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
Anvisha [2.4K]
3 years ago
10

In a 200-turn automobile alternator, the magnetic flux in each turn is ΦB = 2.50 10-4 cos ωt, where ΦB is in webers, ω is the an

gular speed of the alternator, and t is in seconds. The alternator is geared to rotate three times for each engine revolution. The engine is running at an angular speed of 1.00 103 rev/min.
(a) Determine the induced emf in the alternator as a function of time. (Assume is in V.) =_______.
(b) Determine the maximum emf in the alternator.
Physics
1 answer:
n200080 [17]3 years ago
5 0

Answer:

10.63952sin(209.43951t)

10.63952 V

Explanation:

N_t = Number of turns = 200

\phi_B = Magnetic flux = 2.5\times 10^{-4}cos(\omega t)

\omega_e = Engine angular speed = 1\times 10^{3}\ rpm

Alternator angular speed is given by

N_a=2\times \omega_e\\\Rightarrow N_a=2\times 1\times 10^{3}\\\Rightarrow N_a=2\times 10^{3}\ rpm

\omega=N_a\dfrac{2\pi}{60}\\\Rightarrow \omega=2\times 10^{3}\dfrac{2\pi}{60}\\\Rightarrow \omega=209.43951\ rad/s

Induced emf is given by

\epsilon=-N_t\dfrac{d\phi_B}{dt}\\\Rightarrow \epsilon=-200\dfrac{d}{dt}2.54\times 10^{-4}cos(209.43951 t)\\\Rightarrow \epsilon=200\times 2.54\times 10^{-4}\times 209.43951 sin(209.43951t)\\\Rightarrow \epsilon=10.63952sin(209.43951t)

The function is 10.63952sin(209.43951t)

The induced maximum emf is 10.63952 V

You might be interested in
Two moving objects collide and move apart on paths 90 degrees apart. The total momentum after the collision is _______ the total
Tom [10]
A is the correct answer
4 0
3 years ago
Homes with multiple bathrooms have outlets connected in series with a red reset button in the system
dybincka [34]

Homes with multiple bathrooms have outlets connected in series with a red reset button in the system. The reason for this circuit design is to prevent electrocution.

<h3>What is red reset button?</h3>

The water heater's reset switch provided on the upper thermostat of an electric water heater. If the button is on, the switch would have tripped and the reset is required.

To prevent any kind of injury or killing of a person by electric shock is called as the electrocution. This can be prevented only by outlets connected in series with a red reset button.

Thus, the reason for this circuit design is to prevent electrocution.

Learn more about red reset button.

brainly.com/question/7643711

#SPJ1

8 0
2 years ago
A 4.25 kg block is sent up a ramp inclined at an angle theta=37.5° from the horizontal. It is given an initial velocity ????0=15
wel

Answer:

d = 11.79 m

Explanation:

Known data

m=4.25 kg  : mass of the block

θ =37.5°  :angle θ of the ramp with respect to the horizontal direction

μk= 0.460  : coefficient of kinetic friction

g = 9.8 m/s² : acceleration due to gravity

Newton's second law:

∑F = m*a Formula (1)

∑F : algebraic sum of the forces in Newton (N)

m : mass s (kg)

a : acceleration  (m/s²)

We define the x-axis in the direction parallel to the movement of the block on the ramp and the y-axis in the direction perpendicular to it.

Forces acting on the block

W: Weight of the block : In vertical direction

N : Normal force : perpendicular to the ramp

f : Friction force: parallel to the ramp

Calculated of the W

W= m*g

W=  4.25 kg* 9.8 m/s² = 41.65 N

x-y weight components

Wx= Wsin θ= 41.65*sin 37.5° = 25.35 N

Wy= Wcos θ =41.65*cos 37.5° =33.04 N

Calculated of the N

We apply the formula (1)

∑Fy = m*ay    ay = 0

N - Wy = 0

N = Wy

N = 33.04 N

Calculated of the f

f = μk* N= 0.460*33.04

f = 15.2 N

We apply the formula (1) to calculated acceleration of the block:

∑Fx = m*ax  ,  ax= a  : acceleration of the block

-Wx-f = m*a

 -25.35-15.2 = (4.25)*a

-40.55 =  (4.25)*a

a = (-40.55)/ (4.25)

a = -9.54 m/s²

Kinematics of the block

Because the block moves with uniformly accelerated movement we apply the following formula to calculate the final speed of the block :

vf²=v₀²+2*a*d Formula (2)

Where:  

d:displacement  (m)

v₀: initial speed  (m/s)

vf: final speed   (m/s)

Data:

v₀ = 15 m/s

vf = 0

a = -9.54 m/s²

We replace data in the formula (2)  to calculate the distance along the ramp the block reaches before stopping (d)

vf²=v₀²+2*a*d

0 = (15)²+2*(-9.54)*d

2*(9.54)*d =   (15)²

(19.08)*d = 225

d = 225 / (19.08)

d = 11.79 m

3 0
3 years ago
Assume the acceleration of the object is a(t) = −9.8 meters per second per second. (Neglect air resistance.) With what initial v
lukranit [14]

Answer:

Vi = 94.64 m/s

Explanation:

I order to find out the initial velocity of the object, we can use third equation of motion:

2ah = Vf² - Vi²

where,

a = acceleration = -9.8 m/s²

h = maximum height covered by object = 460 m - 3 m = 457 m

Vf = Final Velocity = 0 m/s (since, object momentarily stops at highest point)

Vi = Initial Velocity = ?

Therefore,

2(-9.8 m/s²)(457 m) = (0 m/s)² - Vi²

Vi = √8957.2 m²/s²

<u>Vi = 94.64 m/s</u>

3 0
3 years ago
Which of the following is an example of an insulator?
charle [14.2K]

Answer:

Hey mate

Answer is glass

7 0
3 years ago
Read 2 more answers
Other questions:
  • An image formed by a mirror is virtual, upright, the same size as the object, and the same distance from the mirror as the objec
    15·2 answers
  • Humans first appeared during the _____.
    8·2 answers
  • What are mixtures that have floating particles called?
    7·1 answer
  • The table shows the potential energy and kinetic energy of a skier at two different positions on a hill.
    6·2 answers
  • In an electromagnetic wave in free space, the ratio of the magnitudes of electric and magnetic field vectors E and B is equal:__
    11·1 answer
  • Tech A says that an overdrive gear ratio means the input gear turns faster than the output gear. Tech B says that overdrive rati
    7·1 answer
  • Suppose an ice hockey puck strikes a hockey stick that lies flat on the ice and is free to move in any direction. Which
    14·1 answer
  • Students asked to measure the temperature of a reaction beaker recorded the following temperatures. 103.7°C, 108.4°C, 105.8°C, 1
    15·1 answer
  • I need help with these questions thank u
    15·1 answer
  • I need written answer with solution:-
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!