# The angular position of a point on a rotating wheel is given by =...

- The angular position of a point on a rotating wheel is given by
*θ*= 2.24 + 6.28*t*^{2}+ 1.82*t*^{3}, where*θ*is in radians and*t*is in seconds. At*t*= 0, what are**(a)**the point's angular position and**(b)**its angular velocity?**(c)**What is its angular velocity at*t*= 5.71 s?**(d)**Calculate its angular acceleration at*t*= 2.10 s.**(e)**Is its angular acceleration constant? - A disk with a rotational inertia of 7.42 kg·m
^{2}rotates like a merry-go-round while undergoing a torque given by*τ*= (1.84 + 9.48*t*) N · m. At time*t*= 1.00 s, its angular momentum is 7.65 kg·m^{2}/s. What is its angular momentum at*t*= 3.00 s?

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