SSC JE Mechanical Engineering 2018 Set 4 Paper

Question : 105 of 200

Marks: +1, -0

The angular acceleration and the moment of inertia of the flywheel is 0.6 rad/s

^{2}

and 2500.kg.m

^{2}

respectively. What is the kinetic energy ( in kNm) of the flywheel after 10 seconds from the start?

Solution:

Kinetic Energy =

1/2 ×

MOI × angular velocity

^{2}

MOI = 2500 kg m

^{2}

Angular acceleration = 0.6 rad/s

^{2}

time=10 sec.

ω=ω_0 +αt

angular velocity =0 + 0.06 × 10
angular velocity = 60 rad/sec
K.E. =

1/2 × 2500 × 60^2

K.E. = 45000 N-M
K.E. = 45 KN-M

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