Mounted directly to it and coaxial with it is a pulley with a much smaller mass and a radius of 0.230 m. The flywheel an
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Mounted directly to it and coaxial with it is a pulley with a much smaller mass and a radius of 0.230 m. The flywheel an
A mixing beater consists of three thin rods, each 10.2 cm long. The rods diverge from a central hub, separated from each other by 120°, and all turn in the same plane. A ball is attached to the end of each rod. Each ball has cross-sectional area 4.20 cm² and is so shaped that it has a drag coefficient of 0.640. The drag force on each ball is R = D p A v² where D is the drag coefficient, p the density of the fluid, A the cross-sectional area, and v the speed of the object moving through the fluid. (a) Calculate the power input required to spin the beater at 1000 rev/min in water. W (b) The beater is taken out of the water and held in air. If the input power remains the same (it wouldn't, but if it did), what would be the new rotation speed? rev/min 7. [-/2 Points] DETAILS The figure below shows, at left, a solid flywheel of radius R = 0.550 m and mass 75.0 kg. SERPSE10 10.5.OP.014. MY NOTES (a) What is the tension (in N) in the lower (slack) segment of the belt? N PRACTICE ANOTHER Mounted directly to it and coaxial with it is a pulley with a much smaller mass and a radius of r= 0.230 m. The flywheel and pulley assembly are on a frictionless axle. A belt is wrapped around the pulley and connected to an electric motor as shown on the right. The turning motor gives the flywheel and pulley a clockwise angular acceleration of 1.67 rad/s². The tension T, in the upper (taut) segment of the belt is 155 N. (b) What If? You replace the belt with a different one (one slightly longer and looser, but still tight enough that it does not sag). You again turn on the motor so that the flywheel accelerates clockwise. The upper segment of the belt once again has a tension of 155 N, but now the tension in the lower belt is exactly zero. What is the magnitude of the angular acceleration (in rad/s²)? rad/s2
6. [-/2 Points] DETAILS A mixing beater consists of three thin rods, each 10.2 cm long. The rods diverge from a central hub, separated from each other by 120°, and all turn in the same plane. A ball is attached to the end of each rod. Each ball has cross-sectional area 4.20 cm² and is so shaped that it has a drag coefficient of 0.540. The drag force on each ball is R = =D p A v² where D is the drag coefficient, p the density of the fluid, A the cross-sectional area, and v the speed of the object moving through the fluid. (a) Calculate the power input required to spin the beater at 1000 rev/min in water. W MY NOTES (b) The beater is taken out of the water and held in air. If the input power remains the same (it wouldn't, but if it did), what would be the new rotation speed? rev/min 7. [-/2 Points] DETAILS SERPSE10 10.5.OP.014. The figure below shows, at left, a solid flywheel of radius R = 0.550 m and mass 75.0 kg. Need Help? PRACTICE ANOTHER rad/s2 MY NOTES Mounted directly to it and coaxial with it is a pulley with a much smaller mass and a radius of r= 0.230 m. The flywheel and pulley assembly are on a frictionless axle. A belt is wrapped around the pulley and connected to an electric motor as shown on the right. The turning motor gives the flywheel and pulley a clockwise angular acceleration of 1.67 rad/s². The tension in the upper (taut) segment of the belt is 155 N. (a) What is the tension (in N) in the lower (slack) segment of the belt? Read It (b) What If? You replace the belt with a different one (one slightly longer and looser, but still tight enough that it does not sag). You again turn on the motor so that the flywheel accelerates clockwise. The upper segment of the belt once again has a tension of 155 N, but now the tension in the lower belt is exactly zero. What is the magnitude of the angular acceleration (in rad/s²)? PRACTICE ANOTHER
Mounted directly to it and coaxial with it is a pulley with a much smaller mass and a radius of 0.230 m. The flywheel and pulley assembly are on a frictionless axle. A belt is wrapped around the pulley and connected to an electric motor as shown on the right. The turning motor gives the flywheel and pulley a clockwise angular acceleration of 1.67 rad/s. The tension in the upper (taut) segment of the belt is 155 N. (a) What is the tension (in N) in the lower (slack) segment of the belt? (b) What If? You replace the belt with a different one (one slightly longer and looser, but still tight enough that it does not sag). You again turn on the motor so that the flywheel accelerates clockwise. The upper segment of the belt once again has a tension of 155 N, but now the tension in the lower belt is exactly zero. What is the magnitude of the angular acceleration (in rad/s²)? falle Need Help? Read it 8. [3/3 Points] MY NOTES PRACTICE ANOTHER A model airplane with mass 0.749 kg is tethered to the ground by a wire so that it fles in a horizontal circle 31.0 m in radius. The airplane engine provides a net thrust of 0.807 N perpendicular to the tethering wire DETAILS PREVIOUS ANSWERS SERPSE 10 10.5.P.017. (a) Find the magnitude of the torque the net thrust produces about the center of the circle. 25.017 N-m (b) Find the magnitude of the angular acceleration of the airplane 0.0347 ✔rad/s² (c) Find the magnitude of the translational acceleration of the airplane tangent to its flight path. 1.0757 Need Help? Read it 9. [-/2 Points] DETAILS SERPSE10 10.5.P.019.CTX. MY NOTES PRACTICE ANOTHER Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R = 0.420 m and mass M- 100 kg. In operation, the wheel rotates at 45.0 rev/min. While the wheel is spinning, your grandmother works clay at the center of the wheel with her hands into a pot-shaped object with circular symmetry. When the correct shape is reached, she wants to stop the wheel in as short a time interval as possible, so that the shape of the pot is not further distorted by the rotation. She pushes continuously with a wet rag as hard as she can radially inward on the edge of the wheel and the wheel stops in 6.00 s. (a) You would like to build a brake to stop the wheel in a shorter time interval, but you must determine the coefficient of friction between the rag and the wheel in order to design a better system. You determine that the maximum pressing force your grandmother can sustain for 6.00 s is 65.0 N. (b) What If? If your grandmother instead chooses to press down on the upper surface of the wheel a distance r = 0.200 m from the axis of rotation, what is the force (in N) needed to stop the wheel in 6.00 s? Assume that the coefficient of kinetic friction between the wet rag and the wheel remains the same as before. (Enter the magnitude.)
A spool of thread consists of a cylinder of radius R₁ = 8.0 cm with end caps of radius R₂ = 9.2 cm as depicted in the end view shown in the figure below. The mass of the spool, including the thread, is m = 180 g. The spool is placed on a rough, horizontal surface so that it rolls without slipping when a force T = 0.530 N acting to the right is applied to the free end of the thread. For the moment of inertia treat the spool as being a solid cylinder of radius R₁, as the extended edges are thin and therefore light. R₁ (a) What is the acceleration of the spool? Take positive to be to the right. m/s²