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Sedbober [7]
3 years ago
11

Para fabricar la bicicleta de un niño pequeño se tiene en cuenta que la fuerza que puede desarrollar es menor que la de un adult

o y que no sabe cambiar de desarrollo. Por ello, se fabrica con un solo plato y un solo piñón de desarrollo muy pequeño. El plato es de 28 dientes y el radio de la rueda mide 20 cm. Si queremos que el desarrollo sea de 1,4 calcula: - El número de dientes que debe tener el piñón de la bicicleta. - Cuántos metros avanza la bicicleta por cada pedalada completa.
Physics
1 answer:
Georgia [21]3 years ago
3 0

Answer:

a) El piñón debe tener 20 dientes.

b) La bicicleta avanza aproximadamente 1,759 metros por cada pedaleada completa.

Explanation:

a) El plato es el engranaje más grande que forma parte del sistema de transmisión, acompañando a la cadena y el piñón integrado a la rueda trasera. Asumiendo que no existen pérdidas por fricción seca y que las condiciones de lubricación del sistema de transmisión son óptimas tal que las pérdidas de potencia son despreciables. Además, supongamos que la bicicleta viaja a velocidad constante, entonces tenemos la siguiente identidad mediante las definiciones de trabajo y potencia:

T_{P}\cdot \omega_{P} = T_{p}\cdot \omega_{p} (1)

Donde:

T_{P} - Torque del plato, en newton-metros.

T_{p} - Torque del piñón, en newton-metros.

\omega_{p} - Rapidez angular del piñón, en radianes por segundo.

\omega_{P} - Rapidez angular del plato, en radianes por segundo.

Sabiendo el hecho que tanto el plato y el piñón experimenta la misma velocidad tangencial, podemos simplificar (1) como sigue:

\frac{T_{P}}{R_{P}} = \frac{T_{p}}{R_{p}} (1b)

Puesto que el radio de cada elemento y el número de dientes son, por separado, directamente proporcionales al número de dientes, modificamos (1b) así y tenemos la siguiente identidad, la cual equivale a su vez a la razón de desarrollo:

\frac{T_{P}}{T_{p}} = \frac{N_{P}}{N_{p}} = \frac{R_{P}}{R_{p}} = \frac{\omega_{p}}{\omega_{P}} (1c)

Donde:

N_{p} - Número de dientes del piñón, sin unidad.

N_{P} - Número de dientes del plato, sin unidad.

Si tenemos que r = 1,4 y N_{P} = 28, entonces tenemos que el número de dientes del piñón es:

r = \frac{N_{P}}{N_{p}}

N_{p} = \frac{N_{P}}{r}

N_{p} = \frac{28}{1,4}

N_{p} = 20

El piñón debe tener 20 dientes.

b) De acuerdo con la relación de desarrollo, por cada revolución realizada por el plato, el piñón realiza 1,4 revoluciones. Entonces, el avance realizado por la rueda trasera (s), en metros, es igual al productor de la relación de desarrollo y la circunferencia de la rueda, es decir:

s = r\cdot 2\pi\cdot R (1)

Donde R es el radio de la rueda trasera, en metros.

Si conocemos que r = 1,4 y R = 0,2\,m, entonces el avance realizado por la rueda trasera es:

s = r\cdot 2\pi\cdot R

s = (1,4)\cdot (2\pi)\cdot (0,2\,m)

s \approx 1,759 \,m

La bicicleta avanza aproximadamente 1,759 metros por cada pedaleada completa.

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When you use paper money to pay for food, the money is a _____.
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Answer: The correct answer for the fill in the blank is - medium of exchange.

Explanation-

When we use paper money to pay for food, the money is a medium of exchange as  we are exchanging our money with their food. So, it plays a role of medium of exchange in purchasing our food.

On the other hand, unit of account is also a feature of money but it only indicates the price of food at which we are purchasing it. Store of value is used when we store our money as a wealth, then it becomes store of value .

Hence, medium of exchange is the correct answer.

8 0
3 years ago
(EXPLAIN) why is mercury thermometer a element? if you explain correctly you will get brainliest
shutvik [7]

Mercury looks pretty, in its shiny, fast-moving liquid form, but don't touch! It can be extremely poisonous to humans.

The symbol Hg that mercury is known by comes from its Greek name, hydrargyrum, which means "liquid silver" — to reflect its shiny surface. The element is also known as quicksilver for its mobility. Named after the fastest-moving planet in the solar system, mercury has been known to humanity for ages. In fact, evidence of its use has been found in China, India and Egypt, and traces of mercury were found in 3,500-year-old Egyptian tombs.

Mercury is a very toxic element. It can enter the body through an open wound or by inhaling or ingesting it. It can then cause damage to nerves, the liver and the kidney, as well as a number of other symptoms.

