37. A hole is drilled in a steel sheet. The diameter of the hole is 4.24 cm at 27.0 degree
celcius. What is the change in the diameter of the hole when the sheet is heated to 227
degree celcius? The coefficient of linear expansion of steel is 1.20X10-/C.
Answers
Answer:
all is good in a stroll through the diameter of the who is CM at 7.0 degree Celsius what is a change in the world EP 227 degree Celsius the coefficient of linear expansion in C plus plus
Answer:
0.0144 cm
Explanation:
Here, diameter of hole ( D1) = 4.24 cm
So, initial area of hole (Ao)= πr² = 22/7 ( 4.24/2)²
= 4.494π cm²
intial temperature ( T1) = 27°C = 27+ 273 = 300 K
Final temperature ( T2) = 227°C = 227+ 273 = 500K
coefficient of linear expansion (a) = 1.7 × 10^-5/°C
coefficient of superficial expansion (b) = 2× linear expansion
= 2 × 1.7 × 10^-5/°C
= 3.4 × 10^-5 /°C
Use formula,
A = Ao( 1 + b∆T)
A = 4.494π [1 + 3.4 × 10^-5 × (500-300)]
= 4.494π[ 1 + 3.4 × 10^-5 × 200]
= 4.494π [ 1 + 6.8 × 10^-3 ]
= 4.494π [ 1 + 0.0068]
= 4.494π × 1.00068
= 4.525π cm² = πD2²/4
D2² = 4.525 × 4
D2 = 4.2544 cm
Change in diameter (∆D) = D2 - D1
= 4.2544 - 4.24
= 0.0144 cm
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