{"result":{"text":"T h e space a n g u l a r space v e l o c i t y space i s space g i v e n space a s\nomega squared equals omega subscript 0 superscript 2 plus 2 alpha left parenthesis theta minus theta subscript 0 right parenthesis\nw h e n space t h e space f a n space i s space s w i t c h space o f f space space space theta equals 2 pi n comma theta subscript 0 equals 0 omega equals omega subscript 0 over 4\nopen parentheses omega subscript 0 over 4 close parentheses squared equals omega subscript 0 superscript 2 plus 2 alpha left parenthesis 2 pi n right parenthesis rightwards double arrow 2 alpha left parenthesis 2 pi n right parenthesis equals 15 over 16 omega subscript 0 superscript 2\n2 pi n equals 15 over 16 open parentheses fraction numerator omega subscript 0 superscript 2 over denominator 2 alpha end fraction close parentheses\nW h e n space t h e space f a n space c o m e s space t o space r e s t\ntable attributes columnalign left end attributes row cell 0 equals omega subscript 0 superscript 2 minus 2 alpha left parenthesis 2 pi n apostrophe right parenthesis end cell row cell 2 pi n equals open parentheses fraction numerator omega subscript 0 superscript 2 over denominator 2 alpha end fraction close parentheses space space space space o r space space space space n apostrophe equals 16 over 15 n end cell end table"},"status":"ok"}