Ex. 16 : A flywheel of mass 4 kg has radius of gyration 0.4 m. Calculate the kinetic energy of rotation when it makes 5 r.p.s.
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![Ex. 16 A flywheel of mass 4 kg has radius of
gyration 0.4 m. Calculate the kinetic energy of
rotation when it makes 5 r.p.s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6e1b7da-9211-4813-85ce-6445d0375a4a%2F8a286f39-9a95-4f8a-b2b0-d34e406ed206%2F0q0uwn_processed.jpeg&w=3840&q=75)
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- Rolling Problems 6. A yo-yo can be thought of as being two uniform disks, each of radius 5 cm and mass 150 grams. The string is would around a small post of negligible mass and moment of inertia, but radius 1 cm. Starting from rest, the yo-yo falls a distance h and reaches a final speed of 1 m/s. What was h? NAME:A disk of mass M and radius R sits on top of an incline of height h. From rest, it then rolls without slipping down the incline. h R The equation for conservation of energy as the disk falls down the incline is shown below: Initially, the disk only has potential energy given by Ma(h+ R). At the ground, the disk has a potential energy of MgR, and kinetic energy from rotational and translational motion. We then have Mg(h + R) = MgR+ /1w² + = M(Rw)², where I = MR². Calculate the angular speed of the disk as it rolls down the bottom of the incline. (Provide full solution of the problem).Determine the kinetic energy of a circular disc rotating with a speed of 60 r.p.m. about an axis passing through a point on its circumference and perpendicular to its plane. The circular disc has a mass of 5 kg and radius 1 m.
- Suppose a 175 kg motorcycle is heading toward a hill at a speed of 34 m/s. The two wheels weigh 12 kg each and are each annular rings with an inner radius of 0.280 m and an outer radius of 0.330 m. a) how high can it coast up the hill, if you neglect friction in m? b) how much energy is lost to friction if the motorcycle only gains an altitude of 39m before coming to rest?a flat circular frisbee of mass 2.26 and radius .669 meters is thrown in such a way that the speed of its center is .838 m/s, and it rotates at 21.7 rotations per minute. the kinetic energy isA meter stick is held vertically with one end on the floor and is then allowed to fall. Find the speed of the other end just before it hits the floor, assuming that the end on the floor does not slip. (Hint: Consider the stick to be a thin rod and use the conservation of energy principle.) In doing this problem, I do not understand what the axis of rotation is and do not understand how to use the parallel-axis theorem.
- An automobile wheel has a mass of 17 kg and a diameter of 0.25 m. What is the total kinetic energy of one wheel when the car is traveling at 19.4 m/s? You may treat the wheel as a solid disk.A car tire (hoop) has a mass of 35 kg and a radius of 0.43 m. The tire is released from rest at the top of a hill and it rolls without slipping to the bottom. “Rolls without slipping” means that the linear velocity of the center of mass is equal to the tangential velocity at the edge of the tire. Once the tire reaches the bottom of the hill it will have dropped by 10 m in vertical height. The final angular velocity ?ω of the tire at the bottom of the hill is Answer ????rads.A hollow ball rolls along a horizontal surface at 2.5 m/s when it encounters an upward incline. if it rolls without slipping up the incline, what maximum height will it reach?
- A 2.0 kg cat (not shown) is on the outer radius (R2) of a ring that can rotate about its center like a merry-go-round. R1=0.80 m R2=0.40 m and the ring's mass is 8.00 kg. The ring is originally rotating at 13.2 rad/s. By how much does the cat increase the kinetic energy of the cat-ring system if the cat crawls to the inner radius (R1).Help with this physics problemIn the figure, three 0.10 kg particles have been glued to a rod of length L = 11 cm and negligible mass and can rotate around a perpendicular axis through point O at one end. How much work is required to change the rotational rate (a) from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0 rad/s, and (c) from 40.0 rad/s to 60.0 rad/s? (d) What is the slope of a plot of the assembly's kinetic energy (in joules) versus the square of its rotation rate (in radians-squared per second-squared)? Axis -P--P-- P- (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units