physics

a steel beam is 12.0 m long when installed at 23 degrees celsius.Find the change in the beam's length if the temperature changes from -32.0 degrees celcius to 55 degrees celcius?

  1. 👍
  2. 👎
  3. 👁
  1. Cooling from 23ºC to -32ºC
    ΔL1= α•L•ΔT1 =12•12•10^-3•[23-(-32)]=
    =12•12•10^-3•55= 7.92•10^-3 m
    Heating from 23ºC to +55ºC
    ΔL2= α•L•ΔT2 =12•12•10^-3•[55-23]=
    =12•12•10^-3•32= 4.61•10^-3 m
    Chamge in the beam’s length is
    ΔL=ΔL1+ ΔL2=7.92•10^-3+ 4.61•10^-3=
    =1.253•10^-2 m.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    A construction crew wants to hoist a heavy beam so that it is standing up straight. They tie a rope to the beam, secure the base, and pull the rope through a pulley to raise one end of the beam from the ground. When the beam makes

  2. Chemistry

    A 100g sample of water at 90 degrees celsius is added to a 100g sample of water at 10 degrees celsius. The final temperature of the water is which of the following: a) between 50 degrees celsius and 90 degrees celsius b) 50

  3. physics.

    A steel beam is used in the construction of a skyscraper. By what fraction (change in L)/Lo does the length of the beam increase when the temperature changes from that on a cold winter day (-15 degree F) to that on a summer day (+

  4. Physics

    A 4.00-m-long, 500 kg steel beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. A 70.0 kg construction worker stands at the far end of the beam. What is the

  1. Chemistry

    The specific heat of solid silver is 0.237 J/g degrees celsius and the heat of fusion of silver at its melting point of 961 degrees celsius is 11 J/g. Find the final temperature is 1490 J is used to heat 40 g of silver initially

  2. Math

    an arch of a bridge is made by bending a steel beam into the shape of a semi circle, if the span (diameter) of the arch is 20m, use the value 3.14 for π to find the length of the steel beam to the nearest meter

  3. Math/Physics

    A crane suspends a 500-lb steel beam horizontally by support cables (with negligible weight) attached from a hook to each end of the beam. The support cables each make an angle of 60° with the beam. Find the tension vector in

  4. physics

    A refrigerator has a coefficient of performance of 2.25, runs on an input of 95 W of electrical power, and keeps its inside compartment at 5 degrees celsius. IF you put a dozen 1.0 L plastic bottles of water at 31 degrees celsius

  1. Physics 20

    1. How much heat energy is required to change 500 grams of water at 100 degrees Celsius to steam at 100 degrees Celsius? 2. How much energy is lost if 7kg of water is cooled from 46 degrees Celsius to 2 degrees Celsius? 3. How

  2. chemistry

    How much heat is necessary to change a 52.0 g sample of water at 33 degrees celsius into steam at 110 degrees celsius?

  3. chemistry

    Calculate the enthalpy change for converting 10.0g of ice at -25 degrees Celsius to water at 80 degrees Celsius. The specific heats of ice, water, and steam are 2.09j/g degrees Celsius, 4.18j/g degrees Celsius, and 1.85j/g degrees

  4. chemistry

    Calculate the mass for: A gold sample that absorbs 225 J to change its temperature form 15 degrees celsius to 47 degrees celsius.

You can view more similar questions or ask a new question.