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
Igoryamba
3 years ago
8

A baton twirler is twirling her aluminum baton in a horizontal circle at a rate of 2.33 revolutions per second. A baton held hor

izontally. Calculate the induced emf between the center and one end of the baton if the magnetic field of the Earth is 0.500 gauss and is oriented at 14.42 with respect to the horizontal. Assume the baton is 60.1 cm in length.
Physics
1 answer:
Nata [24]3 years ago
6 0

Answer:

Explanation:

Given that;

horizontal circle at a rate of 2.33 revolutions per second

the magnetic field of the Earth is 0.500 gauss

the baton is 60.1 cm in length.

the magnetic field  is oriented at 14.42°

we wil get the area due to rotation of radius of baton is

\Delta A = \frac{1}{2} \Delta \theta R^2

The  formula for the induced emf is

E = \frac{\Delta  \phi}{\Delta  t}

\phi  = \texttt {magnetic flux}

E=\frac{\Delta (BA) }{\Delta  t}

=B\frac{\Delta  A}{\Delta  t}

B is the magnetic field strength

substitute

\texttt {substitute}\  \frac{1}{2} \Delta \theta R^2 \ \ for \Delta  A

E=B\frac{(\Delta  \theta R^3/2)}{\Delta  t} \\\\=\frac{1}{2} BR^2\omega

The magnetic field of the earth is oriented at 14.42

\omega =2.33\\\\L=60.1c,\\\\\theta=14.42\\\\B=0.5

we plug in the values in the equation above

so, the induce EMF will be

E=\frac{1}{2} \times (B\sin \theta)R^2\omega\\\\E=\frac{1}{2} \times (B\sin \theta)(\frac{L}{2} )\omega

=\frac{1}{2} \times0.5gauss\times\frac{0.0001T}{1gauss} \times\sin 14.42\times(\frac{60.1\times10^-^2m}{2} )^2(2.33rev/s)(\frac{2\pi rad}{1rev} )\\\\=2.5\times10^-^5\times0.2490\times0.0903\times14.63982\\\\=2.5\times10^-^5\times0.32917\\\\=8.229\times10^-^6V

You might be interested in
Help me people( ◜‿◝ )♡​
almond37 [142]

Answer:

4

Explanation:

the temperature at and above which vapor of the substance cannot be liquefied, no matter how much pressure is applied.

6 0
2 years ago
Read 2 more answers
What are examples of convection currents?
hram777 [196]

Answer:

I would say all of the above.

Explanation:

Look below for more examples

5 0
2 years ago
William Gilbert used a terella in an attempt to explain _____.
Alex787 [66]

Answer:

why compasses point towards the north and south poles of the earth.

Explanation:

hope it helps!!

6 0
2 years ago
In addition to average weather conditions, climatological data also describes annual variations and fluctuations of temperature,
drek231 [11]

<u>Answer:</u>

In addition to average weather conditions, climatological data also describes annual variations and fluctuations of temperature, precipitation, wind speed and other variables.

<u>Explanation</u>:

A lot many observations are made all around the world regarding the weather each day. These observations and analysis are done by humans as well as automated instruments. The weather data is collected each day all year and any inaccuracies and discrepancies are checked and rectified. The results are later then presented as the climate data. There are various factors that are taken into consideration while determining the climate of a region. Apart from the factors that are already mentioned, wind speed is also one of the other variables.

8 0
2 years ago
If your speed changes from 10 km/h to 6 km/h, you have a(n) ______ acceleration.
Delicious77 [7]

If your speed changes from 10 km/h to 6 km/h then
you have an acceleration. 

Whether it's a positive or negative one completely depends
on which direction you decided to call the positive direction,
when you started considering your speed and its changes.

If you decided to call the direction in which you're traveling
the positive direction, then a decrease in your speed is a
negative acceleration. 

But you could just as easily have said that you're traveling
in the negative direction.  If you did that, then a decrease in
your speed would be a positive acceleration.

It's completely up to you, and how you define things.

8 0
3 years ago
Read 2 more answers
Other questions:
  • A capacitor acquires a charge of 0.003 C when connected across a 30-V battery. Its capacitance is _____.
    10·1 answer
  • An airplane has a momentum of 22,125 kg*m/s. if the airplane moves at a speed of 25 m/s. what is its mass?
    12·1 answer
  • why people change their way of being They can be temporary or permanent changes. Other reasons why people change their attitudes
    9·1 answer
  • In which type of process is a gas heated so rapidly that is expands before any heat can escape, resulting in an absence of heat
    9·1 answer
  • A current of 17 A flows through a resistor of 10 2. What is the voltage<br> across the resistor
    10·1 answer
  • Anya is observing an organism in the laboratory. The table below shows her observations. *
    10·1 answer
  • HELP ASAP!!!!!!! PLEASE WILL GIVE BRAINLIEST
    11·1 answer
  • A vehicle of mass 100kg has a kinetic energy of 5000 J at an instant. The velocity at that instant is​
    7·2 answers
  • Classify each of the following hydro carbons as alkane,alkene or alkyne
    13·1 answer
  • Two point charges attract each other with an electric force of magnitude F. If the charge on one of the particles is reduced to
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!