Physics College

A woman with mass 50 kg is standing on the rim of a large disk that is rotating at 0.80 rev/s about an axis through its center. The disk has mass 110 kg and radius 4.0 m. Calculate the magnitude of the total angular momentum of the woman–disk system. (Assume that you can treat the woman as a point.)

Answers

Answer 1

Answer:

The angular momentum is  [tex]L = 8440.32 \ kg \cdot m^2 \cdot s^{-1}[/tex]

Explanation:

From the question we are told that

    The mass of the woman is  [tex]m = 50 \ kg[/tex]

     The angular  speed of the rim is  [tex]w = 0.80 \ rev/s = 0.8 * [\frac{2 \pi}{1} ] = 5.024 \ rad \cdot s^{-1}[/tex]

      The mass of the disk is  [tex]m_d = 110 \ kg[/tex]

       The radius of the disk is [tex]r_d = 4.0 \ m[/tex]

The moment of inertia of the disk is mathematically represented as

        [tex]I_D = \frac{1}{2} m_d r^2_d[/tex]

substituting values

          [tex]I_D = \frac{1}{2} * 110 * 4^2[/tex]

          [tex]I_D = 880 \ kg \cdot m^2[/tex]

The moment of inertia of the woman is  

          [tex]I_w = m * r_d^2[/tex]

substituting values

        [tex]I_w = 50 * 4^2[/tex]

       [tex]I_w =800\ kg[/tex]

The moment of inertia of the system (the woman + the large disk ) is  

        [tex]I_t = I_w + I_D[/tex]

substituting values  

      [tex]I_t = 880 +800[/tex]

     [tex]I_t =1680 \ kg \cdot m^2[/tex]

The angular momentum of the system is

      [tex]L = I_t w[/tex]

substituting values  

      [tex]L = 1680 * 5.024[/tex]

      [tex]L = 8440.32 \ kg \cdot m^2 \cdot s^{-1}[/tex]

Related Questions

Other Questions
If f(x) = 2x - 3 and g(x) = x^2 + 3, what is f(x) - g(x)? explain how the voice of the people can be heard within a government that is divided into 3 branches Every organization needs some degree of flexibility and standardization. True False Being overly committed to following rules can harm an organization and keep it from growing. True False Every organization needs either a degree of ________ to adapt to new situations or some degree of ________ to make routine tasks and decisions as efficient and effective as possible. standardization; flexibility culture; vision flexibility; standardization structure; design How many grams of LiNO2 are required to make 250 mL of 0.75 Molarity solution? Find the approximate circumference of a circle with a diameter of 80 yards.251 yards502 yards126 yards25 yards usages of simple present tense and present continuous tense with each example define the general difference between an autotroph and a heterotroph What is the value of x in the equation - 3X+9x+9= 3-37? Which is an example of matter cycling through the bodies of living things?A. Whales swimming in the oceanB. Whales eating planktonC. People visiting the aquariumD. Plankton moving with the tideAnswer: B whales eating plankton When preparing a business message, you should make your writing audience oriented. Audience oriented means a. attempting to get your audience to believe and accept your message. b. writing to solve a problem or convey information. c. presenting ideas clearly but concisely. d. concentrating on looking at the message from the receiver's perspective. Job costing, unit cost, ending work in process. Rowan Company produces pipes for concert-quality organs. Each job is unique. In April 2016, it completed all outstanding orders, and then, in May 2016, it worked on only two jobs, M1 and M2: A B C 1 Rowan Company, May 2016 Job M1 Job M2 2 Direct materials $ 75,000 $ 56,000 3 Direct manufacturing labour 275,000 209,000 Direct manufacturing labour is paid at the rate of $25 per hour. Manufacturing overhead costs are allo- cated at a budgeted rate of $22 per direct manufacturing labour-hour. Only Job M1 was completed in May. Required: 1. Calculate the total cost for Job M1. 2. 1,600 pipes were produced for Job M1. Calculate the cost per pipe. 3. Prepare the journal entry transferring Job M1 to finished goods. 4. What is the ending balance in the Work-in-Process Control account? How does Bellas upbringing influence the way she handled the fire escape collapse? How would this scene be viewed if the author were telling the story from Janes perspective?