When the temperature of a rod is changed, the length of the rod would change. This is called the linear expansion. The expansion depends on the material, the change in temperature, and the change in length of the rod. Quantitatively, the change in length can be expressed as: AL=aLAT where a is the coefficient of linear expansion, L is the original length of the rod, and AT=Tr-T, is the change in temperature. The coefficient of linear expansion can be measured by measuring the original length of the rod, the changes in length AZ and the change in temperature AT. Write an expression for calculating a in terms of the original length L, the change in length AL, the initial and the final temperature of the rod. a= In this lab, the change in length AL will be measured by the movement of a pointer. AL is proportional to the movement e. AL = e/10. If the uncertainty in measuring e is de, then what is the expression of the relative uncertainty in AL? (Hint: there is no uncertainty in 10.) 8(AL)/(AL) = The temperature difference is AT=Tr-T₁. If the uncertainty in measuring each temperature is ST, write
When the temperature of a rod is changed, the length of the rod would change. This is called the linear expansion. The expansion depends on the material, the change in temperature, and the change in length of the rod. Quantitatively, the change in length can be expressed as: AL=aLAT where a is the coefficient of linear expansion, L is the original length of the rod, and AT=Tr-T, is the change in temperature. The coefficient of linear expansion can be measured by measuring the original length of the rod, the changes in length AZ and the change in temperature AT. Write an expression for calculating a in terms of the original length L, the change in length AL, the initial and the final temperature of the rod. a= In this lab, the change in length AL will be measured by the movement of a pointer. AL is proportional to the movement e. AL = e/10. If the uncertainty in measuring e is de, then what is the expression of the relative uncertainty in AL? (Hint: there is no uncertainty in 10.) 8(AL)/(AL) = The temperature difference is AT=Tr-T₁. If the uncertainty in measuring each temperature is ST, write
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
I need the parts from "The relative uncertainty in deltaT is" all the way to the uncertainty of alpha, so the last 3 parts. Please show work.
Transcribed Image Text:When the temperature of a rod is changed, the length of the rod would change. This is called the linear
expansion. The expansion depends on the material, the change in temperature, and the change in length of
the rod. Quantitatively, the change in length can be expressed as:
AL=aLAT
where a is the coefficient of linear expansion, L is the original length of the rod, and AT =
change in temperature.
8(AL)/(AL) =
1011
Pre-lab Coefficient of Linear Expansion
The coefficient of linear expansion can be measured by measuring the original length of the rod, the
changes in length AL and the change in temperature AT. Write an expression for calculating a in terms of
the original length L, the change in length AL, the initial and the final temperature of the rod.
α =
In this lab, the change in length AL will be measured by the movement of a pointer. AL is proportional to
the movement e. AL = e/10. If the uncertainty in measuring e is de, then what is the expression of the
relative uncertainty in AL? (Hint: there is no uncertainty in 10.)
δ(ΔΤ) =
The temperature difference is AT=Tr-T₁. If the uncertainty in measuring each temperature is ST, write
an expression for the absolute uncertainty in 4T.
8(AT)/(AT) =
The relative uncertainty in 4T is
The coefficient of linear expansion can be calculated by using
da =
e
10
L(Tr− T)
If the uncertainty in the original length is (8L), write an expression for calculating the uncertainty in a.
da/α==
α=
=Tr-T, is the
H-1P.1
=
AL
LAT
Hoot & Fluid
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