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x Chegg Study | Guided Solutiox C Secure https://www.webassign Assignment-Respon

ID: 1864673 • Letter: X

Question

x Chegg Study | Guided Solutiox C Secure https://www.webassign Assignment-Responses/submit?pos-2&dep; 18679338 0/7.14 points | Previous Answers My Notes Ask Your Teacher An aluminum wing on a passenger jet is 31 m long when its temperature is 29°C. At what te .06 mperature would the wing be 2 cm (0.02 m) shorter? Statement: An aluminum wing on a passenger jet is 29 m long when its temperature is 29°C. At what temperature would the wing be 7 cm (0.07 m)shorter? Step 1: Write down what you know in symbolic form The wing is made of aluminum, therefore: a 25 x 106 c Length: 1-29 m Temperature: T1 " 29°C Change in length: ?--7 cm (-0.07 m) Step 2: Write down what you don't know in symbolic form Temperature: T2 ?o0 Step 3: Find an equation that contains what you know and what you don't know: Step 4: Solve the equation for what you don't know: ??-al(T2-T1); divide both side by cel / ai-(all al )CT2 - T1) T2-Tii add Ti to both sides ayorl + T1-T2 . T1 + T1-T2 Step 5: Plug in (substitute) what you know and you will find out what you don't know: dW a + T1 = T2-(-0.07 m)/( 25x 10.6 /°C x 29 m) + 29 dC·-96.551 aC + 29 ?--67.551 ?--67.6? rounded off. oc

Explanation / Answer

Here,

Lo = 31 m

delta L = -2 cm = -0.02 m

coefficient of linear expansion , a = 25 * 10^-6 1/degree C

let the temperature is Tf

delta L = Lo * a * (Tf - Ti)

0-.02 = 31 * 25 *10^-6 * (Tf - 29)

solving for Tf

Tf = 3.2 degree C

the temperature is 3.2 degree C