Please take your time to do these "Rotational motion and angular momentum" questions in PCS211 carefully!

1. [12 Points] DETAILS SERPSE101D.1.P.001. Consider the following. (a) Find the angular speed of Earth's rotation about its axis. E rams (b) How does this rotation affect the shape of Earth? 2. [-/6 Points] DETAILS SERPSE10 10.1.OP.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER During a certain time interval, the angular position of a swinging door is described by 0 = 5.04 + 10.2t + 2.10t , where 0 is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door at the following times. (a) t = 0 0 = rad W = rad/s a = rad/$2 (b) t = 2.98 s 8 = rad W = rad/s a = rad/$2 Need Help? Read It Watch It 3. [-/2 Points] DETAILS SERPSE10 10.2.P.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 11.0 rad/s in 2.98 s. (a) Find the magnitude of the angular acceleration of the wheel. rad/s2 (b) Find the angle in radians through which it rotates in this time interval. rad Need Help? Read It Watch It4. [-/2 Points] DETAILS SERPSE10 10.2.OP.004.MI. MY NOTES ASK YOU An electric motor rotating a workshop grinding wheel at 1.14 x 102 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 1.98 rad/s. (a) How long does it take the grinding wheel to stop? (b) Through how many radians has the wheel turned during the time interval found in part (a)? rad Need Help? Read It Master It 5. [-/1 Points] DETAILS SERPSE10 10.2.OP.005. MY NOTES ASK YOU A rotating wheel requires 2.92-s to rotate through 37.0 revolutions. Its angular speed at the end of the 2.92-s interval is 98.4 rad/s. What is the constant angular acceleration of the wheel? rad/s2 Need Help? Read It Watch It6. [13 Points] DETAILS SERPSE1010.3.P.009. MY l~ A discus thrower accelerates a discus from rest to a speed of 25.8 m/s by whirling it through 1.26 rev. Assume the discus moves on the arc of a circle 1.01 m in radius. Ail l E II Dalh IL/AFPfE'ally images 69 (a) Calcuiate the nal angular speed of the discus. S we (b) Determine the magnitude of the angular acceleration of the discus, assuming it to be constant. S me (C) Calculate the time interval required for the discus to accelerate from rest to 25.8 m/s. |:|S Need Help? 9. [-/1 Points] DETAILS SERPSET9 10.P.024. MY NOTES ASK YOUR TEACHER A car traveling on a flat (unbanked), circular track accelerates uniformly from rest with a tangential acceleration of a. The car makes it one quarter of the way around the circle before it skids off the track. From these data, determine the coefficient of static friction between the car and the track. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.)