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
Musya8 [376]
2 years ago
9

A solid cylinder with diameter 20cm has an angular velocity of 10m/s and angular momentum of 2kgm^2/s. What is its mass?

Physics
1 answer:
Sati [7]2 years ago
4 0

Hi there!

Recall the equation for angular momentum:
L = I\omega

L = Angular momentum (kgm²/s)
I = Moment of Inertia (kgm²)
ω = angular velocity (rad/s)

We know that the Moment of Inertia of a solid cylinder is equivalent to:
I = \frac{1}{2}MR^2

M = mass (kg)
R = radius (m)

Plug in the givens to solve for the moment of inertia. Remember to divide the diameter by 2 for the radius, and to convert to meters.

r = \frac{d}{2} = 20/2 = 10 cm \\\\10 cm = 0.1 m

I = \frac{1}{2}M(0.1^2) = 0.005 M

We can rearrange the equation of angular momentum to solve for mass.

L = 0.005M * \omega\\\\\frac{L}{0.005 \omega} = M \\\\M = \frac{2}{0.005(10)} = \boxed{ 40 kg}

You might be interested in
The two forces acting on a skydiver are __________ and air _____________.
Stolb23 [73]

Answer:

Gravity and

Air resistance

Explanation:

The two forces acting on a skydiver are gravitational force and air resistance.

Gravitational force is a force that tends to pull all massive bodies towards the center of the earth. It works on all bodies that has mass. The larger or bigger the mass, the more the pull of gravity on the body.

Air resistance is the drag of air on a body as it passes to it. It is resisting force.

  • When a sky diver jumps out of a plane, he/she encounters both gravity and air resistance.
  • It soon balances both force and attain terminal velocity.
  • Air resistance is a frictional force that opposes motion.
  • This frictional force pushes in the opposite direction of motion
  • Motion direction is downward due to the celerity caused by gravity.
3 0
3 years ago
Read 2 more answers
Using the graph predict how many paper clipsa 7.5 v battery would pick up for both the 25 coil electromagnet and the 50 coil ele
enyata [817]

The graph between the strength of the magnet(number of paper clips picked) and battery is approximately a straight line.

For 25 coil, with increase of 1.5 V battery voltage, the electromagnet picks about 5 more clips. So, for a 7.5 V battery, it would pick about 30 paper clips.

For 50 coil, with increase of 1.5 V battery voltage, the electromagnet picks about 15 more clips. So, for a 7.5 V battery, it would pick about 30 paper clips.

3 0
3 years ago
A 5c charge experiences a force of 40n when put at a certain location in space. What is the electric field at that location?
stepladder [879]
The 'strength' of the electric field is the force on 1C of charge at that point.

At this 'certain location', the field is 40/5 = 8 newtons per coulomb = <u>8 volts</u>
3 0
3 years ago
A force of 20 N is executed to raise a rock weighing 30 N. What is the actual mechanical advantage?
xxMikexx [17]
I am absolutely sure its 1.5
5 0
3 years ago
Read 2 more answers
A 5.67-kg block of wood is attached to a spring with a spring constant of 150 N/m. The block is free to slide on a horizontal fr
nikklg [1K]

Answer:

v=0.94 m/s

Explanation:

Given that

M= 5.67 kg

k= 150 N/m

m=1 kg

μ = 0.45

The maximum acceleration of upper block can be μ g.

 a= μ g                          ( g = 10 m/s²)

The maximum acceleration of system will ω²X.

ω = natural frequency

X=maximum displacement

For top stop slipping

μ g  =ω²X

We know for spring mass system natural frequency given as

\omega=\sqrt{\dfrac{k}{M+m}}

By putting the values

\omega=\sqrt{\dfrac{150}{5.67+1}}

ω = 4.47 rad/s

μ g  =ω²X

By putting the values

0.45 x 10 = 4.47² X

X = 0.2 m

From energy conservation

\dfrac{1}{2}kX^2=\dfrac{1}{2}(m+M)v^2

kX^2=(m+M)v^2

150 x 0.2²=6.67 v²

v=0.94 m/s

This is the maximum speed of system.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Newton's first law of motion states that an object remains at rest unless a(n) ____ force acts on it. a. balanced c. gravitation
    13·2 answers
  • Which of these actions will increase friction? Check all that apply.
    14·1 answer
  • Dinosaurs emerged during what time period
    13·1 answer
  • A major leaguer hits a baseball so that it leaves the bat at a speed of 31.3 m/s and at an angle of 36.7 ∘ above the horizontal.
    14·1 answer
  • What is the velocity of a wave with a frequency of 6 Hz and a wavelength of 2 m?
    15·1 answer
  • Horizontal circular motion questions:
    8·1 answer
  • Succession occurs when environmental factors affecting an ecosystem change. Please select the best answer from the choices provi
    9·2 answers
  • Calculate the kinetic energy of an 88-kg scooter moving at 10 m/s . express your answer to two significant figures and include t
    8·2 answers
  • Helppppppppppopppppppp​
    8·2 answers
  • Mental health can be improved by (5 points)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!