Q. 16: A sphere of mass 0,5 kg and diameter 1 m rolls without sliding with a constant velocity of 5 m/s. What is the ratio of the rotational K.E. to the total kinetic energy of the sphere ? (b) 7 (a) 10 7 (d) (c) 517 NIN
Q: A disk with a mass of "m" kg and radius of "r" meters (l =1/2mr^2) rolls without slipping at "v"…
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Q: Yo-yo has a mass m, an inner radius r and an outer radius R. The rotational inertia of the yo-yo is…
A: Torque produced is the product of Rotational inertia and angular acceleration torque=Iα Torque is…
Q: A 70kg disk is spinning about a vertical axis of rotation with a radius of 1.2m and a rotational…
A: angular momentum of the disc before collision,L1d=Idω1dL1d=0.45mr2×10L1d=4.5mr2..........(1)angular…
Q: A solid 0.4150 kg0.4150 kg ball rolls without slipping down a track toward a vertical loop of radius…
A: Given values: Mass of the ball, m = 0.415 kgRadius of the loop, R = 0.8750 mLet the speed at the top…
Q: Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the…
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Q: A lawn mower has a flat, rod -shaped steel blade that rotates about its center. The mass of the…
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Q: A 2 kg ball with a radius of 0.35 meters is initially at rest. The rotational inertia equation for…
A: We know that Torque= Ta=Fr
Q: A 25-kg piece of steel pipe that is 20 cm in diameter, 80 cm long, is rolling toward you at a speed…
A: The diameter of the pipe d=20 cm The radius of the pipe r=d2=10cm=0.10 m The velocity of the pipe…
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
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Q: A torque of magnitude 50Nm acts for 10 seconds to start a small merry-go-round (I = 1/2*m*r^2 ) of…
A: Given data: Torque (τ) = 50 Nm Time (t) = 10 seconds Moment of inertia (I) = (1/2)mr2 Radius (r) =…
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
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Q: The disk of mass m =2 kg and radius r =0.5 m, has a moment of inertia ī =4 kg.m2 about its center of…
A: Given: Mass m=2 kg Radius r=0.5m Inertia I=4kg m2
Q: A disk of mass M and radius R rotates with an angular speed w about an axis through its center, an…
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Q: 5. In Section 10.4 (Rotational Kinetic Energy) of the OpenStax College Physics textbook, go to…
A: Part (5): Given:The mass of the helicopter is Y = 46.83 kg. The anguar speed is Z = 294.83 rpm. The…
Q: A bus contains a 1420 kg flywheel (a disk that has a 0.64 m radius) and has a total mass of 10600…
A: The rotational kinetic energy of the flywheel can be expressed as: K_rot = (1/2) * I * w^2 where,I…
Q: Figure (a) shows a disk that can rotate about an axis at a radial distance h from the center of the…
A: As per the graph, Rotational inertia at h = 0, IA = 0.250 Kg m2 Here, h = 0 shows that IA is moment…
Q: A 4 kg ball with a 0.5 m radius rolls at a constant 4 rad/s. The rotational inertia of the ball is…
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Q: 5. A 2.5kg sphere with a radius of 35cm rotates on an axis through its center. A point on the edge…
A: Given: Mass of sphere is m=2.5kg Radius of sphere is r=35cm=0.35m tangential speed is v=10m/s
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
A: Given, Energy produced by car, KE = 3.38×10^9 Radius of flywheel, 'r' = 0.517 m Mass of flywheel,…
Q: Rotational kinetic energy: A uniform solid sphere of mass M and radius R rotates with an angular…
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Q: A 1.3-kg 20-cm-diameter solid sphere is rotating about its diameter at 62 rev/min. (a) What is its…
A: Given: The mass of the solid sphere is 1.3 kg. The diameter is 20 cm. The…
Q: 11.8 kg solid sphere (radius = .450 m) is released from rest at the top of a ramp and allowed to…
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Q: Rigid rods of negligible mass lying along the y axis connect three particles.: m1=4kg at (0,3)m,…
A: 310.96 J
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
A: The energy produced by the car, The radius of the flywheel, Mass of flywheel,
Q: The ramp on the figure is 0.75 m high. The object is a 2.0 kg cylinder with radius of r = 0.10 m.…
A: Height of the ramp is H = 0.75 m Mass of the cylinder is m = 2.0 kg Radius of the cylinder is r =…
Q: A 0.22kg solid cylinder is released from rest at the top of a ramp and travels 1.5m to the bottom.…
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Q: A concept car includes a solid disk-shaped flywheel which can be spun up to store rotational kinetic…
A: Given data : Mass of flywheel, m=380kg Radius of the flywheel, r=0.4m Angular speed of the flywheel,…
Q: Problem 1: A wheel with radius 10.8 cm starts from rest and increases its rotational speed until it…
A: (a) The angular acceleration is given by, α=ωf-ωiΔt Here, ωf is the final angular speed, ωi is the…
Q: A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65…
A: Given data: Angular displacement (Δθ) = 2 rev Time (t) = 0.65 s Required: The average angular…
Q: 3. A mass hangs from a fixed pulley. The mass is released from rest. Find the speed of the mass when…
A: We know that: m1=8.0 kg r=0.25 m m2=2.6 kg h=0.85 m Applying conservation of energy:…
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
A: We will first write an expression for rotational kinetic energy of an object. Then we use the given…
Q: A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its…
A: given that,Energy E = Mass of flywheel m = 34.8 kg Radius of flywheel R = 0.577 m, now we find the…
Q: In the figure, three 0.10 kg particles have been glued to a rod of length L = 11 cm and negligible…
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- 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.a 7kg solid sphere rolls without slipping on a horizontal surface with its center of mass moving at 5m/s. what is the ratio between the translational and the rotational kinetic energies?T m A 25.0 kg mass is hung from a rope that is passed over a pulley and held by a man standing on a ramp. The pulley can be treated as a solid disk with a mass of 10.0 kg that has a radius of 0.400 m. The man pulls the rope so that the pulley rotates from rest through an angular displacement of 15.0 rad in 2.00s. A. What is the angular acceleration of the disk? B. What is the tension of the rope as it pulls up on the box? C. What is the force applied by the man on the rope as he pulls the box upward?
- Can you help me with this physics problem please? On a xy plane, there are three masses are attached rigidly to a ligt board. There is a 5 kg mass at (-4m, 5m), a 2 kg mass at (0,-2m) and a 3kg mass at (3m,0). It is rotating around the x axis at 1.75 rad/s. What is the rotational kinetic energy?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 >A solid 0.6150 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.7350 m. What minimum translational speed ?minvmin must the ball have when it is a height H=1.111 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than the loop radius ?R. Use g=9.810 m/s^2 for the acceleration due to gravity.
- A 4 kg ball with a 0.5 m radius rolls at a constant 4 rad/s. The rotational inertia of the ball is 0.5 mr2. What is the total energy of the ball?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 187-mile trip in a typical midsize car produces about 2.84 x 109 J of energy. How fast would a 9.42-kg flywheel with a radius of 0.237 m have to rotate to store this much energy? Give your answer in rev/min.