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
Alekssandra [29.7K]
3 years ago
13

A uniform cylinder of radius 25 cm and mass 27 kg is mounted so as to rotate freely about a horizontal axis that is parallel to

and 60.0 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? kg·m2 (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular speed of the cylinder as it passes through its lowest position? rad/s
Physics
1 answer:
Alisiya [41]3 years ago
5 0

Answer:

Explanation:

                                                     STEP 1

<u>Given</u>

Radius of cylinder = r = 25cm, 2.5m

mass = 27kg

cylinder is mounted so as to rotate freely about a horizontal axis that is parallel to and 60cm to the central logitudinal axis of the cylinder

height = 0.6m

<u>part 1</u>

The cylinder is mounted so as to rotate freely about a horizontal axis tha is paralle to 60cm from the central longitudinal axis of then cylinder. The rotational inertia of the cylinder about the axis of rotation is given by

<em>I = Icm + mh²</em>

<em>∴ I = 1/2mr² + mh² = 1/2x27x (0.5)² + 20  x  (0.6)²</em>

<em>I=13.09kg.m²</em>

where

<em>I</em>cm is the rotational inertia of the cylinder about its central axis

m is the mass of the cylinder

h is the distance between the axis of the rotation and the central axis of the cylinder

r is the radius of the cylinder

<em>                                        </em><em> I=13.09kg.m²</em>

<em>part2</em>

<em>from the conservation of the total mechanical energy of the meter stick, the change in gravitational potential energyof the meter stick plus the change in kinetic energy must be zero</em>

<em>Δk + Δu = 0</em>

<em>1/2 </em>I(w²-w²) = Ui-Uf

1/2 x 13.09w² = mgh

∴w=√20 x 9.8 x 0.6/(1/2 x 13.09) =117.6/6.5

w=18.09rad/s

You might be interested in
If a car has a velocity of 40 km/h west and then comes to a stop in 5 s, what is its acceleration in m/s2?
Leno4ka [110]

acceleration = change in velocity /change in time

convert 40km to meter then divide it with 5

6 0
2 years ago
HELP PLEASE !!
Umnica [9.8K]
If a car crashes into another car like this, the wreck should go nowhere. Besides this being an unrealistic question, the physics of it would look like this:

Momentum before and after the collision is conserved.

Momentum before the collision:
p = m * v = 50000kg * 24m/s + 55000kg * 0m/s = 50000kg * 24m/s
Momentum after the collision:
p = m * v = (50000kg + 55000kg) * v

Setting both momenta equal:
50000kg * 24m/s = (50000kg + 55000kg) * v

Solving for the velocity v:
v = 50000kg * 24m/s/(50000kg + 55000kg) = 11,43m/s

3 0
2 years ago
A combination of two or more simple machines is a (n)
Lilit [14]
A compound Machine is 2 machines that work together in order to make a task easier.
8 0
2 years ago
A hypothesis is _______.
Arada [10]

Answer:

A hypothesis is a basically a theory proposed to a subject or refrence to an act with limited evidences.

6 0
3 years ago
Which list includes translucent objects only
Lunna [17]

Objects that let in light and blurry images are translucent.

Translucent is a term that refers to an adjective. This characteristic is the property of an object to allow the passage of light, without allowing visibility with high clarity through it.

This term is often confused with transparency. However, they differ because a transparent object lets light through easily and allows you to see clearly through it.

According to the above, objects that allow light to pass through but do not allow clear vision are translucent.

Learn more in: brainly.com/question/10626808

5 0
2 years ago
Other questions:
  • When a force of 15 newtons is applied to a stationary chair, it starts moving. What can you say about the frictional force betwe
    9·1 answer
  • True or False: If a point charge has electric field lines that point into it, the charge must be positive.
    5·1 answer
  • What is the average velocity of the particle within the time interval 1 second to 3 seconds
    5·1 answer
  • 2 clues about a chemical change
    13·1 answer
  • Determine how many Altuves you could travel in a day if you were moving at 45.000 mph all day. Altuve = 1.65 m
    5·1 answer
  • A rope holding a brick is hanging from the ceiling of an elevator at rest. If the elevator accelerates
    15·1 answer
  • Help i hope this actually works
    15·1 answer
  • 90Th234 What element atom is formed when the thorium nucleus is оруулах-decomposed?​
    6·1 answer
  • Select all the correct answers.
    5·1 answer
  • A ball thrown vertically upwards from ground
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!