An electric motor of mass *D* kg is supported by springs of total effective stiffness 100...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
An electric motor of mass *D* kg is supported by springs of total effective stiffness 100 N/m and negligible damping. It is operating at 1600 rpm. a) Given that the motor has an unbalance equivalent to a mass of 10 g a distance of 50 mm from the axle, show that there is a driving force amplitude of oscillation of 14 N. b) Calculate the natural angular frequency of the motor in rad/s. [2 marks] c) By comparing the operating frequency of the motor to its natural frequency, what does this tell us about the amplitude of oscillations of the motor and the phase between the displacement of the motor and the driving force (without further calculation)? Max. 100 words. [2 marks] Suppose now that the motor is set to operate at a much lower rate of 400 rpm for the rest of this question. d) Calculate the resulting amplitude of oscillation of the motor. [4 marks] e) To avoid damage to surrounding components, the amplitude of oscillation must be kept to 4 mm. Calculate the minimum damping constant of a damper that should be added to the motor support to comply with this requirement. f) Calculate the phase angle by which the displacement lags the driving force? [3 marks] g) Calculate the magnitude of the force transmitted to the surrounding structure and the transmissibility. h) Calculate the phase angle between the transmitted force and the driving force. i) Calculate the phase angle between the driving force and the transmitted force. [4 marks] [3 marks] [3 marks] [2 marks] An electric motor of mass *D* kg is supported by springs of total effective stiffness 100 N/m and negligible damping. It is operating at 1600 rpm. a) Given that the motor has an unbalance equivalent to a mass of 10 g a distance of 50 mm from the axle, show that there is a driving force amplitude of oscillation of 14 N. b) Calculate the natural angular frequency of the motor in rad/s. [2 marks] c) By comparing the operating frequency of the motor to its natural frequency, what does this tell us about the amplitude of oscillations of the motor and the phase between the displacement of the motor and the driving force (without further calculation)? Max. 100 words. [2 marks] Suppose now that the motor is set to operate at a much lower rate of 400 rpm for the rest of this question. d) Calculate the resulting amplitude of oscillation of the motor. [4 marks] e) To avoid damage to surrounding components, the amplitude of oscillation must be kept to 4 mm. Calculate the minimum damping constant of a damper that should be added to the motor support to comply with this requirement. f) Calculate the phase angle by which the displacement lags the driving force? [3 marks] g) Calculate the magnitude of the force transmitted to the surrounding structure and the transmissibility. h) Calculate the phase angle between the transmitted force and the driving force. i) Calculate the phase angle between the driving force and the transmitted force. [4 marks] [3 marks] [3 marks] [2 marks]
Expert Answer:
Answer rating: 100% (QA)
a To find the driving force amplitude of oscillation we can use the formula Amplitude of driving force unbalance mass angular velocity distance from ... View the full answer
Related Book For
Practical Management Science
ISBN: 978-1305250901
5th edition
Authors: Wayne L. Winston, Christian Albright
Posted Date:
Students also viewed these finance questions
-
Bushworks Ltd convert synthetic slabs into components AX and BX for use in the car industry. Bushworks Ltd is planning a quality management programme at a cost of 250 000. The following information...
-
The Scholastic Assessment Test (SAT) is standardized to be normally distributed with a mean = 500 and a standard deviation = 100. What percentage of SAT scores falls a. between 500 and 600? b....
-
The outside diameter of a part used in a gear assembly is known to be normally distributed with a mean of 40 mm and standard deviation of 2.5 mm. The specifications on the diameter are (36,45), which...
-
1. You are the audit partner in charge of five audits which have recently been completed. You are reviewing the files and you now only have to decide which form of audit report you will sign off....
-
Determine the reactions at the beam supports for the given loading. 30 Ih/t -1.5 ft--- 4.5ft
-
Discuss the scenario below, as to whether a riskless opportunity exists in the FX market and how to capitalise the opportunity. Suppose that you can borrow 21 million today. Assume that the current...
-
Correlation between Residuals and Explanatory Variables. Consider a generic sequence of pairs of numbers \(\left(x_{1}, y_{1} ight), \ldots,\left(x_{n}, y_{n} ight)\) with the correlation coefficient...
-
In college basketball, a turnover is defined as losing possession of the basketball to the opposing team. During a recent basketball season, the Villanova Wildcats averaged 13 turnovers per game....
-
Suggest one best practice recommendation for backbone design and explain why it's a best practice.
-
FeVer Beverages is a typical coffee shop that operates at Batangas. Recently, the general manager is facing a challenge about not meeting their target lead time of serving the hot coffee of 15...
-
Assume that after getting your Bachelor's degree in Higher College of Technology you wanted to pursue your Master's degree which University of Stanford is offering the program for 3 years. And you...
-
True Or False To prove private nuisance, a plaintiff must show that the defendants conduct was intentional, negligent, or abnormally dangerous.
-
The special-injury requirement for private nuisance a. operates as a barrier to many plaintiffs who want to bring claims as a result of environmental hazards. b. can be met by showing that the...
-
True Or False With strict liability, a defendant can be found liable even if they adhered to an objective standard of care.
-
What defenses can be raised in a strict liability case?
-
True Or False Proving lack of probable cause in a maliciousprosecution case is automatic if the plaintiff is acquitted.
-
1. Find the current through resistor a ) in the figure. (Figure 1) Express your answer to two significant figures and include the appropriate units. 2. Find the potential difference across resistor a...
-
Before the latest financial crisis and recession, when was the largest recession of the past 50 years, and what was the cumulative loss in output over the course of the slowdown?
-
The first (R,Q) model in this section assumes that the total shortage cost is proportional to the amount of demand that cannot be met from on-hand inventory. Similarly, the second model assumes that...
-
How would you use cluster analysis to help test market a consumer goods product?
-
The Smalltown Credit Union experiences its greatest congestion on paydays from 11:30 A.M. until 1:00 P.M. During these rush periods, customers arrive according to a Poisson process at rate 2.1 per...
-
For the particular case of hard spheres, the pressure in the virial equation of state is determined by evaluating the pair correlation function at contact. Write the pair correlation function as...
-
Use a virial expansion approach to determine the first few nontrivial order contributions to the pair correlation function \(g(r)\) in \(d\) dimensions. Show that the pair correlation function is of...
-
Show that, in the case of a degenerate gas of fermions \(\left(T \ll T_{F} ight)\), the correlation function \(g(r)\), for \(r \gg \hbar / p_{F}\), reduces to the expression \[g(r)-1=-\frac{3(m k...
Study smarter with the SolutionInn App