* Flywheel energy Engineers at the University of Texas at Austin are developing an Advanced Locomotive Propulsion System that uses a gas turbine and perhaps the largest high-speed flywheel in the world in terms of the energy it can store. The flywheel can store
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- The motion of spinning a hula hoop around one's hips can bemodeled as a hoop rotating around an axis not through the center, but offset from the center by an amount h, where h is lessthan R, the radius of the hoop. Suppose Maria spins a hula hoopwith a mass of 0.75 kg and a radius of 0.62 m around her waist.The rotation axis is perpendicular to the plane of the hoop, butapproximately 0.40 m from the center of the hoop. a. What isthe rotational inertia of the hoop in this case? b. If the hula hoopis rotating with an angular speed of 13.7 rad/s, what is its rotational kinetic energy?arrow_forwardA cam of mass M is in the shape of a circular disk of diameter 2R with an off-center circular hole of diameter R is mounted on a uniform cylindrical shaft whose diameter matches that of the hole (Fig. P1 3.78). a. What is the rotational inertia of the cam and shaft around the axis of the shaft? b. What is the rotational kinetic energy of the cam and shaft if the system rotates with angular speed around this axis?arrow_forwardProblems 62 and 63 are paired. 62. C A disk is rotating around a fixed axis that passes through its center and is perpendicular to the face of the disk. Consider a point on the rim of the disk (point R) and another point halfway between the center and the rim (point H) at one particular instant. a. How does the angular speed v of the disk at point H compare with the angular speed of the disk at point R? b. How does the tangential speed of the disk at point H compare with the tangential speed of the disk at point R? c. Suppose we pick a point H on the disk at random (by throwing a dart, for example), and we compare the speeds at that point with the speeds at point R. How will the answers to parts (a) and (b) be different? Explain.arrow_forward
- The wheel in the figure has eight equally spaced spokes and a radius of 43 cm. It is mounted on a fixed axle and is spinning at 1.1 rev/s. You want to shoot a 25-cm-long arrow parallel to this axle and through the wheel without hitting any of the spokes. Assume that the arrow and the spokes are very thin. What minimum speed must the arrow have? Number i Unitsarrow_forwarda. To lift heavy bricks from the ground to a rooftop, the bricks are placed in a container that is attached to one end of a rope that wraps around a rod coupled to the shaft of a motor. When the motor runs, the buckets will rise. i. Calculate the diameter of the rod so that the bricks can be raised at a constant speed of 3.5 km/h when the motor is running at 490 revolutions per minute? ii. If the bricks are to have an upward acceleration of 0.65 m/s2, calculate the angular acceleration of the rod.arrow_forward1. What is the minimum radius Rhump you can use for the semi-circular hump? 2. What is the minimum radius Rloop you can use for the vertical loop?arrow_forward
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- A 60-cm-diameter wheel accelerates uniformly about its center from 110 rpm to 270 rpm rpm in 5.08 A 60-cm-diameter whoel accelerates uniformly about its center from 110 rpm to 270 rpm rpm in 5.08. A 60-cm-diameter wheel accelerates uniformly about its center from 110 rpm to 270 rpm rpm in 5.0%. ▾ ▾ Part B ▾ Part A Determine its angular acceleration. Express your answer using two significant figures. a = 3.4 rad/s²³ O -265.6 rant Part B Part C Determine the radial component of the linear acceleration of a point on the edge of the wheel 2.0 s after it has started accelerating Express your answer using two significant figures. de Correct 1971 ΑΣΦ Submit Previous Answers Bequest Answer Previous Answers X Incorrect: Try Again; 19 attempts remaining Submit Submit Previous Answers Request Answer X Incorrect; Try Again; 19 attempts remaining ΨΗ ΑΣΦ m/s² Determine the tangential component of the linear acceleration of a point on the edge of the wheel 2.0 s after it has started accelerating…arrow_forwardThe engine of an aircraft propeller delivers an amount of power 173 hp to the propeller at a rotational velocity of 2480 rev/min. Part A How much torque does the aircraft engine provide? Express your answer in newton-meters. VE ΑΣΦ T = Submit Part B W = Request Answer How much work does the engine do in one revolution of the propeller? Express your answer in joules. VE ΑΣΦ Submit Request Answer N.m w ? Jarrow_forward0 R circular hoop of radius 25.0 cm and mass 75.0 g is rotates at 250 rpm about its radial axis as shown. What is the kinetic energy of the hoop? O 0.0614 J O 73.2 J O 0.803 J O 1.61 Jarrow_forward
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