Accepted Answer
Answer:Time, T = 2.62 secondsExplanation:Given that,Radius of the circular path, r = 82 cm = 0.82 mCentripetal acceleration of the particle, [tex]a=4.7\ m/s^2[/tex]To find,Time taken to complete one revolution.Solution,The centripetal acceleration of the particle in circular path is given by :[tex]a=\omega^2 r[/tex][tex]\omega[/tex] is the angular velocity of the particle[tex]\omega=\sqrt{\dfrac{a}{r}}[/tex][tex]\omega=\sqrt{\dfrac{4.7}{0.82}}[/tex] [tex]\omega=2.39\ rad/s[/tex]Let T is the time taken by the particle take to complete one revolution. The relation between the angular velocity and the time is given by :[tex]T=\dfrac{2\pi}{\omega}[/tex][tex]T=\dfrac{2\pi}{2.39}[/tex]T = 2.62 secondsSo, the time taken to complete one revolution is 2.62 seconds.
Suggested Answer
acceleration = r w² radius r = 0.82 meter angular velocity w4.7 = 0.82 w² So w = 2.394 radians / secTime period T = time duration for completing one revolution = 2 π / w = 2π / 2.394 = 2.624 seconds
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