1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
victus00 [196]
3 years ago
9

Suppose we want to calculate the moment of inertia of a 56.5 kg skater, relative to a vertical axis through their center of mass

.
Required:
a. First calculate the moment of inertia (in kg-m^2) when the skater has their arms pulled inward by assuming they are cylinder of radius 0.11 m.
b. Now calculate the moment of inertia of the skater (in kg-m^2) with their arms extended by assuming that each arm is 5% of the mass of their body. Assume the body is a cylinder of the same size, and the arms are 0.875 m long rods extending straight out from their body being rotated at the ends.
Physics
1 answer:
kirza4 [7]3 years ago
5 0

Answer:

a. 0.342 kg-m² b. 2.0728 kg-m²

Explanation:

a. Since the skater is assumed to be a cylinder, the moment of inertia of a cylinder is I = 1/2MR² where M = mass of cylinder and r = radius of cylinder. Now, here, M = 56.5 kg and r = 0.11 m

I = 1/2MR²

= 1/2 × 56.5 kg × (0.11 m)²

= 0.342 kgm²

So the moment of inertia of the skater is

b. Let the moment of inertia of each arm be I'. So the moment of inertia of each arm relative to the axis through the center of mass is (since they are long rods)

I' = 1/12ml² + mh² where m = mass of arm = 0.05M, l = length of arm = 0.875 m and h = distance of center of mass of the arm from the center of mass of the cylindrical body = R/2 + l/2 = (R + l)/2 = (0.11 m + 0.875 m)/2 = 0.985 m/2 = 0.4925 m

I' = 1/12 × 0.05 × 56.5 kg × (0.875 m)² + 0.05 × 56.5 kg × (0.4925 m)²

= 0.1802 kg-m² + 0.6852 kg-m²

= 0.8654 kg-m²

The total moment of inertia from both arms is thus I'' = 2I' = 1.7308 kg-m².

So, the moment of inertia of the skater with the arms extended is thus I₀ = I + I'' = 0.342 kg-m² + 1.7308 kg-m² = 2.0728 kg-m²

You might be interested in
You run away from a plane mirror at 1.80 m/s. At what speed does your image move away from you?
Vlad [161]

Answer:

3.60m/s

.................

4 0
3 years ago
If Juan upgrades from a sports car to a large truck, what will happen to the
vovikov84 [41]

Answer:

The force will have to increase

Explanation:

Since Juan has upgraded from a sports car to a large truck, based on Newton's second law of motion, the force needed to keep the truck going at the same speed will have to increase.

 According to Newton's second law "the force on an object is equal to the product of its mass and acceleration".

       Force  = mass x acceleration

A truck has a larger mass compared to a sports car.

By virtue of this, to make sure both automobiles attain the same speed, the force powering them to accelerate must be the same.

 Therefore, the force from the engine must increase.

4 0
3 years ago
Which part of the microscope is the circular area on the stage that light passes through?
patriot [66]

Answer: The part of the microscope that is the circular area is the APERTURE

I hope this helped!

6 0
1 year ago
Can someone please help me with this assignment, this is due today
tigry1 [53]

Answer:

did you get it done if not lmk I will help you out tomorrow when I get up

8 0
2 years ago
If a space rover has a mass of 3900 kg on Earth, then what is
storchak [24]
390, the force of gravity is 10 N on Earth, so you would divide 3900 by 10
4 0
2 years ago
Other questions:
  • The angular width of localizers varies between ______ and ______ degrees in order to provide a signal width of approximately 700
    8·1 answer
  • Why did the magnitude of the doppler shift increase as the velocity of the sound source increased?
    5·2 answers
  • Compared to the earth would the sun appear to move more quickly across Mercury’s sky or more slowly? Why?
    13·1 answer
  • Power is the product of_____.
    12·1 answer
  • During a drive by golfer Tiger Woods, the angular velocity of his club is zero at the top of his backswing and 30 rad/s at the b
    6·1 answer
  • If we want to know the velocity that an object is traveling, we must know the
    9·2 answers
  • The discoverer of radioactivity was
    14·2 answers
  • Define Velocity.<br>Have a Nice Day Ahead​
    5·1 answer
  • What is the name of the upward force<br> exerted on a boat in water?
    6·2 answers
  • Please answer all three answers
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!