'1) The rotation of the pulley is defined by 0 = 3t4 + 20t2 + 6 where € is in rad and t is in seconds. Find the values of the angular velocity and angular acceleration when t = 5 sec'
Added by Donna V.
Step 1
To find the angular velocity, we need to take the derivative of the rotation equation with respect to time. The rotation equation is given as 0 = 3t^4 + 20t^2 + 6. Taking the derivative of this equation with respect to time, we get: d(0)/dt = d(3t^4 + 20t^2 Show more…
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The driving belt is twisted so that pulley $B$ rotates in the opposite direction to that of drive wheel $A$. If the angular displacement of $A$ is $\theta_{A}=\left(5 t^{3}+10 t^{2}\right)$ rad, where $t$ is in seconds, determine the angular velocity and angular acceleration of $B$ when $t=3 \mathrm{s}$.
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