pg AP Physics 1 January Rotational Kinematics WS 2 1) A meterstick is swinging on a nail that is driven through the 20cm mark into the wall. It rotates at -64 rad/s. What is the velocity of each end of the meterstick when the meterstick is horizontal? 12.8m/s (+z), 51.2m/s (-z) 2) While hunting an elk 40m away, I twirl a sling from rest overhead, 10 degrees from vertical, with a 0.5kg rock inside. It makes 3 revolutions in 2.4s and I release the rock. The rock hits the elk at the same height it was released, and my supper T tastes gamey for the next few weeks. How long is the sling? (2.15m) 3) Earth's core rotates separately from its mantle, completing only 0.768 revolutions every 24 hours. What is the period for a location on the core to be beneath a certain volcano? (4.31 days) 4) A peg on a vertically mounted turntable is used as a time-checking device to troubleshoot vertically oscillating springs. The point of the turntable is to have a peg rotate around and just barely miss touching the bottom of the oscillating mass each revolution. The turntable is 30 cm wide and the peg covers 10m in 6s while keeping time for a certain spring. If the mass is 4kg, determine the spring constant. (495.8 N/m) 5) An Atwood Machine is set up with a massless 12cm wide pulley and two suspended masses held in place. When released, the 4kg mass takes 2.8s to hit the floor, causing the pulley to rotate Int radians. a. Find the height of the 4kg mass when it was released. (1.696m) b. Find the angular acceleration of the pulley. (7.21 rad/s/s c. Find the velocity of the mass as it strikes the floor. (-1.21m/s) d. Find the tension in the string. (37.468N) e. Find the mass of the other mass. (3.66kg) f. Which side is the 4kg mass on? 6) A future victor's index finger provides a 430mN flick for 0.05s to a 20g paper football, sending it flying at 35 degrees through the air to soar 75cm horizontally through the finger field goal that is held 10cm above the desk. The paper football is oriented such that the nose points at 35 degrees before the flick and the angular acceleration during the flick is 250 rad/s/s (-x). a. After the flick, what is the orientation of the paper football? (52.9 degrees) b. After the flick, what is the angular speed of the paper football? (12.5 rad/s) c. After the flick, what is the linear speed of the paper football? (1.075 m/s) d. What direction does the nose of the paper football point as it soars through the "thumbprights"? (303 degrees)