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
Orlov [11]
2 years ago
10

You have a horizontal grindstone (a disk) that is 86 kg, has a 0.33 m radius, is turning at 92 rpm (in the positive direction),

and you press a steel axe against the edge with a force of 24 N in the radial direction.a) assuming the kinetic coefficient of friction between steel and stone is .2, calculate the angular acceleration of the grindstone in rad/s^2b) how many turns will the stone make before coming to rest
Physics
1 answer:
Rudiy272 years ago
7 0

Answer:

a) α = 0.338 rad / s²  b)   θ = 21.9 rev

Explanation:

a) To solve this exercise we will use Newton's second law for rotational movement, that is, torque

    τ = I α

    fr r = I α

Now we write the translational Newton equation in the radial direction

    N- F = 0

    N = F

The friction force equation is

    fr = μ N

    fr = μ F

The moment of inertia of a saying is

    I = ½ m r²

Let's replace in the torque equation

    (μ F) r = (½ m r²) α

    α = 2 μ F / (m r)

    α = 2 0.2 24 / (86 0.33)

    α = 0.338 rad / s²

b) let's use the relationship of rotational kinematics

    w² = w₀² - 2 α θ

    0 = w₀² - 2 α θ

    θ = w₀² / 2 α

Let's reduce the angular velocity

     w₀ = 92 rpm (2π rad / 1 rev) (1 min / 60s) = 9.634 rad / s

    θ = 9.634 2 / (2 0.338)

     θ = 137.3 rad

Let's reduce radians to revolutions

    θ = 137.3 rad (1 rev / 2π rad)

    θ = 21.9 rev

You might be interested in
How reactive is an atom of Sodium(Na) and why?
lara [203]
Sodium (Na) is very reactive because it does not have a full valence shell.
6 0
3 years ago
A temperature of 20°C is equivalent to approximately?
umka21 [38]

The answer is A.68 degrees

7 0
3 years ago
Read 2 more answers
Summers are caused by
alexandr1967 [171]

it is A hope it is useful.

4 0
3 years ago
Read 2 more answers
An object is said to move from a position of 10m East to a position of 5m west. Determine the object's distance travelled.
motikmotik

Answer:

5 i think

Explanation:

4 0
3 years ago
The axis of the earth is<br> Tilted about 23.5 degrees<br> Vertical<br> Vertical
melisa1 [442]

Answer:

The axis of rotation of the Earth is tilted at an angle of 23.5 degrees away from vertical, perpendicular to the plane of our planet's orbit around the sun. The tilt of the Earth's axis is important, in that it governs the warming strength of the sun's energy.

Explanation:

can i get brainliest

5 0
2 years ago
Other questions:
  • The light of a star that can be seen from Earth is called what? (Apparent or Absolute Magnitude)
    13·1 answer
  • A fixed coil of wire with 10 turns and an area of 0.055 m2 is placed in a perpendicular magnetic field. This field oscillates in
    6·1 answer
  • A mineral's chemical composition and crystal structure help determine it's ___________.
    11·1 answer
  • What does the term “periodic” mean when describing motion
    7·2 answers
  • PL-1) A spring that hangs vertically is 25 cm long when no weight is attached to its lower end. Steve adds 250 g of mass to the
    9·1 answer
  • What does sealant restorations mean?
    9·1 answer
  • Explain why Earth does not have as many craters as Mars, Mercury, and the Moon.
    12·1 answer
  • What is a Serous circuit
    14·2 answers
  • What % of an object’s mass is below the water line if the object’s density is 0.63g/ml?
    13·1 answer
  • A circuit contains four capacitors in parallel (10 F, 3 F, 7 F, and 1 F). What is the equivalent capacitance of this circuit?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!