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A basketball goal has a metal pole that is 3.50 m high at 21°C. On a cool day, at -11.5°C, it contracts by 0.00174 m.?

What is its coefficient of linear expansion?

Answer is _____ * 10^-5 C^-1. Fill in the number in the blank.

2 Answers

5 votes

Answer:

1.53×10^-5 ( ⁰C)^-1

User Aaron Swan
by
5.4k points
1 vote

Answer:

1.53

Step-by-step explanation:

α=Δl/(l Δt) here α is coefficient of linear expansion Δl is change in length l is original length andΔt is change in temperature

Δl=0.00174m , l=3.50m ,Δt=21-(-11-5)= 21+11.5 =32.5 ⁰C

α = 0.00174 / (3.50×32.5)

= 1.53×10^-5 ( ⁰C)^-1

User Ben Haley
by
5.9k points