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Gnoma [55]
3 years ago
12

7 the density of the american white oak tree is 752 kilograms per cubic meter. if the trunk of an american white oak tree has a

circumference of 4.5 meters and the height of the trunk is 8 meters, what is the approximate number of kilograms of the trunk?
Physics
1 answer:
alexdok [17]3 years ago
3 0

First, we determine the volume of the trunk by finding first the radius from the circumference through the equation,

<span>                                                            C = 2πr</span>

<span>                                                            r = C/2π</span>

Substituting the known values,

<span>                                                            r = 4.5/2π = 0.716 m</span>

Then, we calculate for the volume through the equation,

<span>                                                            V = πr2h</span>

<span>                                                V = π(0.716 m)2(8m) = 12.9 m3</span>

Multiplying the calculated value to the density will give the mass as,

<span>                                                Mass = (12.9 m3)(752 kg/m3) = <span>9699.36 kg</span></span>

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Two circular coils are concentric and lie in the same plane. The inner coil contains 170 turns of wire, has a radius of 0.012 m,
GREYUIT [131]

Answer:

The current of the outer coil is  I_o   =   3.99 \ A

Explanation:

From the question we are told that

    The number of turns of the inner coil is  N_i  = 170 \ turn

    The radius of the  inner coil is R_i =  0.012 \ m

     The current of the inner coil is  I_i  =  6.2 \ A

      The number of turns of the outer coil is N_o  =  220 \ turns

      The radius of the  outer coil is R_o  =  0.02 0 \ m

       

Generally the net magnetic field is mathematically represented as

              B  =  \frac{N \ mu I }{ 2 * R  }

Now from told that the net magnetic field is common

So  

           \frac{N_i  \mu I_i} {2 * R _i} =  \frac{N_o  \mu I_o} {2 * R _o}

Here  \mu is the permeability of free space

making  I_o the subject

            I_o   =   \frac{ N_i  I_i *2 * R _o}{N_o  *2 * R _i}

substituting values

           I_o   =   \frac{ 170 *6.2 *2 * 0.020}{220   *2 * 0.012}

         I_o   =   3.99 \ A

5 0
3 years ago
A car is driving around a banked curve, with the road surface at an angle of 10.0º. If the radius of curvature of the road is 30
IRISSAK [1]

Answer:

maximum speed 56 km/h

Explanation:

To apply Newton's second law to this system we create a reference system with the horizontal x-axis and the Vertical y-axis. In this system, normal is the only force that we must decompose

       sin 10 = Nx / N

      cos 10 = Ny / N

      Ny = N cos 10

     Nx = N sin 10

Let's develop Newton's equations on each axis

X axis

We include the force of friction towards the center of the curve because the high-speed car has to get out of the curve

     Nx + fr = m a

     a = v2 / r

     fr = mu N

     N sin10 + mu N = m v² / r

     N (sin10 + mu) = m v² / r

Y Axis  

     Ny -W = 0

     N cos 10 = mg

Let's solve these two equations,

    (mg / cos 10) (sin 10 + mu) = m v² / r

    g (tan 10 + μ / cos 10) = v² / r

    v² = r g (tan 10 + μ / cos 10)

They ask us for the maximum speed

   v² = 30.0 9.8 (tan 10+ 0.65 / cos 10)

   v² = 294 (0.8364)  

   v = √(245.9)

   v = 15.68 m / s

Let's reduce this to km / h

   v = 15.68 m / s (1 km / 1000m) (3600s / 1h)

   v = 56.45 km / h

This is the maximum speed so you don't skid

7 0
2 years ago
ANSWER PLS!!<br><br> In two to three sentences, differentiate between a motor and a generator
Degger [83]

-- A motor and a generator both do a transformation between electrical energy and some other form of energy, but they do it in opposite directions.

-- A motor takes electrical energy and transforms it into mechanical energy, which can then be used to run mechanical things like cars or wheat grinders.

-- A generator takes mechanical energy ... like from a steam turbine or a windmill or a water wheel ... and transforms it into electrical energy, which can then be shipped over long distances through wires, and used to run motors or other electrical things.

8 0
3 years ago
If 150 kcal of heat raises the temperature of 2.0 kg of a material by 400 F°, what is the specific heat capacity of the material
Mariulka [41]

it would be 0.338 kcal, which would round off to 0.34.

4 0
3 years ago
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Find the velocity in meters per second of a baseball thrown 38 meters from 1st to 3rd base in 1.9 seconds
trapecia [35]

Answer:

v=20\frac{m}{s}

Explanation:

The velocidty is defined as the change of position during an interval of given time. Therefore, it is calculated by dividing the distance traveled by the time taken to do it:

v=\frac{x}{t}

Replacing the given values:

v=\frac{38m}{1.9s}\\v=20\frac{m}{s}

5 0
3 years ago
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