Can someone explain/show how to set this problem up

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In summary, the hamster runs for 3.1 hours at an average angular velocity of 3.0 radians per second on a wheel with a 6.8 cm radius. To determine how far the hamster runs in one night, we need to convert the angular velocity to turns per second and find the time it takes to complete one full revolution. Then, we can use the circumference formula to find the distance traveled in one turn. This will give us the total distance the hamster runs in one night.
  • #1
Ion1776
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A hamster runs in its wheel for 3.1 hours every night. If the wheel has a 6.8 cm radius and its average angular velocity is 3.0 radians per second, how far does the hamster run in one night?
 
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  • #2
I would convert that 3 radians into a number of turns. I think a full turn is 2*pi radians, so it is about half a turn per second. How far does the hamster go in a turn?
 
  • #3
So, 3.0/2pi=.4774648

3.1 hours * 3600secs=11160 Secs

Now what to do with the radius, and what equation to use

thanks
 
  • #4
Not quite, look at your units. He runs at 3rads/s and the entire circle is 2pi rads. You want to find the time it takes to go through the entire circle. Once you find that you need to find how far one complete turn is. The hamster travels the circumference of the circle each revolution. How far is that?
 

Related to Can someone explain/show how to set this problem up

1. How do I set up a scientific problem?

To set up a scientific problem, you need to first identify the question you want to answer. Then, you need to gather all relevant data and information related to the problem. Next, you will need to develop a hypothesis and design a controlled experiment to test it. Finally, you will need to analyze your data and draw conclusions based on your findings.

2. What is the importance of setting up a problem in science?

Setting up a problem in science is crucial because it provides a structured and systematic approach to finding answers and understanding the natural world. It allows for reproducibility, validity, and accuracy in scientific research.

3. Can you explain the steps involved in setting up a problem?

The steps involved in setting up a problem in science include identifying the question, gathering data and information, developing a hypothesis, designing an experiment, conducting the experiment, analyzing the data, and drawing conclusions.

4. How do I know if I have set up a problem correctly?

You can determine if you have set up a problem correctly by following the scientific method and ensuring that your experiment is well-designed and controlled. Additionally, you can have your methodology and results reviewed by peers or experts in the field.

5. Can you provide an example of how to set up a scientific problem?

As an example, let's say you want to investigate the effect of different fertilizers on plant growth. You would first identify the question: "How do different fertilizers affect plant growth?" Then, you would gather data on different types of fertilizers and their nutrient compositions. Next, you would develop a hypothesis, such as "Plants treated with fertilizer A will grow taller than those treated with fertilizer B." You would then design an experiment, control all variables except for the type of fertilizer used, and measure the height of the plants after a set amount of time. Finally, you would analyze the data and draw conclusions based on your findings.

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