Answer:
(a) ΔФ = -0.109W
(b) emf = 28.43V
(c) Iin = emf/R
Explanation:
(a) In order to calculate the magnetic flux you use the following formula:
(1)
B: magnitude of the magnetic field = 1.40T
A: area of the rectangular coil = (0.23m)(0.34m)=0.078m^2
Where it has been taken into account that at the beginning the normal vector to the cross sectional area of the coil, and the magnetic field vector are parallel. When the coil is rotated the vectors are perpendicular.
Then, you obtain:
The change in the magnetic flux is -0.109 W
(b) During the rotation of the coil the emf induced is given by:
(2)
N: turns of the coil = 60
ΔФ: change in the magnetic flux = 0.109W
Δt: lapse time of the rotation = 0.230s
You replace the values of the parameters in the equation (2):
The induced emf is 28.43V
(c) The induced current in the coil is given by:
(3)
R: resistance of the coil (it is necessary to have this value)
emf :induced emf = 28.43V
Newton taught us: Force = (mass) x (acceleration)
Divide each side by (mass) : Acceleration = (force) / (mass) .
The only problem here is: This formula applies when the "Force" is the
only force on the object. When the objects in these school problems are
falling out of airplanes, shot from guns, or being hit by baseball bats, we
routinely ignore the force of air resistance against the object. We're
comfortable with that, maybe because it's become a habit. But now,
we're not so comfortable about ignoring the force of water resistance.
All I can tell you is that if you DO ignore the water resistance, that is,
if the water were not there, her acceleration would be
(250 newtons) / (70 kg) = 3.57 m/s² = about 0.36 g .
But what is it really, in the water ?
If you've spent any substantial amount of time anywhere near competitive
swimmers, then you know that it depends on their position coming off the
wall, what they do with their knees and knuckles, how straight they hold
their body, how deep the texture of their swim-cap is, and how well they've
shaved their legs.
Answer:
156.1 rad/s = 24.8 rev/s
Explanation:
Torque = Momentum of inertial × radial acceleration = Iα
τ = 26.6 N.m
I = 0.162 kg.m²
26.6 = 0.162 × α
α = 164.2 rad/s²
Using equations of motion,
θ = 11.8 rev = 11.8 × 2π = 74.2 rad
w₀ = 0 rad/s (since the grindstone starts from rest)
w = ?
α = 164.2 rad/s²
w² = w₀² + 2(α)(θ)
w² = 0² + (2×164.2)(74.2)
w = 156.1 rad/s = 24.8 rev/s
Hope this Helps!!!
Answer:
Part A: 
Part B:
Part C: 
Explanation:
Part A:
We will use the following kinematics equation:
Part B:
We will use the same kinematics equation:
Part C:
The total time takes is 2t.
So the train moves a distance of
And the car moves a distance in Part A and in Part B:
So the total distance that the car traveled is 
The difference between the train and the car is
