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
WITCHER [35]
3 years ago
12

As an ice skater begins a spin, his angular speed is 3.14 rad/s. After pulling in his arms, his angular speed increases to 5.94

rad/s. Find the ratio of teh skater's final momentum of inertia to his initial momentum of inertia.
Physics
1 answer:
lapo4ka [179]3 years ago
7 0

Answer:

I₂/I₁ = 0.53

Explanation:

During the motion the angular momentum of the skater remains conserved. Therefore:

Angular Momentum of Skater Before Pulling Arms = Angular Momentum of Skater After Pulling Arms

L₁ = L₂

but, the formula for angular momentum is:

L = Iω

Therefore,

I₁ω₁ = I₂ω₂

I₂/I₁ = ω₁/ω₂

where,

I₁ = Initial Moment of Inertia

I₂ = Final Moment of Inertia

ω₁ = Initial Angular Velocity = 3.14 rad/s

ω₂ = Final Angular velocity = 5.94 rad/s

Therefore,

I₂/I₁ = (3.14 rad/s)/(5.94 rad/s)

<u>I₂/I₁ = 0.53</u>

You might be interested in
The 4.0 -kg head of an ax is moving at 3 m/s when it strikes a log and penetrates 0.01m into the log. What is the average force
Elina [12.6K]

Answer:

the average force the blade exerts on the log is 1791.05 N.

Explanation:

Given;

mass of the ax head, m = 4 kg

speed of the ax, v = 3 m/s

depth traveled into the log, d = 0.01 m

The time to traveled through the depth;

s = (\frac{u+v}{2} )t\\\\0.01 =  (\frac{0+3}{2} )t\\\\0.01 = 1.5t\\\\t = \frac{0.01}{1.5} \\\\t = 0.0067 \ s

The average force the blade exerts on the log;

F = ma=\frac{mv}{t} = \frac{4 \times 3}{0.0067} = 1791.05 \ N \\\\

Therefore, the average force the blade exerts on the log is 1791.05 N.

5 0
3 years ago
The 500 series bullet train travels between Tokyo and Hakata, Japan. If it is heading north with a momentum of 13,194,098.64 kg
Hitman42 [59]

Answer:

The mass of the 500 series bullet train is 181.4 tonnes.

Explanation:

The momentum is given by:

p = mv

Where:

m: is the mass =?

v: is the velocity = 261.8 km/h

p: is the momentum = 13194098.64 kg*m/s

By solving the above equation for "m" we have:

m = \frac{p}{v} = \frac{13,194,098.64 kg*m/s}{261.8 km/h*\frac{1000 m}{1 km}*\frac{1 h}{3600 s}} = 181.4 tonnes

Therefore, the mass of the 500 series bullet train is 181.4 tonnes.

I hope it helps you!                

5 0
2 years ago
In which one or more of the following is the earth assumed to be the center of the universe?
sladkih [1.3K]
Can you put the answers, if there are any?
Once you do, Ill respond with a answer asap!
:)
4 0
2 years ago
Read 2 more answers
1 poir
djverab [1.8K]

Answer:

D) 735 J(oules)

Explanation:

Work is defined as force * distance

Force is defined as mass * acceleration

Given a mass of 15 kg and a gravitational acceleration of 9.8 m/s² since the box is being lifted up, the force being applied to the box is 15 kg * 9.8 m/s² = 147 N

Since the distance is 5 meters, the work done is 147 N * 5 m = 735 N/m = 735 J, making D the correct answer.

4 0
3 years ago
When the temperature of the air is 25 degress C, the velocity of a sound wave traveling through the air is approximately
dusya [7]
Assuming an ideal gas, the speed of sound depends on temperature 
only.   Air is almost an ideal gas. 

Assuming the temperature of 25°C in a "standard atmosphere", the 
density of air is 1.1644 kg/m3, and the speed of sound is 346.13 m/s. 

The velocity can't be specified, since the question gives no information 
regarding the direction of the sound.
6 0
3 years ago
Other questions:
  • un serbatoio d'acqua di forma cilindrica è riempito con acqua dolce fino a un livello di 6,40 m calcola la pressione dell'acqua
    8·1 answer
  • How to breath??? pls explain
    5·1 answer
  • Cube A has a volume of 2cm x 2cm x 2cm. what is its density
    10·1 answer
  • If a marathon runner averages 9.51 mi/hr, how long does it take him to run a 26.220-mile marathon. Express your answers in hours
    8·1 answer
  • A book is on the table. If the weight of the book is 25 newtons, what is the magnitude and direction of the normal force?
    15·2 answers
  • A ball is thrown upward at a velocity of 19.6 m/s. What is its velocity after 3.0, assuming negligible air resistance?
    6·2 answers
  • A golf ball is hit with an initial velocity of 15 meters per second at an angle of 35 degrees above horizontal. What is the vert
    8·1 answer
  • How does an octopus or a squid uses Newton's third law of motion to escape from enemies
    6·1 answer
  • is there difference if you pull a block down a hill or if you push a block down a hill. Or if you push a block up a hill or pull
    10·1 answer
  • What is the wavelength of an electromagnetic wave?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!