Precision Micrometer

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Calculate the minimum diameter of the post?

1. A precision micrometer can measure dimensional changes of 0.001mm. If a steel rod is warmed by 4degrees C by holding it in the hand while being measured, will this warming affect the measured lenght?. The original cooler length is 25.89mm.

(assume a = 11 x 10^-6K^-1

2. A uniform steel circular post 5m long is designed to support a mass of 2000kg, allowing for a maximum compression of 1.5mm. Calculate the minimum diameter of the post.

(Youngs Modulus Y (or E) for steel = 2 x 10^11 Nm^-2)

∆L/L = α∆T, α is linear thermal expansion coef

∆L = Lα∆T = (25.89)(11e-6)(4) = 0.0011 mm

yes

.

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