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Dear krishna ,
a = t/50 = dw/ dt hence dw = (t/50 )dt on integrating w = t2 /100 a tangential = ar = 2*10-2 t a centripetal =w 2r = 10-4 t4 also tan 60 = √3 = a centripetal / a tangential = t3 / (2 * 102 ) hence t3 = 2* 3*102 346.4 or t = 7 seconds
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