Answer:
a) fem = 5.709 V, b) t = 0.196 s, c) t = 0.589 s, d) T = 0.785 s
Explanation:
This is an exercise in Faraday's law
fem= - N
fem = - N
The magnetic field and the area are constant
fem = - N B A
fem = - N B A (-sin θ)
fem = N B (π d² / 4) sin θ w
fem=
N B d² w sin θ
with this expression we can correspond the questions
a) the peak of the electromotive force
this hen the sine of the angle is 1
sin θ = 1
fem =
77 1.18 0.10² 8.0
fem = 5.709 V
b) as the system has a constant angular velocity, we can use the angular kinematics relations
θ = w₀ t
t = θ/w₀
Recall that the angles are in radians, so the angle for the maximum of the sine is
θ= π/2
t =
t = 0.196 s
c) for the electromotive force to be negative, the sine function of being
sin θ= -1
whereby
θ = 3π/ 2
t =
t = 0.589 s
d) This electromotive force has values that change sinusoidally with an angular velocity of
w = 8 rad / s
angular velocity and period are related
w = 2π / T
T = 2π / w
T = 2π / 8
T = 0.785 s
Answer:

Explanation:
First, the instant associated to the angular displacement is:

Roots of the second-order polynomial are:

Only the first root is physically reasonable.
The angular velocity is obtained by deriving the angular displacement function:


The angular acceleration is obtained by deriving the previous function:

The resultant linear acceleration on the rim of the disk is:






Answer:
(a) 18.87 V
(b) 23.81 V
(c) 20.75%
Explanation:
The answers are given in the pictures. I have attached the pictures because circuits were needed to be drawn which are easier to understand when done on page. The page are numbered on top left corner.
Answer:
The position is
relative to the base of the ocean
Explanation:
From the question we are told that
The angle made by the incline with the horizontal is 
The constant acceleration is 
The distance covered is 
The height of the cliff is 
The velocity of the car is mathematically represented as

The initial velocity of the car is u= 0
So

substituting values


The vertical component of this velocity is

substituting values


The negative sign is because is moving in the negative direction of the y-axis
The horizontal component of this velocity is



Now according to equation of motion we have

substituting values

using quadratic equation we have that

given that time cannot be negative

The car’s position relative to the base of the cliff when the car lands in the ocean is mathematically evaluate as

substituting values

