Question

A metal ball that is 1.4 m in diameter expands by 2.5 mm when the temperature...

A metal ball that is 1.4 m in diameter expands by 2.5 mm when the temperature is increased by 95 ∘C.

a) What is the coefficient of thermal expansion for the ball?

b) What substance is this ball likely made from?

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Answer #1

a)

d = expansion in diameter = 2.55 mm

d = initial diameter = 1.4 m = 1400 mm

T = increase in temperature = 95 C

= Coefficient of thermal expansion

Using the equation

d = dT

2.55 = (1400) (95)

= 19.2 x 10-6

b)

The ball is made of brass as brass as same coefficient of thermal expansion

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