Question

calculate the torque necessary to produce an angular acceleration of 25rads in a flywheel of mass 50 kg and radius of gyration 50 cm about it's axis​

Answer 1

Answer:

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Answer 2

The torque necessary to produce an angular acceleration of 25 rad/s in a flywheel of mass 50 kg and radius of gyration 50 cm about its axis is ​τ = 312.5 N-m

Explanation:

Formula:  τ = I x α  where I is moment of inertia and α is angular acceleration

Radius of gyration k = 50 cm = 0.5 m

Mass "m" = 10 kg

I = m* k^2

I = 50 * (0.5)^2 = 12.5 kg-m^2

Angular acceleration "α" = 25 r.p.s

Torque  τ = I x α  

Torque  τ = 12.5  x 25

Torque  τ = 312.5 N-m

Thus, τ = 312.5 N-m