The propeller of a light plane has a length of 1.772 m and a mass of 21.96 kg. The propeller is rotating with a frequency of 2300. rpm. What is the rotational kinetic energy of the propeller? You can treat the propeller as a thin rod rotating through its center.
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- A plane flies 36.0° north of east for 1.80 km to get to city B. The trip takes 3.00 hours. The plane departs city B and travels due west to reach city C. City C is 811 km from city B and the trip takes 1.80 hours. Let the positive 2-direction point due east and the positive y-direction point due north. a) Which vector below represents the plane's average velocity? N B E OĎA 1.3-kg 20-cm-diameter solid sphere is rotating about its diameter at 62 rev/min. (a) What is its kinetic energy? (b) If an additional 5.0 m) of energy are supplied to the rotational energy, what is the new angular speed of the ball? rev/min eBookA 11.8 kg solid sphere (radius = .450 m) is released from rest at the top of a ramp and allowed to roll down without slipping. The ramp is 4.25 m high and 16.4 m long. When the sphere reaches the bottom of the ramp, what is its rotational kinetic energy?
- A system of point particles is shown in the figure. Each particle has mass 1.0 kg and they all lie in the same plane. If the system rotates at 10 rev/s, what is its rotational kinetic energy? 40 cm axis 20 cm 60 cm O 1.1 x 103 . O 2.2 x 103 ) 3.4 x 103 J O 4,4 x 103 ) 5.2 x 103 JA 21 mm diameter glass marble with a mass of 25 g rolls without slipping down a track toward a vertical loop of radius ?=15 cm, as shown in the figure. Approximate the minimum translational speed ?min the marble must have in order to complete the loop without falling off the track when it is a height ?=25 cm above the bottom of the loop.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 2.0 m diameter and a mass of 260 kg. Its maximum angular velocity is 1400 rpm. A motor spins up the flywheel with a constant torque of 58 Nm. How long does it take the flywheel to reach top speed? How much energy is stored in the flywheel?
- A uniform sphere with mass M and radius R is rotating with angular speed v1 about a frictionless axle along a diameter of the sphere. The sphere has rotational kinetic energyK1. A thin-walled hollow sphere has the same mass and radius as the uniform sphere. It is also rotating about a fixed axis along its diameter. In terms of v1, what angular speed must the hollow sphere have if its kinetic energy is also K1, the same as for the uniform sphere?A 350-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 31° with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest? rad/sThe ramp on the figure is 0.75 m high. The object is a 2.0 kg cylinder with radius of r = 0.10 m. The cylinder rolls from the top and reaches the bottom. A) What is its total kinetic energy at the bottom? B) What is its rotational kinetic energy, C) what is its translational kinetic energy?
- A typical small rescue helicopter, has four blades, each is 4.00 m long and has a mass of 50.0 kg. The blades can be approximated as thin rods that rotate about one end of an axis perpendicular to their length. The helicopter has a total loaded mass of 1000 kg. (a) Calculate the rotational kinetic energy in the blades when they rotate at 300 rpm. (b) Calculate the translational kinetic energy of the helicopter when it flies at 20.0 m/s, and compare it with the rotational energy in the blades. (c) To what height could the helicopter be raised if all of the rotational kinetic energy could be used to lift it?A point on the rim of a 0.30 m radius rotating wheel has a tangential speed of 5.0 m/s. What is the tangential speed of a point 0.20 m from the center of the same wheel?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.