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CBSE Class 12-science Answered

Sir Please question no-10
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Asked by shobhit | 26 May, 2018, 06:21: PM
answered-by-expert Expert Answer
Let us consider upper semi-circle part of ring. Its length when it is heated is πR .
when its temperature T is decreased to T−ΔT, the compressing force F applied to wheel is calculated as given below
 
begin mathsize 12px style Y o u n g apostrophe s space M o d u l u s space space Y space equals space fraction numerator S t r e s s over denominator S t r a i n end fraction space equals space fraction numerator begin display style bevelled fraction numerator F o r c e over denominator A r e a end fraction end style over denominator begin display style bevelled fraction numerator c h a n g e space i n space l e n g t h over denominator i n i t i a l space l e n g t h end fraction end style end fraction Y space equals space fraction numerator begin display style bevelled F over S end style over denominator begin display style bevelled fraction numerator open parentheses pi R alpha capital delta T close parentheses over denominator open parentheses pi R close parentheses end fraction end style end fraction space equals space fraction numerator F over denominator S alpha capital delta T end fraction end style
 
Hence Force F = Y×S×α×ΔT
Answered by Thiyagarajan K | 27 May, 2018, 10:23: PM

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