A wheel is turning about an axis through its center with constant angular acceleration. Starting from rest, at t = 0, the wheel turns through 8.25 revolutions in 15.0 s. At t = 15.0 s the kinetic energy of the wheel is 34.0 J. Part A For an axis through its center, what is the moment of inertia of the wheel?

A wheel is turning about an axis through its center with constant angular acceleration. Starting from rest, at t = 0, the wheel turns through 8.25 revolutions in 15.0 s. At t = 15.0 s the kinetic energy of the wheel is 34.0 J. Part A For an axis through its center, what is the moment of inertia of the wheel?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

I Review I Constants You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be a uniform disk with radius 35.0 cm. Starting from rest at t = 0, the flywheel rotates with constant angular acceleration 3.00 rad/s? about an axis perpendicular to the flywheel at its center. Part A If the flywheel has a density (mass per unit volume) of 8600 kg/m³, what thickness must it have to store 800 J of kinetic energy at t = 8.00 s? Express your answer with the appropriate units. HA h = Value Units Submit Request Answer
A 1550-kg car rounds a circular turn of radius 155 m, toward the left, on a horizontal road. Its angular momentum about the center of the turn has magnitude 2.86 x 10 kg m²/s. What is the direction of the car's angular momentum? O toward the center of the turn Overtically downward Submit Previous Answers vertically upward away from the center of the turn ✓ Correct Part B What is the speed of the car? Express your answer with the appropriate units. V= Part C for Part B for Part B undo for Part B redo for Part B reset for Part B keyboard shortcuts for Part B help for Part B Value Submit LfinaF What is the magnitude of the car's angular momentum about the center of the turn, once it's exited the turn and is on a straight stretch of the road? Express your answer with the appropriate units. Submit Units Request Answer for Part C for Part Cundo for Part C redo for Part C reset for Part C keyboard shortcuts for Part C help for Part C Units Value Request Answer
Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 11.6 seconds to get up to its full speed of f1 = 78 revolutions per minute. Case 2: The DJ then changes the speed of the turntable from f1 = 78 to f2 = 120 revolutions per minute. She notices that the turntable rotates exactly n2= 12 times while accelerating uniformly. a. Calculate the magnitude of the angular acceleration of the turntable (in radians/second2) while increasing to 120 RPM (Case 2). b. How long (in seconds) does it take for the turntable to go from f1 = 78 to f2 = 120 RPM?
A merry-go-round accelerates from rest to 0.70 rad/s in 30 s. Part A Assuming the merry-go-round is a uniform disk of radius 8.0 m and mass 3.20×104 kg , calculate the net torque required to accelerate it. Express your answer to two significant figures and include the appropriate units.
A square metal plate with mass M = 1.20 kg and side length 0.180 m is pivoted about an axis through point O at its center and perpendicular to the plate. Three forces of magnitude F1 = 18.0 N, F2 = 26.0 N, and F3 = 14.0 N act on the plate as shown. a. What is the angular acceleration of the disk? The moment of inertia for a plate of length a and width b rotating about its center is Icom = 1/12 * M(a2+b2). b. If the plate is initially at rest, what is the angular velocity of the particle after 3.00 s?
1. a. Consider a rotating disk of radius R that has the exotic property that it can change its mass per unit area as a function of r. Initially, its mass per unit area is given by ar^3 , where a is a constant. What is the moment of inertia of this disk expressed in terms of its mass, M and radius R. b. The disk spins with angular velocity ω. What is its kinetic energy? c. While the disk is spinning, the mass per unit area is altered to be br^2 . You may assume that this is done without the application of any external torque or any change in the overall mass. What is the final angular velocity of the disk?
A pulley on a frictionless axle has the shape of a uniform solid disk of mass 2.60 kg and radius 20.0 cm. A 1.90 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (Figure 1), and the system is released from rest. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of An unwinding cable ii. Part A How far must the stone fall so that the pulley has 5.00 J of kinetic energy? Express your answer with the appropriate units. HÅ h = .58 m 0 ?
A flywheel whose moment of inertia /= 200 lb-ft2 is spinning at 180 RPM. For a flywheel, KE = Iw2/2, where w is the angular velocity, rad/s. Let g = 32.2 ft/s². Step 1 How high above the surface of the earth, in ft, would a 60 lb mass have to be raised to have its potential energy equal to the kinetic energy of the flywheel? h = i ft
A bicycle racer is going downhill at 13.5 m/s when, to his horror, one of his 2.17 kg wheels comes off when he is 52.0 m above the foot of the hill. We can model the wheel as a thin-walled cylinder 85.0 cm in diameter and neglect the small mass of the spokes. Part A How fast is the wheel moving when it reaches the foot of the hill if it rolled without slipping all the way down? ΕΠΙ ΑΣΦ VAΣ+ ? V = 33 Submit Previous Answers Request Answer × Incorrect; Try Again Part B m/s How much total kinetic energy does the wheel have when it reaches the bottom of the hill? Kf = ΜΕ ΑΣΦ 2406 ? J
A figure skater with rotational inertia Iskater is spinning with angular speed ω. She pulls her arms in, decreasing her rotational inertia to one-third its original value. Her new angular speed is ____ . Select one: a. 3–√3ω b. ω3–√3 c. 3ω d. ω/3 e. ω
Part A A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, as shown in the figure (see the figure (Figure 1)). The pulley is a uniform disk with mass 11.6 kg and radius 48.0 cm and turns on frictionless bearings. You measure that the stone travels a distance 12.4 m during a time interval of 3.50 s starting from rest. Find the mass of the stone. Take the free fall acceleration to be 9.80 m/s. ΑΣφ kg Submit Request Answer • Part B Find the tension in the wire. Take the free fall acceleration to be 9.80 m/s². 圈] ? Submit Request Answer Provide Feedback Figure 1 of 1 MacBook Air
Parts D and E