▾Part AA bicycle racer is going downhill at 13.5 m/s when,to his horror, one of his 2.17 kg wheels comes offwhen he is 52.0 m above the foot of the hill. Wecan model the wheel as a thin-walled cylinder 85.0cm in diameter and neglect the small mass of thespokes.How fast is the wheel moving when it reaches the foot of the hill if it rolledwithout slipping all the way down?VAΣΤΙ ΑΣΦ?VE = 33Submit Previous Answers Request Answer× Incorrect; Try AgainPart Bm/sHow much total kinetic energy does the wheel have when it reaches thebottom of the hill?Kf=VAΣΟΙ ΑΣΦ?J

To solve this problem, we'll use the principles of conservation of energy and rotational dynamics.…

Answered: ▾ Part A A bicycle racer is going…

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)...

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in rpm
A uniform disk with radius 0.800 m and mass 30.0 kg rotates in a horizontal plane on a frictionless vertical axle that passes through the center of the disk. The angle through which the disk has turned varies with time according to 0(t) = (1.10 rad/s)t + (6.30 rad/s²)t². Part A What is the resultant linear acceleration of a point on the rim of the disk at the instant when the disk has turned through 0.100 rev? Express your answer with the appropriate units. a = μA Value Submit Request Answer = Units ?
A solid disk of mass M, radius R and rotational inertia I is free to rotate about a fixed frictionless axis that is perpendicular to the disk through its center, as shown above. A force of constant direction and constant magnitude F is exerted on the disk. A If the disk accelerates from rest at time t = 0, through what angle does the disk rotate from t = 0 to t = T? B C D E FRT2 2M FRT2 21 FT2 21 Axis of Rotation FT M F FRT I
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B1
M,R A dumbbell with mass 3M, radius R, and moment of inertia - MR2 is on an 3M incline of angle 0. There is sufficient friction on the incline so that the dumbbell rolls without slipping. The dumbbell is connected by a massless cord passing over a pulley of mass M and radius R (I = ½MR²) to a hanging mass M as shown below. The system starts from rest. M Draw free-body diagrams for the dumbbell (including one for torques), the pulley, and the (а) hanging mass, noting the coordinates used and the positive direction for torque, if applicable. Write down the translational and/or rotational forms of Newton's Second Law for the (b) three objects in the system. What is the acceleration of the system?
A lawn mower has a flat, rod-shaped steel blade that rotates about its center. The mass of the blade is 0.65 kg and its length is 0.55 m. You may want to review (Pages 314 - 318). Part A What is the rotational energy of the blade at its operating angular speed of 3460 rpm ? Express your answer using two significant figures. Kr= Submit Part B v Templates Symbols undo redo reset keyboard shortcuts help y = Request Answer If all of the rotational kinetic energy of the blade could be converted to gravitational potential energy, to what height would the blade rise? Express your answer using two significant figures. J Templates Symbols undo redo reset keyboard shortcuts help m
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A rotating object has an angular position represented by 8 = A + Bt + Ct² , where A , B , and C are constants. A student wants to represent a different rotating object that has twice the angular speed at every moment. To write the new function, the student could double B only double C' only double both A and B double both A and C double both B and C
A bicycle wheel of mass M (all at the edges) and radius r is fixed about an axis through its center and is initially at rest. You wrap the wheel with a cord and attach a hanging weight of mass m to the cord. You release the weight and allow it to fall a distance d. The weight falls smoothly, and the cord does not slip over the wheel as it unwinds. a. (Write an expression for the angular acceleration α of the wheel in terms of the tension T of the cord.b. Write an expression for the linear acceleration a of the weight in terms of the tension T of the cord.c. (Using parts (a) and (b) find the linear acceleration in terms of M, m, and g.d. Write an expression for the linear speed v of the weight after it falls a distance d.e. For M = 7.5 kg, r = 33 cm, m = 250 g, and d = 1.5 m, what is the rotational kinetic energy of the wheel afterthe weight has fallen?
A bicycle racer is going downhill at 12.9 m/s when, to his horror, one of his 2.27 kg wheels comes off when he is 80.0 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? Η ΑΣΦ V₁ = 28.0 ? m/s Submit Previous Answers Request Answer × Incorrect; Try Again Part B How much total kinetic energy does the wheel have when it reaches the bottom of the hill? ΜΕ ΑΣΦ Ke 1780 Submit Previous Answers Request Answer × Incorrect; Try Again ? J

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