Answer:
w = -101 rad / s
Explanation:
For this exercise we will use Faraday's law
E = - dФ / dt
where the magnetic flux is
Ф = B. A = B A cos θ
In this case, the angle between the magnetic field and the normal to the disk is zero, cos 0 = 1, they indicate that the field is constant, let's find the area
The area rotated by the disk is
A = ½ r s
if we express the angles in radians
θ = s / r
s = r θ
where is the arc supported
A = ½ r (r θ)
let us substitute in the Faraday equation
E = - d (B ½ r² θ) / dt
E = - ½ B r² dθ/dt
the definition of angular velocity is
w = dθ/dt
E = - ½ B r² w
w = - 2E / B r²
let's calculate
w = - 2 3.86 / (0.0314 1.56²)
w = -101 rad / s
Polstyrene foam is more commonly known as styrofoam. When clumped together, styrofoam would float on water. So, the easiest and the most cost-efffective way of separating sand from styrofoam is flotation with the use of water.
Other processes are also available. Polystyrene is soluble in organic solvents like acetone, toluene or benzene. By adding these solvents, polystyrene would react so that you are left with only the sand. This process is called solvent extraction. If you want to recover the styrofoam, just evaporate the solvent out and you are left with a solid form of the polystyrene.
Answer:
an electron with element with large number of valence electron and large atomic <u>radius</u>
Explanation:
Given that,
Mass of the car, m = 710 kg
Speed of the car, v = 23 m/s
Drag force, F = 500 N
(a) Let P is the power is required from the car's engine to drive the car on the level ground. Power is given by :
(b) Let P is the power is required from the car's engine to drive the car on up a hill with a slope of 2 degrees.
At this slope, force will be,
Total force will be :
Power is given by :
or
P = 17 kW
Answer:
a) v = 465.3 m / s
, b) v = 196.3 m / s
, c) v =327.2 m/s
Explanation:
Linear and angular magnitudes are related.
v = w r
Where v and w are the linear and angular velocities, respectively and r is the radius of the circle.
Let's look for angular velocity
In rotated angle is a rotation of the Earth is 2π rad and the Time spent Period is24 h
Let's reduce the hours to seconds
T = 24 h (3600 s / 1 h) = 86,400 s
w = 2π / 68400
w = 7.27 10⁻⁵ rad / s
Let's look for linear speeds
a) in Ecuador the radius of the circle is the radius of the planet
r = = 6.4 10⁶ m
v = 7.27 10⁻⁵ 6.4 10⁶
v = 465.3 m / s
b) As the sphere reduces the size of the circle, let's use trigonometry to find the triangle leg, the angle is measured from the x-axis (East
cos 65 = r /
r = cos 65
r = 6.4 10⁶ cos 65
r = 2.7 10⁶ m
We calculate the linear speed
v = 7.27 10⁻⁵ 2.7 10⁶
v = 196.3 m / s
c) at an angle of 45
r = 6.4 10⁶ cos45
r = 4.5 10⁶ m
v = 7.27 10⁻⁵ 4.5 10⁶
v =327.2 m/s