Thinking Like an Engineer: An Active Learning Approach (4th Edition)
4th Edition
ISBN: 9780134639673
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Chapter 16, Problem 22RQ
As part of a team investigating the effect of mass on the oscillation frequency of a spring, you obtain data from three different lab technicians, provided for you in the starter file online.
The data consists of frequency data on three different springs recording the amount of time it takes each spring with different masses attached to oscillate a certain number of times. In this experiment, each technician recorded the time it took for the spring to oscillate 25 times, stored in the variable N in the starter fie.
As part of the analysis, you need to write a program containing the experimental data provided. The data should be converted to make all units consistent. The data should then be passed into a function.
The function should accept three inputs: a
The function should return two matrices. The first matrix should contain the mass measurements (kilograms) in the first column and the period (seconds), or the length of time required for one oscillation for each mass in the second column. The second matrix should contain a calculation of the force applied (newtons) by each mass in the first column and the frequency, the number of oscillations per second, or the inverse of the period (hertz) for each mass measured in the second column.
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Students have asked these similar questions
The complete slide- back and forth motion of a single reciprocating compressor piston completes in a 2-sec period. The volume displacement of the piston though the piston cylinder is 8,902.63 in3. The stiffness of crank is said to be equal to 65.5N/m and the mass of the said piston is at 10kgs.
Obtain the following
1. Plot the graph of the following relationship: A) Position vs Time graph
B) Velocity vs Time C) Acceleration vs Time
Determine the
units of the variable x in each of the
following equations, and specify which
rule you used to determine this. Do not
solve for the numeric value of x. Show
your work beneath the question, or on a
separate sheet of paper.
Example: 315 feet = (32)x²
Rule #1: Both sides of the equal sign must have the same units.
Rule #2: Values that are added or subtracted must have the same units.
Rule #13: Argument of a trig function must be an angle.
Rule #14: Argument of an inverse trig function must have no units.
Rule #5: Exponents must have no units.
x has units of seconds
because of Rule #
1
Context
The needle of a sewing machine makes a repetitive up and down motion which is described by the equation
y(t)=Acos(wt)
To choose the settings of the device that will ensure that the needle successfully pierces the textile, you are asked to model the speed in ? of the needle as a function of time.
Constraints and information
The parameter A represents the range of motion (in m);The parameter w represents the angular frequency. It tells us about the number of back and forth movements that the needle makes per second;The parameter w is given in rad/s, so your calculator absolutely must be in radians mode to do the calculations in this problem;Modelization
Establish the model for the y velocity of the needle as a function of time and the parameters A and w.
Then test your model by calculating the speed in y of the needle at the moment and with the given parameters:
Moment: 4.1 s
Amplitude: 0.012 m
Angular frequency: 17.9 rad/s
Chapter 16 Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
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