Question

a wheel of diameter in 14 cm makes 3000 revolution per min find speed in m/sec.

Answer 1

$\huge\green{As-Salamu-Alykum}$


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$\huge\pink{Given:- }$


Diameter = 14cm



Diameter = 0.14m



Radius = D/2= 0.14/2=0.07m



Angular frequency = omega = 300rev /min



1 rev = 2 pi radian



1min =60sec



So.......



Angular frequency = 300×2pi rad/60


Angular frequency = 31.4 rad/sec



$\huge\green{Required:-}$



Speed =?



$\huge\purple{Solution:-}$



Omega= v/r



v= omega ×r



v = 31.4 × 0.07



v=2.198 m/sec


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$\huge\red{INSHALLAH it will help U}$