Question

At 17°C, a rod is exactly 20.10 cm long on a steel ruler. Both the rod...

At 17°C, a rod is exactly 20.10 cm long on a steel ruler. Both the rod and the ruler are placed in an oven at 261°C, where the rod now measures 20.21 cm on the same ruler. What is the coefficient of linear expansion for the material of which the rod is made?

Homework Answers

Answer #1

Given

   rod

initial

   T1 = 17 0C, l1 = 20.10 cm = 0.2010 m
final
   T2 = 261 0C, l2 = 20.21 cm = 0.2021 m


change in length is Dl = l2-l1 =0.2021 - 0.2010 = 0.0011 m

change in temperature is DT = T2-T1 = 261-17 = 244 0C

now the linear thermal expansion is Dl = l1*alpha(DT)

   now the coefficient of linear expansion alpha = Dl/(l1*DT)


   alpha = 0.0011/(0.2010*244)
   alpha = 2.24288394*10^-5 / 0C

the coefficient of linear expansion for the material of which the rod is made alpha = 2.24288394*10^-5 / 0C

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
At 22°C, a rod is exactly 24.49 cm long on a steel ruler. Both the rod...
At 22°C, a rod is exactly 24.49 cm long on a steel ruler. Both the rod and the ruler are placed in an oven at 230°C, where the rod now measures 24.60 cm on the same ruler. What is the coefficient of thermal expansion for the material of which the rod is made? The linear expansion coefficient of steel is 11 x 10-6 1/C°.
At 22°C, a rod is exactly 23.45 cm long on a steel ruler. Both the rod...
At 22°C, a rod is exactly 23.45 cm long on a steel ruler. Both the rod and the ruler are placed in an oven at 240°C, where the rod now measures 23.70 cm on the same ruler. What is the coefficient of thermal expansion for the material of which the rod is made? The linear expansion coefficient of steel is 11 x 10-6 1/C°.
A rod is measured to be exactly 21.29 cm long using a steel ruler at a...
A rod is measured to be exactly 21.29 cm long using a steel ruler at a temperature of 20.6°C. Both the rod and the ruler are placed in an oven with a temperature of 354.0 °C where the rod now measures 21.43 cm using the same ruler. What is the coefficient of thermal expansion for the material of which the rod is made?
A rod is measured to be exactly 24.80cm long using a steel ruler at a temperature...
A rod is measured to be exactly 24.80cm long using a steel ruler at a temperature of 24.3oC. Both the rod and the ruler are placed in an oven with a temperature of 268.0oC where the rod now measures 24.90cm using the same ruler. What is the coefficient of thermal expansion for the material of which the rod is made? In Kelvin please. This problem is using alpha for steel from Cutnell & Johnson, Table 12.1 Did you consider the...
A steel rod is 2.795 cm in diameter at 17.00°C. A brass ring has an interior...
A steel rod is 2.795 cm in diameter at 17.00°C. A brass ring has an interior diameter of 2.788 cm at 17.00°C. At what common temperature will the ring just slide onto the rod? The linear expansion coefficient of steel is 11.00 × 10-6 1/C°. The linear expansion coefficient of brass is 19.00 × 10-6 1/C°.
A steel rod is 2.689 cm in diameter at 35.00°C. A brass ring has an interior...
A steel rod is 2.689 cm in diameter at 35.00°C. A brass ring has an interior diameter of 2.684 cm at 35.00°C. At what common temperature will the ring just slide onto the rod? The linear expansion coefficient of steel is 11.00 × 10-6 1/C°. The linear expansion coefficient of brass is 19.00 × 10-6 1/C°. 4sig figs
A steel rod 30.0 m long, installed when the temperature was 10°C, is in a bridge...
A steel rod 30.0 m long, installed when the temperature was 10°C, is in a bridge that heats up to 40oC on a hot summer day. Steel's coefficient of linear expansion is 1.2 × 10-5 K-1. The bridge is built so the rod has an expansion space of 5 cm. Is this enough space? What is the increase in the length of the rod, in mm?
A cylindrical tungsten rod will fit exactly in a hole drilled in a plate of 316...
A cylindrical tungsten rod will fit exactly in a hole drilled in a plate of 316 stainless steel when both are heated to 130° C. The diameters of the rod and hole at 25°C are 10.000mm and 9.988mm respectively, and the coefficient of linear thermal expansion of 316 stainless steel is 16.0 x10-6/° C. Calculate the coefficient of linear expansion for tungsten.
A ruler is accurate when the temperature is 26.7 °C. When the temperature drops to -12.3...
A ruler is accurate when the temperature is 26.7 °C. When the temperature drops to -12.3 °C, the ruler shrinks and no longer measures distances accurately. However, the ruler can be made to read correctly if a force of magnitude 1.72 x 103 N is applied to each end so as to stretch it back to its original length. The ruler has a cross-sectional area of 1.39 x 10-5 m2, and it is made from a material whose coefficient of...
A steel rod is 3.000 cm in diameter at 33.0 °C. A brass ring has an...
A steel rod is 3.000 cm in diameter at 33.0 °C. A brass ring has an interior diameter of 2.992 cm at 33.0 °C. At what common temperature will the ring just slide onto the rod? The coefficients of linear expansion of steel and brass are 1.100×10-5 , 1.900×10-5 /°C, respectively, answer in °C.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT