1. The body massmassmass is the measure of the quantity of matter.
2. Body volumevolumevolume is the space occupied by all atoms of this body.
3. DensitydensityDensity of the physical body - d is determined with the formula: , where m – is the massmassmass of the tested physical body, V – is the volumevolumevolume of the tested body. The unit of density in the SI system is .
4. The densitydensitydensity of bodies depends on the their state of matter. The density of solids and liquids is similar and ranges from 900 to 19320 for gold. The density of gases is much lower and ranges from 0,09 for hydrogen to 5,9 for xenon.
To determine the densitydensitydensity of bodies with regular shapes, it is sufficientsufficientsufficient to measure the body massmassmass and measure its linear dimensions.
1. Determine the massmassmass of the ball with the scale.
2. Determine the diameterdiameterdiameter (D) of the ball using the calipercalipercaliper.
3. Calculate the volumevolumevolume of the ball using the following formula:
where: V - is the ball volumevolumevolume [cmIndeks górny 33], - the constant which equals to 3,14, r - the radiusradiusradius of the ball equals to [cm].
4. Calculate the densitydensitydensity of the material which the ball is made of.
5. Compare the result you received with the value of material densitydensitydensity from the density table.
Determining the volumevolumevolume of the body with a regular shaperegular shaperegular shape in the form of a ball requires only measuring the diameterdiameterdiameter of the ball. Using the formula for the volume of the ball makes it easier to determine the actual volume of the ball, without having to dip it into water.
1. Determine the massmassmass of water using the scales.
Weigh the glass with the massmassmass mIndeks dolny ss =
Weigh the glass with water, write its massmassmass mIndeks dolny s,ws,w =
Calculate the massmassmass of water mIndeks dolny ww = mIndeks dolny s,w Indeks dolny koniecs,w - mIndeks dolny ss
2. Determine the diameterdiameterdiameter of the glass (D) using the calipercalipercaliper.
3. Determine the height of water column h =
4. Calculate the volumevolumevolume of water using the formula for the volume of the cylindercylindercylinder:
where: V - is the volumevolumevolume of the cylindercylindercylinder [cmIndeks górny 33], - is the constant which equals 3,14, r - is the radiusradiusradius of the cylinder base and equals [cm].
Determining the volumevolumevolume of the body with a regular shaperegular shaperegular shape in the form of a cylindercylindercylinder requires only measuring the diameterdiameterdiameter of the base of the cylinder and its height. The usage of the formula for the cylinder volume makes it easier to determine the actual volume of the cylinder. Taking into consideration the fact that water takes the shape of the container makes it easier to calculate its actual volume.
Suggest a description of the experiment in which you can determine the densitydensitydensity of air. Add some information about the topic, the equipment and the instructions.
Decide if the sentences below are true or false and select all the correct answers.
a) The diameterdiameterdiameter of the cylindercylindercylinder can be measured using the calipercalipercaliper.
b) The diameterdiameterdiameter of the ball can be accurately measured using the calipercalipercaliper.
c) The diameterdiameterdiameter of the ball can be easily measured with the ruler.
d) The volumevolumevolume of a straight cylindercylindercylinder is calculated with the formula:
where: V - is the volumevolumevolume of the cylindercylindercylinder [cmIndeks górny 33], – is the constant which equals 3,14, r - is the radiusradiusradius of the cylinder base which equals [cm].
Ilustracja interaktywna przedstawia trzy elektryczne wagi wskazujące wagę 1 kg, oznaczone od lewej numerami 1, 2 i 3. Na wadze 1 znajduje się sześcian ze styropianu (styrofoam) o boku 40 cm. Na wadze 2 znajduje się sześcian z korka (cork) o boku 15 cm. Na wadze 3 znajduje się sześcian ze stali (steel) o boku 5 cm. Na ilustracji widoczne są numery, a na nich podpisy. 1. The styrofoam density is very small but it is about 10 times greater than the air density. {audio}, 2. The density of the cork is smaller than the density of water. Therefore, the cork floats on the water. {audio}, 3. The density of steel is very large, over 700 times greater than the density of styrofoam. {audio}.
