In a physics lab experiment for the determination of moment of inertia, a team weighs an object and finds a mass of 2.15 kg. They then hang the object on a pivot located 0.163 m from the object's center of mass and set it swinging at a small amplitude. As two of the team members carefully count 113 cycles of oscillation, the third member measures a duration of 241 s. What is the moment of inertia of the object with respect to its center of mass about an axis parallel to the pivot axis

Answers

Answer 1

Answer:

0.339 kgm²

Explanation:

We know the period of this pendulum, T = 2π√(I/mgh) where I = moment of inertia of the object about the pivot axis, m = mass of object = 2.15 kg, g = acceleration due to gravity = 9.8 m/s² and h = distance of center of mass of object from pivot point = 0.163 m.

Since T = 2π√(I/mgh), making I subject of the formula, we have

I = mghT²/4π²

Now since it takes 241 s to complete 113 cycles, then it takes 241 s/113 cycles to complete one cycle.

So, T = 241 s/113 = 2.133 s

So, Substituting the values of the variables into I, we have

I = mghT²/4π²

I = 2.15 kg × 9.8 m/s² × 0.163 m × (2.133 s)²/4π²

I = 15.63/4π² kgm²

I = 0.396 kgm²

Now from the parallel axis theorem, I = I' + mh² where I' = moment of inertia of object with respect to its center of mass about an axis parallel to the pivot axis

I' = I - mh²

I' = 0.396 kgm² - 2.15 kg × (0.163 m)²

I' = 0.396 kgm² - 0.057 kgm²

I' = 0.339 kgm²

Related Questions

Drag the tiles to the correct boxes to complete the pairs
Match the particles with their characteristics.
subatomic particles with a positive charge
subatomic particles with a negative charge
subatomic particles with no charge
made of atoms
neutrons
electrons
protons
malaria

Answers

Answer:

1. Protons.

2. Electrons.

3. Neutrons.

4. Molecules.

Explanation:

1. Protons: subatomic particles with a positive charge. They are bound together in the nucleus of an atom due to strong nuclear forces.

2. Electrons: subatomic particles with a negative charge. Electrons can be defined as subatomic particles that are negatively charged and as such has a magnitude of -1.

3. Neutrons: subatomic particles with no charge. The negative charge of the electrons cancels the positive charge of the protons.

4. Molecules: they are made of atoms.

Generally, molecules attach on the inside of a mineral to give it shape. Therefore, the molecule of a mineral is a crystal three-dimensional regular structure (arrangement) of chemical particles that are bonded together and determines its shape.

Due to the fact that these molecules are structurally arranged or ordered and are repeated by different symmetrical and translational operations they determine the shape of minerals.

A battery has an emf of ε = 15.0 V. THe terminal voltage of the battery is Vt = 11.6 V when it is delivering P = 20.0 W of power to an external load resistor R. (a) What is the value of R? (b) What is the internal resistance r of the battery?

Answers

AnswerHM???

Explanation:

I dONT KNOW

Other Questions

During each of the past three months, Tyler grewby the following amounts: 1/8in., 3/16in., and 1/4in.What is Tyler's total amount of growth over thesethree months?Answer with supporting work: Project: Earths layers son las 7 de la manana. Me cepillo los dientes. mean in spanish 15. If R is the midpoint of OS, OR = &r - 51 and RS = 3x - 6, find QS. Only answer if right I need help I would need you to tell me the answers to each question (3 questions) Find the area. Simplify your answer. pls help im very stu.pid today Sofia is a criminologist who is performing a study on gangs in Chicago. For the first few weeks, she doesnt talk to any of the gang members. She just follows them in an unmarked car and watches them from afar to gather information. What kind of technique is Sofia using to study this human behavior?A. surveyB. interviewC. experimentD. observation If an object is thrown upward with an initial velocity of 16 ft/s, its height after t seconds is given by h - 16 - 16t^2.Find the maximum height attained by the object. Show your work. A) 0 ftB) -12 itC) 16 ftD) 4 ft Don notices that the side opposite the right angle in a right triangle is always the longest of the three sides. Is this also true of the side opposite the obtuse angle in an obtuse triangle? Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x. An item that was selling for $82.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth. 1. Imagine you work in a steel mill in a large industrial city in England in the late 1800s. You live in a neighborhood with other factory workers and share the same living and working conditions they do. Write a letter to your representative in Parliament expressing your opinions on what the government should do, if anything, about the plight of the English working class during the Industrial Revolution. In your letter, include details about your situation, as well as solutions for problems. Include some of the points below: Working conditions in English factories, the hours you work, opportunities for breaks, the average wages workers are paid, safety on the job, ages of those you work with (including children), health and healthcare, and what you will do when you are too old to work. Types of laws that might be passed to address your concerns, including measures that factory owners should take to improve conditions, or steps the government could take to protect workers and insure better living conditions. Ideas you have for improving urban life such as city planning, technological innovations, sanitation, schools, hospitals, and law enforcement. How the governments actions can affect Englands future, including the health, education, and welfare of its citizens Which sentence about flexible spending accounts (FSAs) is true?O A. The funds in the account remain for as long as you're employed by the company sponsoring the FSA.O B. Contributions are taxed when funds are withdrawn to use on qualifled expenses. C. Contributions are made with pretax dollars. D. There Is no contribution limit. Which best describes a recessive allele?A. Always inherited from a parent when a dominant allele is inherited from the other parent.B. Never inherited from a parent when a dominant allele is inherited from the other parent. C. Only determines phenotype when a dominant allele for the same trait is present.D. Does not determine phenotype when a dominant allele for the same trait is present. Refer to the passage."4. The dictatorship of the proletariat must be the lever for the immediate expropriation of capital and for the abolition of private property in the means of production and their transformation into national property. The nationalization of large-scale industry (nationalization being understood as the abolition of private ownership and transference to the ownership of the proletarian State, to come under the socialist management of the working class) and of its organizing centres, the banks; confiscation of the estates of the large landowners and nationalization of capitalist agricultural production; monopoly of wholesale trade, nationalization of large houses in towns and on large estates; introduction of workers management and centralization of economic functions in the hands of agencies of the proletarian dictatorshipthese are the essential problems of the day.5. In order to safeguard the socialist revolution, to defend it against internal and external enemies, to give aid to other national sections of the fighting proletariat, etc., it is essential to disarm the bourgeoisie and their agents completely, and to arm the proletariat.6. The world situation today demands the closest possible contact between the different sections of the revolutionary proletariat and a complete union of the countries where the socialist revolution has already triumphed.Excerpt from "Invitation to the First Congress of the Communist International explaining the aims and tactics of the newly formed Communist International, 1919The ideals expressed in this passage contributed to the development of which of the following 20th-century events?The collapse of financial markets, resulting in the Great DepressionThe creation of the United Nations as a way to solve international conflictsThe organization of the Warsaw Pact to unite communist countries against their enemiesIndependence for European colonies located throughout Africa and Asia what are resources? Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16 Helllllllp Simplify the expression 43 + 2(3 2). 14 16 66 68 "I said I was sorry, remember? Said it ten thousand times. Give a brother a break, why don't you?" (From the skin I'm in, Chapter 19 page 108.)What does this quote reveal?