A stainless-steel orthodontic wire is applied to a tooth as The wire has an unstitched length of 3.2 cm and a diameter of 0.24 mm. If the wire is stre

CMIIh

CMIIh

Answered question

2021-01-27

A stainless-steel orthodontic wire is applied to a tooth as The wire has an unstitched length of 3.2 cm and a diameter of 0.24 mm. If the wire is stretched 0.12 mm, find the magnitude and direction of the force on the tooth. Disregard the width of the tooth and assume that Young's modulus for stainless steel is 18×1010 Pa.

Answer & Explanation

au4gsf

au4gsf

Skilled2021-01-28Added 95 answers

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The Young's modulus is given by Y=FADII. Therefore, the tension needed to stretch the wire by 0.24mm is T=YA(Dll)T=Y(pd24)Dll
Substituting the values we get T=30.5 N
b) Resolving the tension into the x and y components, the net force on the tooth is
Fx=TcosxTcosx=0
Fy=TsinxTsinx=2Tsinx
therefore magnitude of F =[(2Tsin30)2]12
F=30.5 N down the page.

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