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
olchik [2.2K]
3 years ago
12

A 117 kg horizontal platform is a uniform disk of radius 1.61 m and can rotate about the vertical axis through its center. A 62.

5 kg person stands on the platform at a distance of 1.05 m from the center, and a 28.3 kg dog sits on the platform near the person 1.43 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.
Physics
1 answer:
Ivenika [448]3 years ago
8 0

Answer:

I_syst = 278.41477 kg.m²

Explanation:

Mass of platform; m1 = 117 kg

Radius; r = 1.61 m

Moment of inertia here is;

I1 = m1•r²/2

I1 = 117 × 1.61²/2

I1 = 151.63785 kg.m²

Mass of person; m2 = 62.5 kg

Distance of person from centre; r = 1.05 m

Moment of inertia here is;

I2 = m2•r²

I2 = 62.5 × 1.05²

I2 = 68.90625 kg.m²

Mass of dog; m3 = 28.3 kg

Distance of Dog from centre; r = 1.43 m

I3 = 28.3 × 1.43²

I3 = 57.87067 kg.m²

Thus,moment of inertia of the system;

I_syst = I1 + I2 + I3

I_syst = 151.63785 + 68.90625 + 57.87067

I_syst = 278.41477 kg.m²

You might be interested in
A car slows down at -5.00 m/s^2 until it comes to a stop after travelling 15.0 m. How much time did it take to stop?
Xelga [282]
In physics, there are already derived equation that are based on Newton's Law of Motions. The rectilinear motions at constant acceleration have the following equations:

x = v₁t + 1/2 at²
a = (v₂-v₁)/t

where
x is the distance travelled
v₁ is the initial velocity
v₂ is the final velocity
a is the acceleration
t is the time

Now, we solve first the second equation. Since it mentions that the car comes eventually to a stop, v₂ = 0. Then,

-5 = (0-v₁)/t
-5t = -v₁
v₁ = 5t

We use this new equation to substitute to the first one:
x = v₁t + 1/2 at²
15 = 5t(t) + 1/2(-5)t²
15 = 5t² - 5/2 t²
15 = 5/2 t²
5t² = 30
t² = 30/5 = 6
t = √6 = 2.45

Therefore, the time it took to travel 15 m at a deceleration of -5 m/s² is 2.45 seconds.

5 0
3 years ago
Two fans are watching a baseball game from different positions. One fan is located directly behind home plate, 18.3 mfrom the ba
hjlf

Answer:

Δt = 0.315s

Explanation:

To calculate the time difference, in which both fans hear the batterstrike, you first calculate the time which takes the sound to travel the distances to both fans:

t_1=\frac{d_1}{v_s}

t_2=\frac{d_2}{v_s}

d1: distance to the first fan = 18.3 m

d2: distance to the second fan = 127 m

vs: speed of sound = 345 m/s

You replace the values of the parameters to calculate t1 and t2:

t_1=\frac{18.3m}{345m/s}=0.053s\\\\t_2=\frac{127m}{345m/s}=0.368s

The difference in time will be:

\Delta t =t_2-t_2=0.368s-0.053s=0.315s

Hence, the time difference between hearing the sound at the location s of both fans is 0.315s

4 0
3 years ago
A feeling of worry or uneasiness, often triggered by an event with an uncertain outcome is defined as:
juin [17]
The answer is Anxiety. Hope this helps.
4 0
4 years ago
4.
Pie

Answer:

b

Explanation:

it compresses hot air turning into cool air almost like a reverse tornado

3 0
3 years ago
Read 2 more answers
Which of the following is an element
Ilia_Sergeevich [38]
D oxygen i believe is your answer 
5 0
4 years ago
Other questions:
  • Calculate the speed of a 3.5cm sound wave of frequency 8000Hz
    9·2 answers
  • URGENT DUE RN i need help plsssss
    10·1 answer
  • The length and width of a rectangle are 1.82 cm and 1.5 cm respectively. Calculate area of the rectangle and write in correct si
    10·1 answer
  • A transformer connected to a 120-V (rms) ac line is to supply 13,000 V (rms) for a neon sign. To reduce shock hazard, a fuse is
    10·1 answer
  • Select the correct answer.
    7·2 answers
  • A physical proprety of gold is its ?
    8·1 answer
  • ____ are the foundation of psychoanalytic theory.
    11·1 answer
  • The speed of sound is about 343 m/s . The wavelengths humans can hear range from .0017 m/cycle to 17m/cycle . What is the range
    5·1 answer
  • If a 12 kg object's velocity changes from 5 m/s to 10 m/s in 5 s, what amount of force was applied to increase the speed of the
    11·1 answer
  • If work stays the same and the distance is increased, then less force is needed to do the work.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!