Despite its toxic qualities, mercury can still be useful to us. The element conducts electricity and is used in electrical switches of thermostats and certain types of doze alarm-type alarm clocks, according to the College of Natural Resources at the University of California, Berkeley (CNR) "The place where people probably see it most commonly is in the new light bulbs — the compact fluorescent light bulbs," where mercury vapor is one of the chemicals used, said Daniel King, an associate professor of chemistry at Drexel University.

Due to its high density and compactness, mercury is also used to make thermometers, barometers and other scientific instruments, according to the Jefferson Lab. However, for safety reasons, consumer use of mercury in thermometers has become less common over the years, as digital thermometers have been introduced. In 2008, 13 states introduced laws that limit the manufacture, sale and/or distribution of mercury fever thermometers: California, Connecticut, Illinois, Indiana, Maine, Maryland, Massachusetts, Michigan, Minnesota, New Hampshire, Rhode Island, Oregon, Washington, the Environmental Protection Agency reports.

Just the facts

Atomic number (number of protons in the nucleus): 80

Atomic symbol (on the Periodic Table of Elements): Hg

Atomic weight (average mass of the atom): 200.59

Density: 13.5336 grams per cubic centimeter

Phase at room temperature: Liquid

Melting point: minus 37.8 degrees Fahrenheit (minus 38.83 degrees Celsius)

Boiling point: 674.11 F (356.73 C)

Number of isotopes (atoms of the same element with a different number of neutrons): 34. Number of stable isotopes: 7

Most common isotope: 202Hg (29.9 percent natural abundance)

Mercury is typically found in the form of its common ore cinnabar — mercury sulfite — and can rarely be found on its own. To extract pure mercury, the ore is ground up and heated to the temperature of about 1,076 degrees F (580 degrees Celsius) with oxygen present in the process. Mercury vapor escapes from the ores and sulfur dioxide is removed, according to CNR. The metal is condensed and washed with nitric acid to purify it, and then distilled.

Mercury can form alloys with gold, silver, zinc and cadmium, which are called amalgams. Through those amalgams, mercury can be used to extract gold from rocks. When mercury comes into contact with gold, the gold dissolves into the mercury and then the two are separated, with the mercury being distilled off.

Mercury also forms compounds with other elements. Interestingly, one of such compounds — mercury nitrate — played a role in the coining of the term "mad as a hatter."

"Mercury was actually used in the making of hats from animal pelts," King said. In the 18th century people used the mercury nitrate compound to clean the pelts before they turned them into hats.

"And they discovered that a large percentage of the people who were working with those chemicals ended up suffering from brain damage," he said. "So the term 'mad as a hatter' actually comes from exposure to mercury."

3 0
3 years ago
An electric motor can drive grinding wheel at two different speeds. When set to high the angular speed is 2000 rpm. The wheel tu
shutvik [7]

a) The initial angular speed is 209.3 m/s

b) The angular acceleration is -1.74 rad/s^2

c) The angular speed after 40 s is 139.7 rad/s

d) The wheel makes 1501 revolutions

Explanation:

a)

The initial angular speed of the wheel is

\omega_i = 2000 rpm

which means 2000 revolutions per minute.

We have to convert it into rad/s. Keeping in mind that:

1 rev = 2\pi rad

1 min = 60 s

We find:

\omega_i = 2000 \frac{rev}{min} \cdot \frac{2\pi rad/rev}{60 s/min}=209.3 rad/s

b)

To find the angular acceleration, we have to convert the final angular speed also from rev/min to rad/s.

Using the same procedure used in part a),

\omega_f = 1000 \frac{rev}{min} \cdot \frac{2\pi rad/rev}{60 s/min}=104.7 rad/s

Now we can find the angular acceleration, given by

\alpha = \frac{\omega_f - \omega_i}{t}

where

\omega_i = 209.3 rad/s is the initial angular speed

\omega_f = 104.7 rad/s is the final angular speed

t = 60 s is the time interval

Substituting,

\alpha = \frac{104.7-209.3}{60}=-1.74  rad/s^2

c)

To find the angular speed 40 seconds after the initial moment, we use the equivalent of the suvat equations for circular motion:

\omega' = \omega_i + \alpha t

where we have

\omega_i = 209.3 rad/s

\alpha = -1.74 rad/s^2

And substituting t = 40 s, we find

\omega' = 209.3 + (-1.74)(40)=139.7 rad/s

d)

The angular displacement of the wheel in a certain time interval t is given by

\theta=\omega_i t + \frac{1}{2}\alpha t^2

where

\omega_i = 209.3 rad/s

\alpha = -1.74 rad/s^2

And substituting t = 60 s, we find:

\theta=(209.3)(60) + \frac{1}{2}(-1.74)(60)^2=9426 rad

So, the wheel turns 9426 radians in the 60 seconds of slowing down. Converting this value into revolutions,

\theta = \frac{9426 rad}{2\pi rad/rev}=1501 rev

Learn more about circular motion:

brainly.com/question/2562955

brainly.com/question/6372960

#LearnwithBrainly

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