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In this week’s lab
we are going to examine uniform circular motion. We will be using a device
which allows us to vary three parameters involved in uniform circular
motion: the centripetal force, the radius of motion and the mass of the
object undergoing uniform circular motion.
In addition to this we can measure the period (time for one complete
rotation or cycle of motion) using a stopwatch. In our lab we
shall keep the radius and the force constant.
We shall vary the mass and see how that affects the period. Remember it is only uniform circular
motion if the object is traveling with a constant speed. |
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1. Write down the relationship between the
centripetal force and the centripetal acceleration. |
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2. Write centripetal acceleration in terms
of the constant speed the object is traveling with. |
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3. Write down how speed is
related to the period. |
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4. Combine the results of (1), (2), and (3)
to get an equation of the form F=.... |
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Simplifying |
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5. Rearrange part (4) to get an equation of
the form T = f (m). |
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which can be
reduced to |
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OVER à |
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6. This should be a power
law type equation. So, graphing this will not yield a straight line. We shall
do a ln-ln plot.
What will the slope be? |
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Slope is the
power of the independent variable (m) so Slope = 1/2 |
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7. What is the k constant in this equation? |
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k constant is |
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8. Which two of the previously mentioned
parameters appears in the k constant? |
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Radius and Centripetal Force |
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