Question

A field tape, standardized at 20 °C measured 1000.0056m. Determine the temperature at which it will be exactly of the nominal length of 100m. Take α= 11.2x10-6 per °C.​

Answer 1

Answer:

So the temperature at which the tape will be exactly 100m is 19.5 ⁰C.

Explanation:

• Linear expansion means, change or increase in a body's length.
• A change in length over one dimension (length) over a volume is known as linear expansion.

Foormula for linear thermal expansion:

L0 = original length,

L = expanded length,

α = length expansion coefficient,

ΔT = temperature difference,

ΔL = change in length

Formula: ∆L/Lo= αΔT

Calculations:

Lo= 1000.0056m

L=100m

α= 11.2x10-6 per °C

∆T=?

∆L= -0.0056m

Solving foor ∆T we get

∆T=-0.5 ⁰C

So the temperature at which the tape will be exactly 100m is 19.5 ⁰C.

Project code #SPJ2