Answered: R 2h m2 Figure P10.28

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R 2h m2 Figure P10.28

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A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The length and mass of the rod are 0.893 m and 1.19 kg, respectively. A force of constant magnitude F acts on the rod at the end opposite the rotation axis. The direction of the force is perpendicular to both the rod's length and the rotation axis. Calculate the value of F that will accelerate the rod from rest to an angular speed of 6.31 rad/s in 8.87 s. F = N
A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 270-mile trip in a typical midsize car produces about 1.64 x 109 J of energy. How fast would a 11.4-kg flywheel with a radius of 0.238 m have to rotate to store this much energy? Give your answer in rev/min.
An airplane propeller consists if three radial blades, each of length 1.9 m and a mass 5.1 kg. What is the kinetic energy of this propeller when rotating at 2200 rev/min? Assume that each blade is (approximately) a uniform rod.
Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R = 0.520 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 50.0 N. ?k =____________ (b)What If? If your grandmother…
A D B VB A large wind turbine (typical of the size and specifications of a turbine that you see in a modern wind farm) has three blades connected to a central hub. The blades are 50 m long and the linear velocity of point B is 65 m/s. (a) What is the linear velocity of point A which is 35 m away from the hub. (b) what is the angular velocity of the turbine. Express your answer in revolutions per minute.
A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The length and mass of the rod are 0.765 m and 1.27 kg respectively. A force of constant magnitude ?F acts on the rod at the end opposite the rotation axis. The direction of the force is perpendicular to both the rod's length and the rotation axis. Calculate the value of ?F that will accelerate the rod from rest to an angular speed of 6.21 rad/s in 9.91 s
Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the wheel's energy can be released quickly to accomplish a task that demands high power. An industrial flywheel has a 1.5 m diameter and a mass of 250 kg. A motor spins up the flywheel with a constant torque of 50N⋅m50N⋅m. How long does it take the flywheel to reach top angular speed of 1200 rpm? Show a diagram
In the figure, a wheel of radius 0.234 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.586 kg-m2. A massless cord wrapped around the wheel's circumference is attached to a 4.00 kg box. The system is released from rest.When the box has a kinetic energy of 4.00 J, what are (a) the wheel's rotational kinetic energy and (b) the distance the box has fallen? Assume free-fall acceleration to be equal to 9.81 m/s2. M (a) Number Units (b) Number Units
A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 131-mile trip in a typical midsize car produces about 3.01 x 10 J of energy. How fast would a 38.5-kg flywheel with a radius of 0.597 m have to rotate to store this much energy? Give your answer in rev/min. Number i jud eTextbook and Media Units >
Wile E. Coyote wants to flatten the Road Runner. Wile E. puts food at a pre-determined distance from the edge of a cliff. While the Road Runner eats the food, Wile E. pushes a log down the hill. It rolls without slipping. The radius of the log is 0.3 m. The mass of the log is 80 kg. The rotational inertia of the log is given by I = ½ MR2 . The translational speed of the log just before it leaves the cliff horizontally is 16 m/s. The Road Runner is 10 m below the cliff. If the log is to successfully hit the Road Runner, the food must be place at a precise location from the base of the cliff which you will determine. a. Use only energy considerations and the fact that the log does not slip as it rolls to determine the height it started from, h, before it went over the cliff. b. Determine how far from the edge of the cliff the food needs to be placed so the log lands on the Road Runner. The rotating motion of the log in the air does not affect the motion of the log once it is in the air.…
A 26 g block sits at the center of a turntable that rotates at 50 rpm. A compressed spring shoots the block radially outward from the center along a frictionless groove in the surface of the turntable. Calculate the turntable's angular speed when the block reaches the outer edge. Treat the turntable as a solid disk with mass with mass 200 g and diameter 30.0 cm. Express your answer in revolutions per minute.
A thin, 90.0 g disk with a diameter of 6.00 cm rotates about an axis through its center with 0.240 J of kinetic energy. What is the speed of a point on the rim?