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
Ierofanga [76]
3 years ago
5

Three forces are applied to a solid cylinder of mass 12 kg (see the drawing). The magnitudes of the forces are F1 = 15 N, F2 = 2

4 N, and F3 = 19 N. The radial distances are R2 = 0.22 m and R3 = 0.10 m. The forces F2 and F3 are perpendicular to the radial lines labeled R2 and R3. The moment of inertia of the cylinder is 12MR22. Find the magnitude of the angular acceleration of the cylinder about the axis of rotation.
Physics
1 answer:
Mila [183]3 years ago
6 0

Answer:

The angular acceleration is 11.66 rad/s²

Explanation:

Step 1: Given data

Three forces are applied to a solid cylinder of mass 12 kg

F1 = 15 N

F2 = 24 N

F3 = 19 N

R2 = 0.22m

R3 = 0.10m

Step 2: Find the magnitude of the angular acceleration

I = ½mr² = ½ * 12kg * (0.22m)² = 0.29 kg*m²

torque τ = I*α

τ = F2*R2 - F1*R1 = 24N*0.22m - 19N*0.10m = 3.38 N*m

This means

I = ½mr² = 0.29 kg*m²

τ = I*α  =  3.38 N*m

OR

0.29 kg*m² * α = 3.38 N*m

α = 11.655 rad/s²  ≈11.66 rad/s²

The angular acceleration is 11.66 rad/s²

You might be interested in
An electron in a television tube is accelerated uniformly from rest to a speed of 8.4\times 10^7~\text{m/s}8.4×10 ​7 ​​ m/s over
stich3 [128]

Answer:

P=3.42×10^-6 J/s

Explanation:

From the kinematics of motion with constant acceleration we know that :  

vf^2=vi^2+2*a(xf-xi)

Where :

• vf , vi, are the the final and the initial velocity of the electron  

• a is the acceleration of the electron  

• xf , xi are the final and the initial position of the electron .

Strategy for solving the problem : at first from the given information we calculate the acceleration of the electron.  

Givens: vf = 8.4 x 10^7 m/s , vi, = 0 m/s , xf = 0.025 m and xi = 0 m  

vf^2 =vi^2+2*a(xf-xi)

vf^2-vi^2=2*a(xf-xi)

2*a(xf-xi)= vf^2-vi^2

          a = (vf^2-vi^2)/2(xf-xi)

Pluging known information to get :

a = (vf^2-vi^2)/2(xf-xi)

  = 1.411 × 10^17

From the acceleration and the previous Eq. we can calculate the final velocity of the electron but a new position xf = 0.01 m  

so,

vf^2 =vi^2+2*a(xf-xi)

vf^2 =5.312× 10^7

From the following Eq. we can calculate the time elapsed in this motion .  

xf =xi+vi*t+1/2*a*t

xf =xi+vi*t+1/2*a*t

  t=√2(xf-xi)/a

 t=3.765×10^-10 s

now we can use the power P Eq.  

 P=W/Δt => ΔK/Δt  

Where: the work done W change the kinetic energy K of the electron ,

ΔK=Kf-Ki=>1/2*m*vf^2-1/2*m*vi^2

P=1/2*m*vf^2-1/2*m*vi^2/Δt

P=3.42×10^-6 J/s

6 0
3 years ago
Which statement about tornadoes is correct? a. They are a very common part of thunderstorms. b. Seventy-five percent of the worl
Anit [1.1K]

As strange as it may seem, around 75% world’s tornadoes

occur in the United States. It's actually because of the unique

geography of North America, and how the winds and storms

get funneled up through the US. (choice-b)


It's true that when there's a tornado, it usually comes along with a thunderstorm. But tornadoes are way way LESS common than thunderstorms.


Their main danger is from the high winds in the center of the funnel.

The rain is minor compared to the wind damage.


Tornadoes are not really the strongest storms on Earth.

Welll ... I guess that could depend on what "strong storm" means.

Sure, a tornado is incredibly vicious and powerful. But it's only a few

miles wide, and it only lasts for a few hours and then it's all over.

The tropical cyclones ... hurricanes, monsoons, typhoons ... don't have

winds as fast as tornadoes, but they can be a thousand miles wide and

last for weeks.

7 0
3 years ago
Read 2 more answers
Monochromatic light of 605 nm falls on a single slit, which is located 85 cm from a
Anna [14]

Answer:

mhm

Explanation:

The answer is c 00.095

4 0
3 years ago
A rigid tank contains air at a pressure of 70 psia and a temperature of 55 ˚F. By how much will the pressure increase as the tem
Katyanochek1 [597]

Answer:

P_2 = 62.69 psi

Explanation:

given,

P₁ = 70 psia               T₁ = 55° F    = (55 + 459.67) R

P₂ = ?                         T₂ = 115° F    = (115 + 459.67) R

we know,

p = ρ RT

ρ is the density which is constant

R is also constant

now,

\dfrac{P_2}{P_1} =\dfrac{T_2}{T_1}

\dfrac{P_2}{70} =\dfrac{55+459.67}{115+459.67}

    P_2 = 62.69 psi

Hence, the increase in Pressure is equal to P_2 = 62.69 psi

7 0
3 years ago
Three different liquids are mixed together in a calorimeter. The masses of the liquids are m1 = 520 g, m2 = 715 g, m3 = 370 g. T
DochEvi [55]

....................................

6 0
3 years ago
Other questions:
  • a 0.24 kg blob of clay is thrown at a wall with an initial velocity of 19m/s. the clay comes to a stop against the wall in 82ms,
    15·1 answer
  • To analyze the motion of a body that is traveling along a curved path, to determine the body's acceleration, velocity, and posit
    10·1 answer
  • A minivan is rated for maximum carrying capacity of 900 lbs. if the luggage weighs 100 lbs, what is the maximum average weight a
    11·1 answer
  • Suppose you were far from a planet that had a very strong gravitational field, and an emission line spectrum source on the surfa
    12·1 answer
  • Why, on a sunny day, it is normally hot inside a greenhouse
    12·1 answer
  • Consider an electron within the 1s orbital of a hydrogen atom. the normalized probability of finding the electron within a spher
    7·2 answers
  • Consider a rectangular ice floe 5.00 m high, 4.00 m long, and 3.00 m wide. a) What percentage of the ice floe is below the water
    14·1 answer
  • Suppose a point charge is located at the center of a spherical surface. The electric field at the surface of the sphere and the
    13·1 answer
  • A car slows down from 21 m/s to rest in a distance of 63m. Assuming the car has a constant acceleration, calculate the time it t
    12·1 answer
  • *NEED ANSWER QUICKLY!*
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!