AP EAMCET202021 Sep 2020Morning ShiftPhysicsRotational MotionActual
A body of mass (5 ~kg ) acquires an acceleration of (10 rads ⁻² ) due to an applied torque of (2 Nm ). Its radius of gyration is
Options
- A(2.5 ~m )
- B( 2.5 ~m )
- C( 0.2 ~m )
- D(0.2 ~m )
Correct answer
D. (0.2 ~m )
Step-by-step solution
Mass of body, (m=5 ~kg ) Angular acceleration, ( =10 rad s ⁻² ) Torque, ( =2 ~N - m ) We know that, Torque (= ) Moment of inertia ( ) Angular acceleration ( aligned & & =I & I & = = 2 10 & & =0.2 ~kg - m ^2 aligned ) If (k ) be the radius of gyration, then ( aligned & I=m k^2 & k= I m = 0.2 5 = 0.04 =0.2 ~m aligned )