The first real length standard, adopted more than 200 yearsago, was a platinum bar with two very fine marks separatedby what was defined to be exactly one meter. If this standardbar was to be accurate to within +1.0 µm, how carefullywould the trustees have needed to control the temperature?The coefficient of linear expansion is 9 × 10-6/C°.

Given, The change in the length, ∆l=±1 μm=1×10-6 m Initial length, l0=1 m Coefficient of linear…

Answered: The first real length standard, adopted…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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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Problem 4: The height of the Washington Monument is measured to be 170 m on a day when the temperature is 35.0°C. Assume its thermal coefficient of linear expansion is 2.5 x 10-6/°C. What will its height be, in meters, on a day when the temperature falls to –10.0°C? h =
A spherical steel ball bearing has a diameter of 2.540 cm at 23.00°C. (Assume the coefficient of linear expansion for steel is 11 ✕ 10−6 (°C)−1.) (a) What is its diameter when its temperature is raised to 96.0°C? (Give your answer to at least four significant figures.) cm(b) What temperature change is required to increase its volume by 0.900%? °C
The active element of a certain laser is made of a glass rod 27.0 cm long and 1.70 cm in diameter. Assume the average coefficient of linear expansion of the glass is equal to 9.00 x 106 (°C)-1. The temperature of the rod increases by 64.0°C. (a) What is the increase in its length? cm (b) What is the increase in its diameter? cm (c) What is the increase in its volume? | cm3 Need Help? Master It Read It
A brass rod is 12 cm long at a temperature of 15°C. The coefficient of linear expansion of brass is 19.0 x 10-8/°C. If the temperature changes to 25°C, then what is the increase in length of the rod in um?
A spherical steel ball bearing has a diameter of 2.540 cm at 26.00°C. (Assume the coefficient of linear expansion for steel is 11 x 10-6 (°C)-1.) (a) What is its diameter when its temperature is raised to 113.0°C? (Give your answer to at least four significant figures.) cm (b) What temperature change is required to increase its volume by 1.100%? °C Need Help? Read It
You are looking to purchase a small piece of land in Hong Kong. The price is “only" $60,000 per square meter! The land title says the dimensions are 20 m × 30 m. By how much would the total price change, in dollars, if you measured the parcel with a steel tape measure on a day when the temperature was 21.5°C above 20°C? Assume the coefficient of thermal expansion of steel at 20°C is 1.2×10/°C.
own write-up. Problem 1: At 20°C, a rod is exactly 20.05 cm long on a steel ruler. Both are placed in an oven at 270°C, where the rod now measures 20.11 cm on the same ruler. What is the coefficient of linear expansion for the material of which the rod is made? The coefficient of expansion for steel is as = 11 × 10-6/°C.
Final Answer must be a decimal or whole numbers only!!!
Problem 3: Railroad tracks are made from segments L = 76 m long at T = 20° C. When the tracks are laid, the engineers leave gaps of width I between adjacent segments to allow for thermal expansion. The coefficient of linear expansion is a = 12 × 10-6 °C-1 and engineers design the tracks to withstand temperatures of Te = 36 degrees. Part (a) Enter an expression, in terms of given variables, for the minimum gap distance I the engineers must leave for a track rated at temperature Tc 1= Part (b) What is the minimum gap distance in meters? Part (c) Suppose the engineers forgot to add the gaps at the beginning of 15 segments. How much longer, in meters, would the track be at T?
Suppose you have two meter sticks, one made of steel and one made of invar (an alloy of iron and nickel), which are the same length (1.00 m) at 0°C. The coefficients of volume expansion for steel and invar are 3.6 × 10-5 /°C and 2.7 × 10-6 /°C respectively. apparently, you need to use the volume expansion formula below & have B=3a. have no idea how to turn the length into a volume for this problem. have no idea what value alpha is...
A spherical steel ball bearing has a diameter of 2.540 cm at 22.00°C. (Assume the coefficient of linear expansion for steel is 11 ✕ 10−6 (°C)−1. ) (a) What is its diameter when its temperature is raised to 101.0°C? (Give your answer to at least four significant figures.) cm(b) What temperature change is required to increase its volume by 0.800%? °C
If a 51 m steel footbridge experiences extreme temperatures between -19°C and 48 °C, what is the range in size of this bridge if it measures exactly 51 m at 25°C? (Steel has a coefficient of linear expansion of 1.1 x 10-5/°C) Answer in units of m. Answer in units of m 1. 0.02288 2. 0.023452 3. 0.044022 4. 0.032208 5. 0.037587 06. 0.04114 7. 0.0264 8. 0.03003 9. 0.026015 10. 0.02464

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