12. A grind stone has a moment of inertia 50kgm^2 A constant couple is

1.	12. A grind stone has a moment of inertia 50kgm^2 A constant couple is applied andgrindstone is found to have a speed of 150rpm in 10 sec after starting from rest . Calculatethe torque.
Answer» Let the mass of the stone be ‘m’. I = ½ mr2= 50 kg m2 Torque applied say τ. Initial angular speed = 0 Final angular speed = 150 rotations per min = 150 × 2π/60 = 5π rad/s Time taken = 10 s Now, Angular acceleration, α = 5π/10 = π/2 rad/s2 We know, τ = Iα => τ = 50 × π/2 = 25 × 3.14 = 78.5 Nm

12. A grind stone has a moment of inertia 50kgm^2 A constant couple is applied andgrindstone is found to have a speed of 150rpm in 10 sec after starting from rest . Calculatethe torque.

Answer»

Let the mass of the stone be ‘m’.

I = ½ mr2= 50 kg m2

Torque applied say τ.

Initial angular speed = 0

Final angular speed = 150 rotations per min = 150 × 2π/60 = 5π rad/s

Time taken = 10 s

Now,

Angular acceleration, α = 5π/10 = π/2 rad/s2

We know, τ = Iα

=> τ = 50 × π/2 = 25 × 3.14 = 78.5 Nm

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12. A grind stone has a moment of inertia 50kgm^2 A constant couple is applied andgrindstone is found to have a speed of 150rpm in 10 sec after starting from rest . Calculatethe torque.

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