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how would you calculate the density of a penny

by Mr. Elliot Flatley Published 3 years ago Updated 2 years ago

Measure the diameter of one penny with a ruler, multiply by 1/2, square the result, multiply by pi to find the surface area, then multiply again by 5 centimeters to get the volume. Next, weigh the stack on an accurate scale. Divide the weight in grams by the volume to get the density.Mar 15, 2018

Full Answer

How to calculate the density of a penny?

  • Take a measuring cylinder, a calibrated one
  • fill some water in it and measure the initial volume , for better accuracy please keep your eye position leveled with the intial watermark
  • Now weigh your test solid object in a pen balance
  • Drop it in the measuring cylinder , and you will notice the water level rising

More items...

How can you calculate the density of Penny?

teaching notes

  • histogram of thickness measurements - These usually range from 1.2 to 1.6 mm and should peak at 1.52mm for new unworn pennies, unless there is a bias in the measurement. ...
  • histogram of mass measurements - This can be a very interesting plot to make. ...
  • scatterplot of date vs mass - This plot gives proof that pennies changed in 1982 (see figure 6). ...

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Why is there a D on a penny?

With the addition of the 1982-D Small Date copper penny — which was made at the Denver Mint and has a “D” mintmark — there are now 9 known 1982 penny varieties. It’s theorized that the 1982-D Small Date copper penny was created when a brass planchet, or prepared coin blank, was left in the Mint’s coin hopper by accident and was inadvertently fed into the coining presses.

What has more density a penny or a Cork?

  • 3 150 ml beakers (or use glass jars or clear plastic cups)
  • 10 ml graduated cylinder (or tall, narrow glass)
  • pipet
  • water
  • salt
  • sugar

How do you calculate density?

The Density Calculator uses the formula p=m/V, or density (p) is equal to mass (m) divided by volume (V). The calculator can use any two of the values to calculate the third.

What is the density of coin?

The new coins were made of a copper core (density = 8.9 g/ml) plated with nickel (density = 8.9 g/ml). In appearance, size, and volume, the coins remained identical to those minted before 1964 (see the 1932 quarter below).

What is the density of a copper penny?

8.96 g/mLAccording to the US Mint (www.usmint.gov), pennies minted before 1982 are made of copper. Copper has a density of 8.96 g/mL. Compare the density you calculated for pennies minted before 1982 to this accepted density.

What is the formula for a penny?

The alloy remained 95 percent copper and 5 percent zinc until 1982, when the composition was changed to 97.5 percent zinc and 2.5 percent copper (copper-plated zinc). Cents of both compositions appeared in that year. The penny's original design was suggested by Ben Franklin.Jun 21, 2016

What is the density of a pencil?

A pencil has a density of . 875 g/ml. It has a mass of 3.5 grams.

How does the density of one penny compared with the density of two pennies?

4. How does the density of one penny compare with the density of two pennies? Density of 1 penny = 2.6 g / 0.36 cm3 = 7.2 g/cm3 Density of 2 pennies = 5.2 g / 0.72 cm3 = 7.2 g/cm3 The density of one penny is the same as the density of two pennies.

What is the density of the pennies in your trial?

The density of pennies made before 1982 was measured to be 8.79 g/mL, while the density of pennies made after 1982 was measured at 6.90 g/mL.

What is the density of a penny in g cm3?

7.185 g/cm3From 1962 until 1981, the US cent coin was made of copper (95%) and zinc (5%). These pennies have a density of 8.85 g/cm3. After 1982, the US mint changed the composition of the cent coin to zinc (97.5%) and copper (2.5%). These pennies have a density of 7.185 g/cm3.

What is the densest coin?

Both metals have a theoretical density that is slightly above 22.5g/cc, making them the densest elements in existence. The osmiridium coins will be the first-ever precious metal coins that can be traded with absolute confidence between people with no special analytical knowledge.May 10, 2017

How do you calculate how many grams of copper in a penny?

3:3644:10Calculations: Percent Copper in a Penny - YouTubeYouTubeStart of suggested clipEnd of suggested clipBy the mass of the filed penny. And then percent by mass means i multiply it by a hundred becauseMoreBy the mass of the filed penny. And then percent by mass means i multiply it by a hundred because percent by mass is part over whole.

What is the volume of a penny?

A new penny has a mass of 2.49 grams and a volume of 0.349 cm3.

What is the density of the alloy used to make pennies in grams per milliliter?

Mint produced more than 130 billion pennies. Then, in 1982 the Mint introduced a penny that is 97.6 percent zinc and only 2.4 percent copper with a density of 7.2 g/mL.

How much does a penny weigh?

A penny typically weighs between 2.4 and 3.2 grams, depending on the year of manufacture and wear. The diameter and thickness can be measured with a ruler to a precision of about half a millimeter, maybe a little better. The diameter of a penny is nominally 19.05mm and the thickness is nominally 1.52mm at the rim. 1.

What is the measurement uncertainty of a penny?

The reason is that the measurement uncertainty (about half a millimeter using a ruler) is a large fraction of the thickness of the penny. It amounts to about 30% uncertainty (0.5mm/1.5mm ≈ 30%) and will produce about a 30% uncertainty in the density.

Learning Goals

Students should learn how to measure mass and volume and how to compute density. They should then be able to use these skills to predict the results of a similar experiment. They should also be able to calculate the purity of a solid metal object.

Description and Teaching Materials

This lesson is used to reinforce the teachings of density and the application to metals. This is also a good time to tell the story of Archimedes.

Assessment

Assess the quality of the data tables and include questions about the lab on a later test. During the lab, identify the groups having trouble and orally quiz as many students as possible.

What is the Greek symbol for density?

The density of a material, typically denoted using the Greek symbol ρ, is defined as its mass per unit volume. The calculation of density is quite straightforward. However, it is important to pay special attention to the units used for density calculations.

Does pressure affect density?

Note that density is also affected by pressure and temperature. In the case of solids and liquids, change in density is typically low. However, when regarding gases, density is largely affected by temperature and pressure. An increase in pressure decreases volume, and always increases density.

How to calculate density?

To calculate density, you divide the mass by the volume: Density = Mass ÷ Volume.

How to find density in math?

Density = Mass ÷ Volume. Density is often written in mathematics as the symbol p or D. Mass can be written as m, and volume can be written as V. So if you want to be fancy, the formula looks like this:

Do feathers feel dense?

So - hey - don't feel dense.

How to find density of a fluid?

How can I calculate the density of a fluid? 2 fairly easy possibilities. 1 - weigh a determined volume of the fluid, as the density is a weight per volume. 2 - weigh a box (empty preferably, so it will float), put the box in the fluid mark the line where the fluid reach, calculate the immersed volume of the box.

How to measure volume?

A common way to measure volume is to put the object in a graduated cylinder and read the water displacement. For the resin this may be difficult, since usually you have small quantities and therefore you’d find a little displacement. So what you may do is find a small container with a fixed volume, for instance a plastic syringe ...

How much does a 500 ml flask weigh?

500 ml flask, weighing 125 grams, filled with liquid, combined weight 786 grams, weight of liquid 661 grams. 661 grams divided by 500 ml gives 1.322 gram per ml. Working in a lab, I used a density cup, most commonly one with a 10 ml volume.

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