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
Nata [24]
3 years ago
14

A circular saw blade with radius 0.175 m starts from rest and turns in a vertical plane with a constant angular acceleration of

2.00 rev/s^2. After the blade has turned through 155 rev, a small piece of the blade breaks loose from the top of the blade. After the piece breaks loose, it travels with a velocity that is initially horizontal and equal to the tangential velocity of the rim of the blade. The piece travels a vertical distance of 0.820 m to the floor.
(A) How far does the piece travel horizontally, from where it broke off the blade until it strikes the floor? Express your answer with the appropriate units.
Physics
1 answer:
adelina 88 [10]3 years ago
5 0

Answer:

x = 11.23  m

Explanation:

For this interesting exercise, we must use angular kinematics, linear kinematics and the relationship between angular and linear quantities.

Let's reduce to SI system units

    θ = 155 rev (2pi rad / rev) = 310π rad

    α = 2.00rev / s2 (2pi rad / 1 rev) = 4π rad / s²

Let's look for the angular velocity at the time the piece is released, with starting from rest the initial angular velocity is zero (wo = 0)

    w² = w₀² + 2 α θ  

    w =√ 2 α θ

    w = √(2 4pi 310pi)

    w = 156.45  rad / s

The relationship between angular and linear velocity

    v = w r

    v = 156.45  0.175

    v = 27.38 m / s

In this part we have the linear speed and the height that it travels to reach the floor, so with the projectile launch equations we can find the time it takes to arrive

    y = v_{oy} t - ½ g t²

As it leaves the highest point its speed is horizontal

   y = 0 - ½ g t²

   t = √ (-2y / g)

   t = √ (-2 (-0.820) /9.8)

   t = 0.41 s

With this time we calculate the horizontal distance, because the constant horizontal speed

   x = vox t

   x = 27.38 0.41

   x = 11.23  m

You might be interested in
The highest free-standing tower in North America is the CN Tower in Toronto, Canada. From a distance of 1km from its base, the a
Whitepunk [10]
The height of the tower and the distance from its base form a right angle triangle. Thus,
tan(∅) = height / base
tan(28.81) = height / 1,000 m
height = 549.98 meters
4 0
3 years ago
A succession of single tones or pitches perceived as a unit is called:
jeka57 [31]
A succession of single tones or pitches perceived as a unit is called a melody. It is a linear succesion of tones in music that is seen as one single entity. It is a combination of rhythm, pitch and tonal color. Melodies usually has one ormore motifs or phrases that are being repeated all throughout a composition. Melodies are characterized by the melodic motion it posses , the pitch, intervals between the pitches, continuity and pitch range. Due to the a wide range of melodies that can be made from tones, differet genres of music arise. Examples are Jazz, Rock music, Classical, pop, R&B and the like. 
5 0
3 years ago
If a man shoots a spear at a place where he sees the fish inside water , is it possible that it will hit the fish ? Write with a
madam [21]
It is possible, but very slim. The fish will move before the spear goes through its body because the fish will sense danger and feel it hit the water and automatically move
6 0
3 years ago
Consider a point charge qqq in three-dimensional space. Symmetry requires the electric field to point directly away from the cha
bonufazy [111]

Answer:

 E = \frac{1}{4\pi  \epsilon_o } \  r^2

Explanation:

For this exercise let's use Gauss's law. The Gaussian surface that follows the symmetry of the charges is a sphere

           Ф = ∫ E. dA = \frac{x_{int} }{\epsilon_o}

the bold are vectors, the radii of the sphere and the electric field are parallel therefore the scalar product reduces to the algebraic product

           Ф = ∫ E dA = \frac{x_{int} }{\epsilon_o}

           E ∫ dA = \frac{x_{int} }{\epsilon_o}

           E A = \frac{x_{int} }{\epsilon_o}

the area of ​​a sphere is

            A = 4π r²

the charge inside the sphere is q = + q

           

we substitute

           E 4π r² = \frac{x }{\epsilon_o}

           E = \frac{1}{4\pi  \epsilon_o } \  r^2

4 0
3 years ago
How are electric fuses rated
vitfil [10]

Answer:

The fuse rating can be calculated by dividing the power used by the appliance by the voltage going into the appliance.

Explanation:

(AMPS)=P(watts)÷V(Voltage)

6 0
2 years ago
Other questions:
  • After three shuttle accidents in three months, one of which resulted in a critical injury to a driver, Get Around Shuttle driver
    12·1 answer
  • When the core of a star like the sun uses up its supply of hydrogen for fusion, the core begins to ________?
    14·2 answers
  • An initially uncharged 4.07 μF capacitor and a 7.71 k Ω resistor are connected in series to a 1.50 V battery that has negligible
    8·2 answers
  • Global Precipitation Measurement (GPM) is a tool scientists use to forecast weather. Which statements describe GPM? Select three
    7·1 answer
  • Technician A says that the aspect ratio of a tire represents the relationship between the tire's cross-sectional height to its c
    5·1 answer
  • In 1-2 sentences describe how your nose cleans the air you inhale.
    15·1 answer
  • When a carpet is beaten with a stick dust particles off<br> ...why
    5·1 answer
  • Find the voltage drop (in volt) along a 93.4 meter long 10 gauge copper wire carrying acurrent of 72.5 A. The diameter of a 10 g
    5·1 answer
  • describe in detail and example of a character from a television program movie or book you have recently read that is faced with
    9·1 answer
  • Three 20.0 ohm resistors are
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!