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A cylindrical steel component machined o...

A cylindrical steel component machined on an engine lathe is heated to temeprature of `80^(@)C`.The diameter of the component should be 5 cm at temperature of `10^(@)C` and the permissible error should not exceed 10 microns from the specified dimension. Do we need correctionis for the thermal expansioni component be introduced during the process of machining ? If so what diameter should be prepared? Take `alpha_("steel")=12xx10^(-6).^(@)C^(-1)`.

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Yes 5.0052 cm
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PHYSICS GALAXY - ASHISH ARORA-HEAT AND THERMAL EXPANSION-PRACTICE EXERCISE
  1. Figure shows a steel rod of cross sectional ara 2 xx 10^(-6)m^(2) is f...

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  2. A glass window is to be fit in an aluminium frame. The temperature on ...

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  3. A cylindrical steel component machined on an engine lathe is heated to...

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  4. At certain temperature the pendulum of clock keeps correct time. The c...

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  5. A clock pendulum made of invar has a period of 0.5 s at 20^(@)C. If th...

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  6. The time period of a physical pendulum is given by T=2pisqrt(I/(mgl))....

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  7. Two rods of material X sandwich another rod of material Y as shown in ...

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  8. In a mercury in glass thermometer the cross section of the capillary i...

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  9. A 1-L flask contains some mercury. It is found that at different tempe...

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  10. Some steem balls are fixed at the bottom of a silica bulb of negligibl...

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  11. If a liquid is contained in a long narrow rigid vessel so it an expand...

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  12. In observing thereal expansion of a liquid a certain part of glass ves...

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  13. A clock with a metallic pendulum gains 6 seconds each day when the tem...

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  14. The coefficient of apparent expansion of a liquid when determined usin...

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  15. A solid whose volume does not change with temperature floats in a liqu...

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  16. A small quantity of a liquid which dows not mix with water sinks to th...

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  17. A can of water of volume 0.5 m^(3) at a temperature 30^(@)C is cooled ...

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  18. Equal masses of three liquids A, B and C have temperature 10^(@)C, 25^...

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  19. A water heater can generate 8500 kcal/hr. How much water can it heat f...

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  20. When a 290 gm piece of iron at 180^(@)C is placed in a 100 gm aluminiu...

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