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
Nataliya [291]
3 years ago
15

A 0.5 m diameter wagon wheel consists of a thin rim having a mass of 7 kg and six spokes, each with a mass of 1.2 kg. 1.2 kg 7 k

g 0.5 m Find the moment of inertia of the wagon wheel for rotation about its axis. Answer in units of kg · m2 .
Physics
1 answer:
Arte-miy333 [17]3 years ago
4 0

Explanation:

It is given that,

Mass of the rim of wheel, m₁ = 7 kg

Mass of one spoke, m₂ = 1.2 kg

Diameter of the wagon, d = 0.5 m

Radius of the wagon, r = 0.25 m

Let I is the the moment of inertia of the wagon wheel for rotation about its axis.

We know that the moment of inertia of the ring is given by :

I_1=m_1r^2

I_1=7\times (0.25)^2=0.437\ kgm^2

The moment of inertia of the rod about one end is given by :

I_2=\dfrac{m_2l^2}{3}

l = r

I_2=\dfrac{m_2r^2}{3}

I_2=\dfrac{1.2\times (0.25)^2}{3}=0.025\ kgm^2

For 6 spokes, I_2=0.025\times 6=0.15\ kgm^2

So, the net moment of inertia of the wagon is :

I=I_1+I_2

I=0.437+0.15=0.587\ kgm^2

So, the moment of inertia of the wagon wheel for rotation about its axis is 0.587\ kgm^2. Hence, this is the required solution.

You might be interested in
Two asteroids identical to those above collide at right angles and stick together; i.e, their initial velocities were perpendicu
11111nata11111 [884]

Answer:

velocity = 62.89 m/s  in 58 degree measured from the x-axis

Explanation:

Relevant information:

Before the collision, asteroid A of mass 1,000 kg moved at 100 m/s, and asteroid B of mass 2,000 kg moved at 80 m/s.

Two asteroids moving with velocities collide at right angles and stick together. Asteroid A initially moving to right direction and asteroid B initially move in the upward direction.

Before collision Momentum of A = 1000 x 100 = $ 10^5$ kg - m/s in the right direction.

Before collision Momentum of B = 2000 x 80 = 1.6 x $ 10^5$  kg - m/s in upward direction.

Mass of System of after collision = 1000 + 2000 = 3000 kg

Now applying the Momentum Conservation, we get

Initial momentum in right direction = final momentum in right direction = $ 10^5$

And, Initial momentum in upward direction = Final momentum in upward direction = 1.6 x $ 10^5$

So, $ V_x = \frac{10^5}{3000} $  = $ \frac{100}{3} $  m/s

and $ V_y=\frac{160}{3}$  m/s

Therefore, velocity is = $ \sqrt{V_x^2 + V_y^2} $

                                   = $ \sqrt{(\frac{100}{3})^2 + (\frac{160}{3})^2} $

                                   = 62.89 m/s

And direction is

tan θ = $ \frac{V_y}{V_x}$     = 1.6

therefore, $ \theta = \tan^{-1}1.6 $

                   = $ 58 ^{\circ}$  from x-axis

4 0
3 years ago
DOES ANYONE KNOW WAHTS NOISE POLLUSION POEM?
solmaris [256]
Noise pollution, also known as environmental noise or sound pollution, is the propagation of noise with ranging impacts on the activity of human or animal life, most of them harmful to a degree.
7 0
3 years ago
Identify the energy transformation is image below
-BARSIC- [3]

Answer:

chemical to mechanical

hope it helps have a nice day

3 0
3 years ago
Two cars collide inelastically and stick together after the collision. Before the collision, the magnitudes of their momenta are
dolphi86 [110]

Answer:

a) P1+P2

Explanation:

The magnitude of their combined momentum is just the addition of each momentum, because in this case of inelastic collision, the kinetic energy of the two cars are both converted to some form of energy because the velocity of both cars becomes zero, i.e., V=0, making P = mv = 0, this means the magnitude of P1 + P2 = 0.

3 0
3 years ago
If f(x) = -3x +4 and g(x) = 2, solve for the value of x for<br>which (fx) = g(x) is true.​
maksim [4K]

Answer:

x=-\frac{2}{3}

Explanation:

Let:

f(x)=-3x+4\\\\And\\\\g(x)=2

We need to know for which value of x the function f(x) is equal to g(x):

f(x)=g(x)

Therefore, we need to solve for the previous equation for x:

Replacing the values of f(x) and g(x):

-3x+4=2

Subtract 4 from both sides:

-3x+4-4=2-4\\\\-3x=-2

Multiply both sides by -1

-3x(-1)=-2(-1)\\\\3x=2

Divide both sides by 3:

\frac{3x}{3} =\frac{2}{3} \\\\x=\frac{2}{3}

Therefore the value of x for which f(x)=g(x) is x=\frac{2}{3}.

Verify the result:

-3(\frac{2}{3} )+4=2\\\\-2+4=2\\\\2=2

4 0
3 years ago
Other questions:
  • American football uses a field that is 100.0yd long, whereas the a soccer field is 100.0m long. Which field is longer and by how
    10·1 answer
  • Maurice pulls on the end of a spring scale. He lets go of the end and observes the spring snap back into place. What force resto
    15·2 answers
  • How does distance affect gravity???
    7·2 answers
  • Why might a volcanic eruption lead to cooler temperatures over a large area around the volcano
    9·1 answer
  • El tubo de entrada que suministra presión de aire para operar un gato hidráulico tiene 2 cm de diámetro. El pistón de salida es
    6·1 answer
  • Why does it take mars over 500 days to orbit the sun?
    10·1 answer
  • An atom undergoes nuclear decay, but its atomic number is not changed.
    5·1 answer
  • A racecar driver steps on the gas, and his racecar travels 20 meters in 2 seconds starting from rest. The acceleration of the ra
    8·1 answer
  • What happens to the orbit time as the distance increases.
    12·1 answer
  • I’m a god, a planet, and I measure heat. What am I?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!