Driven Harmonic Motion - Mass on a Spring Name: Data Item Value...
2&3 please
11B-Lab Report: Driven Harmonic Motion - Mass on a Spring Name: Data Item Value Spring constant, k 3.78 N/M Sitheldr 61/n116 Mass of spring .009 kg Suspended mass Total mass (suspended mass+ 1/3 spring mass) 073 k Use your measured value for the spring constant, "k", and the total mass, "m", to calculate the theoretical natural frequency of oscillation for the mass-spring system. Record the frequency. k 1 1 2T Vm T Theoretical Natural Frequency 1.15 Hz Questions...
2. Calculate the EOM (using Newtons 2nd law) and the natural frequency of the spring-mass system shown below. Each...
2. Calculate the EOM (using Newtons 2nd law) and the natural frequency of the spring-mass system shown below. Each mass is m-5 kg and the linear elastic spring has a constant k 325 N/m.
2. Calculate the EOM (using Newtons 2nd law) and the natural frequency of the spring-mass system shown below. Each mass is m-5 kg and the linear elastic spring has a constant k 325 N/m.
5) A damped simple harmonic oscillator consists of a.40 kg mass oscillating vertically on a spring...
5) A damped simple harmonic oscillator consists of a.40 kg mass oscillating vertically on a spring with k- 15 N/m with a damping coefficient of .20 kg/s. The spring is initially stretched 17 cm downwards and the mass is released from rest. a) What is the angular frequency of the mass? b) What is the position of the mass at t-3 seconds? c) Sketch a position vs time graph for the mass, showing at least 5 full cycles of oscillation....
Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the s...
Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the spring is stretched 1 m beyond its natural length and given an initial velocity of 1 m/sec back towards its equilibrium position. Find the circular frequency ω, period T, and amplitude A of the motion. (Assume the spring is stretched in the positive direction.) A 7 kg mass is attached to a spring with constant k 112 N m. Given...
3.) An oscillating block-spring system has a mechanical energy of 1 J, an amplitude of 10...
3.) An oscillating block-spring system has a mechanical energy of 1 J, an amplitude of 10 cm and a maximum speed of 1.2 m/s. Find (a) the spring constant (b) the mass of the block and (c) the frequency of oscillation. [200 N/m; 1.39 kg; f#1.91 Hz
A 0.82 kg mass is attached to the end of a spring and set into oscillation...
A 0.82 kg mass 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 passes through the equilibrium position and the position of the mass at any time is shown in the drawing. Determine the following. amplitude A of the motion m angular frequency omega rad/s spring constant k N/m speed of the object at t=...
A mass m = 2.35 kg is at the end of a horizontal spring on a frictionless horizontal surface
A mass m = 2.35 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 2.5 cm and a frequency f = 1.55 Hz. Part (a) Write an equation for the spring constant kPart (b) Calculate the spring constant k, in Newtons per meter Part (c) Write an equation for the total mechanical energy, E. of the motion. Your expression should be in terms of the variables in the...
A simple harmonic oscillator consists of a block attached to a spring, moving back and forth...
A simple harmonic oscillator consists of a block attached to a
spring, moving back and forth on a frictionless horizontal surface.
Suppose the mass of the box is 5.0 kg. The motion is started by
holding the box at 0.50 m from its central position, using a force
of 40.0 N. Then the box is let go and allowed to perform simple
harmonic motion.
(a) What is the amplitude of the motion?
(b) What is the spring constant k?
(c)...
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...
2&3 please
11B-Lab Report: Driven Harmonic Motion - Mass on a Spring Name: Data Item Value Spring constant, k 3.78 N/M Sitheldr 61/n116 Mass of spring .009 kg Suspended mass Total mass (suspended mass+ 1/3 spring mass) 073 k Use your measured value for the spring constant, "k", and the total mass, "m", to calculate the theoretical natural frequency of oscillation for the mass-spring system. Record the frequency. k 1 1 2T Vm T Theoretical Natural Frequency 1.15 Hz Questions...
2. Calculate the EOM (using Newtons 2nd law) and the natural frequency of the spring-mass system shown below. Each mass is m-5 kg and the linear elastic spring has a constant k 325 N/m.
2. Calculate the EOM (using Newtons 2nd law) and the natural frequency of the spring-mass system shown below. Each mass is m-5 kg and the linear elastic spring has a constant k 325 N/m.
5) A damped simple harmonic oscillator consists of a.40 kg mass oscillating vertically on a spring with k- 15 N/m with a damping coefficient of .20 kg/s. The spring is initially stretched 17 cm downwards and the mass is released from rest. a) What is the angular frequency of the mass? b) What is the position of the mass at t-3 seconds? c) Sketch a position vs time graph for the mass, showing at least 5 full cycles of oscillation....
Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the spring is stretched 1 m beyond its natural length and given an initial velocity of 1 m/sec back towards its equilibrium position. Find the circular frequency ω, period T, and amplitude A of the motion. (Assume the spring is stretched in the positive direction.) A 7 kg mass is attached to a spring with constant k 112 N m. Given...
3.) An oscillating block-spring system has a mechanical energy of 1 J, an amplitude of 10 cm and a maximum speed of 1.2 m/s. Find (a) the spring constant (b) the mass of the block and (c) the frequency of oscillation. [200 N/m; 1.39 kg; f#1.91 Hz
A 0.82 kg mass 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 passes through the equilibrium position and the position of the mass at any time is shown in the drawing. Determine the following. amplitude A of the motion m angular frequency omega rad/s spring constant k N/m speed of the object at t=...
A simple harmonic oscillator consists of a block attached to a
spring, moving back and forth on a frictionless horizontal surface.
Suppose the mass of the box is 5.0 kg. The motion is started by
holding the box at 0.50 m from its central position, using a force
of 40.0 N. Then the box is let go and allowed to perform simple
harmonic motion.
(a) What is the amplitude of the motion?
(b) What is the spring constant k?
(c)...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago