The angular acceleration of a body = 3t^2. What will be its speed at t=10s, if initial speed = 10rad/s?(a) 1010 rad/s(b) 300 rad/s(c) 1310 rad/s(d) 1000rad/sThis question was posed to me in an international level competition.My doubt stems from Kinematics of Rotational Motion about a Fixed Axis in chapter System of Particles and Rotational Motion of Physics – Class 11

The angular acceleration of a body = 3t^2. What will be its speed at t

1.	The angular acceleration of a body = 3t^2. What will be its speed at t=10s, if initial speed = 10rad/s?(a) 1010 rad/s(b) 300 rad/s(c) 1310 rad/s(d) 1000rad/sThis question was posed to me in an international level competition.My doubt stems from Kinematics of Rotational Motion about a Fixed Axis in chapter System of Particles and Rotational Motion of Physics – Class 11
Answer» RIGHT option is (a) 1010 rad/s The best EXPLANATION: Angular ACCELERATION a = dw/dt = 3t^2. On integrating, we GET: w = t^3 + c. At t=0, w=10, ∴ c = 10. Therefore, w = t^3 + 10. Therefore, w at t=10 = 1000+10 = 1010 rad/s.

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