we have to do this lab tomorrow. my teacher says that we have to "indirectly measure the radius" of a marble- he will only supply a ruler-plastic and a meter stick-wood
what am i supposed to do?
Use the ruler to measure the circumference of the marble as accuratley as you can, then divide the circumference by 3.14159, or pi. That should give you your answer.
the ruler is hard- plastic... how do i do this?
he also said that we would need to use 11 marbles
I'm wondering if the fact that the prof is supplying TWO measuring units means the accuracy can be increased over that suggested by amir. How about this? Place the marble on the floor and against the wall. Place the ruler (or the meter stick) against the marble to hold it in place. Now place the other measuring device against the wall and the index of the first unit (the one holding the marble in place)will act as a marker for the other unit. Read that "mark." Your question suggests that the ruler will be in the every day units while the meter stick will measure in meters. If this is so, you can measure in inches or you can measure in meters, depending upon how the two ruler/stick are placed.
Now you've changed the rules. Doing it my way you only need to use one marble. But I suppose you could line 11 marbles up against the corner and go through the procedure.
I think this is playing with the body centered cubic model.
The body diagonal has a length that is four times the radius of the atom, R.
The relationship between a (the length of the side) and R can be worked out by the Pythagorean theorem:
(4 R)^2 = 3 a^2
Only need to set up the base (4 marbles and one on top and measure the length of the side.
To indirectly measure the radius of a marble using a ruler-plastic and a meter stick-wood, you can follow these steps:
1. Start by placing the ruler-plastic on a flat surface, such as a table or desk.
2. Take the marble and place it next to the ruler, making sure that one side of the marble touches the zero mark of the ruler.
3. Looking from above, observe the marble and see where the opposite side of the marble lines up with the ruler. This will give you the diameter of the marble.
4. Divide the diameter measurement by 2 to get the radius of the marble.
Now, the meter stick-wood can be helpful if you need to verify your measurements or collect additional data. You can use it to measure the diameter of the marble directly, which will allow you to compare it to the indirect measurement you obtained using the ruler-plastic.
1. Place the meter stick-wood vertically on the flat surface, ensuring that it is secure and stands straight.
2. Take the marble and hold it against the meter stick, with one side of the marble touching the zero mark at the bottom of the meter stick.
3. Look at the meter stick and determine the measurement where the opposite side of the marble aligns. This will give you the diameter of the marble.
4. Divide the diameter measurement by 2 to get the radius, just as you did with the indirect measurement.
By comparing the indirect measurement obtained using the ruler-plastic with the direct measurement acquired using the meter stick-wood, you can verify the accuracy of both methods and assess the consistency of your results.