A heavy flywheel rotating at n revolutions per minute is rigidly attached to the end of a
Question:
(Let L = length of the shaft, G = shear modulus of elasticity, and Im = mass moment of inertia of the flywheel about the axis of the shaft. Also, disregard friction in the bearings at B and C and disregard the mass of the shaft.)
Equate the kinetic energy of the rotating flywheel to the strain energy of the shaft
n (rpm)
Step by Step Answer:
d diameter n rpm KINETIC ENERGY OF FL...View the full answer
Related Video
Static friction and kinetic friction are two types of friction that occur when two objects are in contact with each other. Static friction is the force that must be overcome to initiate motion between two surfaces that are in contact with each other but are not moving relative to each other. It is caused by the interlocking of rough surfaces at the microscopic level, and it increases as the force pushing the surfaces together increases. Once motion between the surfaces starts, the static friction is no longer present. Kinetic friction, also known as sliding friction, is the force that opposes the motion of two surfaces that are in contact with each other and are moving relative to each other. It is caused by the rubbing of the surfaces against each other and the resistance of the molecules in the surfaces to being moved. Kinetic friction is generally less than static friction, but it can still be a significant force, especially at high speeds. Both static and kinetic friction can be quantified using a coefficient of friction, which is a dimensionless number that represents the ratio of the frictional force between two surfaces to the normal force (the force perpendicular to the surfaces). The coefficient of static friction is typically greater than the coefficient of kinetic friction for a given pair of surfaces, because it takes more force to overcome the interlocking of the surfaces at rest than to maintain motion once it has started.
Students also viewed these Mechanics questions
-
A heavy flywheel rotating on its central axis is slowing down because of friction in its bearings. At the end of the first minute of slowing, its angular speed is 0.900 of its initial angular speed...
-
This problem illustrates that the strength of a machine part can sometimes be measured in units other than those of force or moment. For example, the maximum speed that a flywheel can reach without...
-
The 4.00-kg block in Figure is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in the diagram and the tension...
-
Thomas Gilbert and Susan Bradley formed a professional corporation called Financial Services Inc.A Professional Corporation, each taking 50 percent of the authorized common stock. Gilbert is a CPA...
-
What is the sales volume variance?
-
Car drives on a level circular track. Radius of curve is 2 0 meters. Coefficent of friction between car and ground is 0 . 2 . What is the highest velocity the car can drive and stay on the track...
-
How does an auditor verify recorded shareholders' equity balances?
-
The following set of seven jobs is to be processed through two work centers at George Heinrichs printing company. The sequence is first printing, then binding. Processing time at each of the work...
-
Betty Inc. operated at 100% of capacity during its first month and provided following information: Number of units produced: 20,000 Production costs (20,000 units): Total costs Unit costs Direct...
-
Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 6 in. /sec, which is decreasing at the rate of 2 in. /sec every...
-
A hollow circular tube A fits over the end of a solid circular bar B, as shown in the figure. The far ends of both bars are fixed. Initially, a hole through bar B makes an angle ( with a line through...
-
A solid circular bar of copper (G = 45 GPa) with length L = 0.75 m and diameter d = 40 mm is subjected to pure torsion by torques T acting at the ends (see figure). (a) Calculate the amount of strain...
-
How many moles of acetyl CoA are produced by catabolism of the following substances? (a) 1.0 mol glucose (b) 1.0 mol palmitic acid (c) 1.0 mol maltose
-
In 2023, an article in the Economist noted that the value of the Pakistani rupee had weakened against the U.S. dollar. a. When the rupee weakens against the U.S. dollar, does it take more rupees to...
-
In 2023, an article on bloomberg.com discussed a study by Erik Brynjolfsson of Stanford University and Danielle Li and Lindsey Raymond of MIT. The study found that giving customer support agents...
-
An article in the Wall Street Journal in 2023 about bitcoin observed, Cryptos extreme price swings are risky for everyday investors. The article also notes, Some individual investors enduring...
-
During the second quarter of 2020, real inventories declined by $274 billion, by far the largest decline on record. During the third quarter of 2020, real GDP increased by 35 percent, by far the...
-
In 2023, many firms began using sophisticated artificial intelligence (AI) programs, such as Chat GPT, called chatbots. For example, an article in the Wall Street Journal discussed the use of...
-
What is the difference between a linear and a nonlinear cost function? Give an example of each type of cost function.
-
Assume today is the 21st of February. Using the information below, FT Extract, answer the following questions (parts i and ii). You work for a US company that is due to receive 250 million in June...
-
The principal plane stresses and associated strains in a plane at a point are 1 = 36 ksi, 2 = 16 ksi, 1 = 1.02(10 -3 ), 2 = 0.180(10 -3 ). Determine the modulus of elasticity and Poissons ratio.
-
A rod has a radius of 10 mm. If it is subjected to an axial load of 15 N such that the axial strain in the rod is x = 2.75(10 -6 ), determine the modulus of elasticity E and the change in the rods...
-
The polyvinyl chloride bar is subjected to an axial force of 900 lb. If it has the original dimensions shown, determine the change in the angle u after the load is applied. E pvc = 800(10 3 ) psi,...
-
SWOT Analysis for Prime Org Strengths . . Powerful brand identity Strong product promotion by celebrities and influencers Robust distribution network Strong customer support Innovation and Product...
-
You are a consultant specializing in L & D, and you have been retained by one of the hotels of Small Ski Resort, a small, traditional ski resort in German speaking Switzerland that has been catering...
-
Imagine that you have been tasked with finding a new CRM software system for your organization. Please research online and identify at least two options you recommend. A few items to include within...
Study smarter with the SolutionInn App