Ilustracja interaktywna przedstawia trzy elektryczne wagi wskazujące wagę 1 kg, oznaczone od lewej numerami 1, 2 i 3. Na wadze 1 znajduje się sześcian ze styropianu (styrofoam) o boku 40 cm. Na wadze 2 znajduje się sześcian z korka (cork) o boku 15 cm. Na wadze 3 znajduje się sześcian ze stali (steel) o boku 5 cm. Na ilustracji widoczne są numery, a na nich podpisy. 1. The styrofoam density is very small but it is about 10 times greater than the air density. {audio}, 2. The density of the cork is smaller than the density of water. Therefore, the cork floats on the water. {audio}, 3. The density of steel is very large, over 700 times greater than the density of styrofoam. {audio}.
The densitydensitydensity of the body with regular shapes requires measuring its massmassmass and its dimensions. On their basis the body volumevolumevolume can be determined using the calculation method. The density is determined with the density formula:
Exercises
R1TRcSGqgDjGe
Exercise 3
Wersja alternatywna ćwiczenia: Determine which sentences are true. Możliwe odpowiedzi: 1. The result of measuring water density in a measuring glass is the same on the Moon and on the Earth, because the mass of the tested water has not changed., 2. If the density of the substance of which the tested body was made is constant, a threefold increase in its volume will cause a threefold decrease in its mass., 3. In order to determine the density of a cylinder made of steel, you need to know its temperature and the area of its surface., 4. In order to determine the density of a cylinder made of wood, you need to know the value of its mass, the diameter of the base and its height., 5. In order to determine the volume of a irregularly shaped body, you must use a measuring glass with water.
Wersja alternatywna ćwiczenia: Determine which sentences are true. Możliwe odpowiedzi: 1. The result of measuring water density in a measuring glass is the same on the Moon and on the Earth, because the mass of the tested water has not changed., 2. If the density of the substance of which the tested body was made is constant, a threefold increase in its volume will cause a threefold decrease in its mass., 3. In order to determine the density of a cylinder made of steel, you need to know its temperature and the area of its surface., 4. In order to determine the density of a cylinder made of wood, you need to know the value of its mass, the diameter of the base and its height., 5. In order to determine the volume of a irregularly shaped body, you must use a measuring glass with water.
Determine which sentences are true.
The result of measuring water density in a measuring glass is the same on the Moon and on the Earth, because the mass of the tested water has not changed.
If the density of the substance of which the tested body was made is constant, a threefold increase in its volume will cause a threefold decrease in its mass.
In order to determine the density of a cylinder made of steel, you need to know its temperature and the area of its surface.
In order to determine the density of a cylinder made of wood, you need to know the value of its mass, the diameter of the base and its height.
In order to determine the volume of a irregularly shaped body, you must use a measuring glass with water.
Exercise 4
The 20 cmIndeks górny 33 brick was hung on a dynamometer. The dynamometer indicated the value of 1,7920 N. Calculate the density of the material of which the brick was made. Write the name of this material.
8,960 - it is copper.
Exercise 5
Write in English: What is the aerogel, where is it applicable and what density can it have?
It is a kind of rigid foam with a very low density of 1,9‑150 . It is used for the construction of spacecrafts and to create an insulating layer of astronaut suits.
R1W4TkspsqB9O
Exercise 6
Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. gęstość - density, 2. objętość - volume, 3. masa - mass, 4. suwmiarka - diameter, 5. średnica - caliper
Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. gęstość - density, 2. objętość - volume, 3. masa - mass, 4. suwmiarka - diameter, 5. średnica - caliper
Indicate which pairs of expressions or words are translated correctly.
gęstość - density
objętość - volume
masa - mass
suwmiarka - diameter
średnica - caliper
zadanie
Source: GroMar, licencja: CC BY 3.0.
RvWi7pyaYbtXD1
Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Match Polish terms with their English equivalents.
średnica
suwmiarka
density
caliper
diameter
objętość
mass
gęstość
masa
volume
Source: Zespół autorski Politechniki Łódzkiej, licencja: CC BY 3.0.