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
Veseljchak [2.6K]
3 years ago
6

A light, flexible cable is wrapped around a solid cylinder with mass 3.3 kg and a radius of 0.8 meters. The cylinder rotates on

a frictionless pin. The free end of the cable is tied to a 4.9 kg box that is initially 2.9 meters above the floor.
Determine the angular acceleration of the cylinder. (+ CCW)
Physics
1 answer:
kari74 [83]3 years ago
7 0

Answer:

9.16rad/s^2

Explanation:

We are given that

Mass,m_1=3.3 kg

Radius,r=0.8 m

m_2=4.9 kg

Height,h=2.9 m

We have to find the angular acceleration of the cylinder.

According to question

4.9g-T=4.9a

Tr=I\alpha

Where

\alpha=\frac{a}{r}

Tr=\frac{1}{2}m_1ra

T=\frac{1}{2}m_1a=\frac{1}{2}(3.3)a

Substitute the value

4.9g-\frac{1}{2}(3.3a)=4.9a

4.9\times 9.8=4.9a+\frac{3.3a}{2}

Where g=9.8 m/s^2

48.02=a(4.9+1.65)=6.55a

a=\frac{48.02}{6.55}=7.33m/s^2

Angular acceleration,\alpha=\frac{a}{r}=\frac{7.33}{0.8}=9.16rad/s^2

You might be interested in
The Acorn Insurance Company charges $3.50 for each unit of coverage under a block of 1-year term life insurance policies. The an
ICE Princess25 [194]

Answer:

$175

Explanation:

Insurance premium is expressed as a rate $1000

($3.50 per $1000)

Therefore;

Annual premium= $50000x$3.50/$1000

= $175

8 0
3 years ago
You are presently taking a weather observation. The sky is full of wispy cirrus clouds estimated to be about 10 km overhead. If
marshall27 [118]

Answer:

x = 2000 Km

Explanation:

Given

y = 10 km

Slope: 1 : 200

x = ?

We can apply the formula

y / x = 1 / 200   ⇒     x = 200*y = 200*10 Km

⇒     x = 2000 Km

7 0
3 years ago
Where does a rider on a roller coaster get energy?
Annette [7]
Gravitational potential energy.

As the rider falls, the GPE is converted into kinetic energy.
5 0
3 years ago
Read 2 more answers
A larger object is made of two balls separated by a massless rigid rod that is 1.5 m long. The mass of the red ball at one end i
lions [1.4K]

Answer:

The speed of the 1 kg red ball 8.04 m/s .

Explanation:

Given :

Separation between rods , d = 1.5 m .

Mass of the red ball is 1 kg .

Mass of the orange ball is 5.7 kg .

Angular velocity , \omega=1\ rev/s = 2\pi\ rad/s .

Now , distance of center of mass  from red ball is :

r =\dfrac{0\times 1+1.5\times 5.7}{1+5.7}\\\\r = 1.28\ m

We know , speed is given by :

v=\omega r\\\\v=2 \times \pi \times  1.28\\\\v=8.04\ m/s

Hence , this is the required solution .

5 0
3 years ago
You push a 2.3 kg block against a horizontal spring, compressing the spring by 17 cm. then you release the block, and the spring
horsena [70]
Some dogs may inherit a susceptibility to epilepsy.

6 0
3 years ago
Other questions:
  • Which of the following statements is true? A. Whenever an object moves, work is being done. B. A larger force always means more
    6·1 answer
  • Mr. Garcia uses magnets to hold a poster on a steel filing cabinet because a main component of steel is _____.
    8·2 answers
  • What kind of map might have diagrams of air pressure?
    11·1 answer
  • You are studying sunlight passing through the top layer of the atmosphere of venus to learn about its composition. what type of
    9·1 answer
  • Two blocks, 1 and 2, are connected by a rope R1 of negligible mass. A second rope R2, also of negligible mass, is tied to block
    10·1 answer
  • A decrease in the height of a column in a mercury barometer means that _____. air pressure is increasing wind speed is increasin
    7·2 answers
  • Pls, help me quick! :( I need a lot of help.
    10·2 answers
  • In order to attain orbit around earth, the ATLAS-V rocket must accelerate up to a
    13·1 answer
  • A positive charge is fixed at point (−4,−3) and a negative charge − is fixed at point (−4,0). Determine the net electric force ⃗
    10·1 answer
  • Which type of radioactive decay has a positive charge?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!