English

Answer the following question. What is thermal stress?

Advertisements
Advertisements

Question

Answer the following question.

What is thermal stress?

Definition
Short/Brief Note
Advertisements

Solution

  1. Consider a metallic rod of length l0 fixed between two rigid supports at T °C.
  2. If the temperature of rod is increased by ΔT, length of the rod would become, l = l0 (1 + αΔT) Where, α is the coefficient of linear expansion of the material of the rod.
  3. But the supports prevent the expansion of the rod. As a result, rod exerts stress on the supports. Such stress is termed as thermal stress.
shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Thermal Properties of Matter - Exercises [Page 140]

APPEARS IN

Balbharati Physics [English] Standard 11 Maharashtra State Board
Chapter 7 Thermal Properties of Matter
Exercises | Q 2. (xvi) | Page 140

RELATED QUESTIONS

A steel tape 1m long is correctly calibrated for a temperature of 27.0 °C. The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 °C. What is the actual length of the steel rod on that day? What is the length of the same steel rod on a day when the temperature is 27.0 °C? Coefficient of linear expansion of steel = 1.20 × 10–5 K–1


A hole is drilled in a copper sheet. The diameter of the hole is 4.24 cm at 27.0 °C. What is the change in the diameter of the hole when the sheet is heated to 227 °C? Coefficient of linear expansion of copper = 1.70 × 10–5 K–1.


The coefficient of volume expansion of glycerin is 49 × 10–5 K–1. What is the fractional change in its density for a 30 °C rise in temperature?


A 10 kW drilling machine is used to drill a bore in a small aluminium block of mass 8.0 kg. How much is the rise in temperature of the block in 2.5 minutes, assuming 50% of power is used up in heating the machine itself or lost to the surroundings Specific heat of aluminium = 0.91 J g–1 K–1


Is it possible for two bodies to be in thermal equilibrium if they are not in contact?


A gas thermometer measures the temperature from the variation of pressure of a sample of gas. If the pressure measured at the melting point of lead is 2.20 times the pressure measured at the triple point of water, find the melting point of lead.


The density of water at 0°C is 0.998 g cm–3 and at 4°C is 1.000 g cm–1. Calculate the average coefficient of volume expansion of water in the temperature range of 0 to 4°C.


Show that the moment of inertia of a solid body of any shape changes with temperature as I = I0 (1 + 2αθ), where I0 is the moment of inertia at 0°C and α is the coefficient of linear expansion of the solid.


Answer the following question.

Derive the relation between three coefficients of thermal expansion.


Answer the following question.

Give an example of the disadvantages of thermal stress in practical use?


Solve the following problem.

In olden days, while laying the rails for trains, small gaps used to be left between the rail sections to allow for thermal expansion. Suppose the rails are laid at room temperature 27 °C. If maximum temperature in the region is 45 °C and the length of each rail section is 10 m, what should be the gap left given that α = 1.2 × 10–5K–1 for the material of the rail section?


A clock pendulum having coefficient of linear expansion. α = 9 × 10-7/°C-1 has a period of 0.5 s at 20°C. If the clock is used in a climate, where the temperature is 30°C, how much time does the clock lose in each oscillation? (g = constant)


An iron plate has a circular hole of a diameter 11 cm. Find the diameter of the hole when the plate is uniformly heated from 10° C to 90° C.`[alpha = 12 xx 10^-6//°"C"]`


A metre scale made of a metal reads accurately at 25 °C. Suppose in an experiment an accuracy of 0.12 mm in 1 m is required, the range of temperature in which the experiment can be performed with this metre scale is ______.(coefficient of linear expansion of the metal is `20 xx 10^-6 / (°"C")`


A hot body at a temperature 'T' is kept in a surrounding of temperature 'T0'. It takes time 't1' to cool from 'T' to 'T2', time t2 to cool from 'T2' to 'T3' and time 't3' to cool from 'T3' to 'T4'. If (T - T2) = (T2 - T3) = (T3 - T4), then ______.


A metal rod of cross-sectional area 3 × 10-6 m2 is suspended vertically from one end has a length 0.4 m at 100°C. Now the rod is cooled upto 0°C, but prevented from contracting by attaching a mass 'm' at the lower end. The value of 'm' is ______.

(Y = 1011 N/m2, coefficient of linear expansion = 10-5/K, g = 10m/s2)


A metal rod of length Land cross-sectional area A is heated through T °C. What is the force required to prevent the expansion of the rod lengthwise?

(Y = Young's modulus of material of the rod, α = coefficient of linear expansion of the rod.)


The volume of a metal block changes by 0.86% when heated through 200 °C then its coefficient of cubical expansion is ______.


An aluminium sphere is dipped into water. Which of the following is true?


Length of steel rod so that it is 5 cm longer than the copper rod at all temperatures should be ______ cm.

(α for copper = 1.7 × 10-5/°C and α for steel = 1.1 × 10-5/°C)


A clock with an iron pendulum keeps the correct time at 15°C. If the room temperature is 20°C, the error in seconds per day will be near ______.

(coefficient of linear expansion of iron is 1.2 × 10-5/°C) 


When heat is given to a substance, it generally ______.


When a solid is heated, its atoms vibrate faster and move farther apart. This happens because ______.


Among solids, liquids, and gases, the thermal expansion on heating is ______.


The volume of a block of metal at 30°C changes by 0.12% when its temperature is increased to 70°C. The coefficient of linear expansion of the metal is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×