A cylindrical hole is bored through a steel block, and a cylindrical piston is machined to fit into the hole. The diameter of the hole is 20.04 ± 0.01 cm, and the diameter of the piston is 19.92 ± 0.04 cm. The clearance is one-half the difference between the diameters. Estimate the clearance and find the uncertainty in the estimate.

Respuesta :

Answer:

The diameter of the hole is 20.04 ± 0.01 cm

The diameter of the piston is 19.92 ± 0.04 cm.

We are given that The clearance is one-half the difference between the diameters.

So, Clearance = [tex]\frac{1}{2}(20.04-19.92)[/tex]

                      = [tex]0.06[/tex]

Uncertainty in the estimate =  [tex]\frac{1}{2}(0.01+0.04)[/tex]

                                              =  [tex]0.025[/tex]

So, Clearance with uncertainty is [tex]0.06\pm 0.025[/tex]

Hence  the clearance is 0.06 and the uncertainty in the estimate. is 0.025