Ex. 46: A flywheel in the form of a disc of mass 10 kg and radius 50 cm is rotating with a constant angular speed of 20 rad/s about an axis passing through its centre and perpendicular to its plane. Calculate the magnitude of its angular momentum and its rotational kinetic energy,
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Q: A car is traveling along a road, and its engine is turning over with an angular velocity of +220…
A: The initial angular velocity of the car's engine is ωo=220 rad/s.The final angular velocity of the…
Q: A solid sphere with radius 2.4m and mass of 77 kg has a moment of inertia given by2/5mr^2. It is…
A: 12Iω2=mg∆h1225mr2ω2=mg∆h ∆h=r2ω25g
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Q: A 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without…
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Q: The earth spins on its axis once a day and orbits the sun once a year (365 1/4 days). Determine the…
A: a) w = θ/t for one day spinning θ = 2π t = 24*3600 sec w = 2π/24*3600 w = 7.3*10-5 rad/s
Q: A 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without…
A: Recall law of conservation of angular momentam. I1ω1=I2ω2
Q: 80, ential and components of a discus as it is being thrown. A discus thrower turns with angular…
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Q: The four particles in Figure below are connected by rigid rods of negligible mass. The origin is at…
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Q: Mars has a mass 0.642 x 1024 kg and a radius of 1700. kg. On average, it is 228 x 106 km from the…
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Q: A 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without…
A: Applying the conservation law of angular momentum, Here, L, I, m, r, and ω represent the cylinder’s…
Q: include units
A: a)The rotational inertia is 0.0248267kgm2b)The kinetic rotational energy is…
Q: A 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without…
A: Mass of cylindrical barrel (M)=10 kg Radius of the barrel (r)=0.5 m Initial angular velocity of the…
Q: A hollow sphere of mass M and radius R = 0.15 m, with rotational inertia I kg · m? about a line…
A: Given: Mass of hollow sphere, M Radius of sphere, R=0.15 m Rotational inertia, I=0.040 kg.m2…
Q: A light rod of length { = 1.00 m rotates about an axis perpendicular to its length and passing…
A: Given quantities: Length of the rod (L) = 1.00 m mass of particle 1 (m1) = 4.60 kg mass of particle…
Q: The figure shows an overhead view of a ring that can rotate about its center like a merry-go-round.…
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Q: A dancer is spinning at 72 rpm about an axis through her center with her arms outstretched, as shown…
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Q: In the figure, two particles, each with mass m = 0.77 kg, are fastened to each other, and to a…
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Q: In the figure, two particles, each with mass m-0.93 kg. are fastened to each other, and to a…
A: Given that, In the figure, two particles, each with mass m =0.93 kg, length d-5.7 cm = 0.057 m and…
Q: pace station shaped like a giant wheel has a radius of 124 m and a moment of inertia of 5.64 x 10^8…
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Q: Two astronauts (figure), each having a mass of 72.0 kg, are connected by ad = 11.0-m rope of…
A: Please note : As per answering guidelines I can answer the first three subparts of a multisub-part…
Q: In the figure, two particles, each with mass m = 0.90 kg, are fastened to each other, and to a…
A: Given Data: Mass of the particle (m) = 0.90 kg.Length (d) = 5.6 cm = 0.056 m.Mass of the rods (M) =…
Q: In the figure. two particles. each with mass m 0.95 kg. are fastened to each other, and to a…
A: Given,mass of the each particle, m = 0.95 kglength of the rod, d = 5.8 cmmass of the rod, M = 1.0…
Q: A supergiant star collapses during a supernova blowing off 80.080.0% of it's mass. Angular momentum…
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Q: In the figure, two particles, each with mass m = 0.82 kg, are fastened to each other, and to a…
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Q: A disk of mass M is spinning freely at 7.69 rad/s when a second identical disk, initially not…
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Q: The disk with mass m = 2.5 kg and radius r= 20 cm rotates like a merry-go-round under the torque…
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Q: A car is traveling along a road, and its engine is turning over with an angular velocity of +210…
A: (a) The angular velocity is given by, ω0=θt θ=ω0t Substituting the given values, θ=210 rad/s13.0 s…
Q: uppose you're an field engineer inspecting an offshore wind turbine. You're in a boat approaching a…
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- A Ferris wheel with radius 14.8 m and initial angular speed 0.18 rad/s starts speeding up with constant angular acceleration 0.28 rad/s2. The magnitude of the resultant (total) acceleration of a point on the edge of the wheel 1.4 s after it starts speeding up is (enter your answer with two significant figures)A wheel with a 15 cm radius rotating at 3 rad/s begins to speed up. After 5 seconds have passed, the wheel has undergone 23 full rotations.Calculate the angular acceleration of the wheel in units of rad/s^2 during this 5 second interval.Calculate how fast a point, located halfway between the center and the edge of the wheel, is moving in units of m/s at the end of this 5 second interval.The figure shows an overhead view of a ring that can rotate about its center ike a merry-go-round. Its outer radius R, is 09m, its inner radius R, is R/2, its mass M is 7.7 kg, and the mass of the crossbars at its center is negligible. It initially rotates at an angular speed of 8.8 rad/s with a cat of mass m = M/4 on its outer edge, at radius R, By how much does the cat increase the kinetic energy of the cat-ring system if the cat crawls to the inner edge, at radius R.? Number Units the toleranco in L f
- In the figure, two particles, each with mass m = 0.78 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.5 cm and mass M = 1.3 kg. The combination rotates around the rotation axis with angular speed ω = 0.32 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy?The Earth has an angular speed of 7.272 10-5 rad/s in its rotation. Find the new angular speed if an asteroid (m = 1.22 1022 kg) hits the Earth while traveling at a speed of 1.45 103 m/s (assume the asteroid is a point mass compared to the radius of the Earth) in each of the following cases. (a) The asteroid hits the Earth dead center along the radial line from the Sun through the Earth's center. (b) The asteroid hits the Earth nearly tangentially in the direction of Earth's rotation. (c) The asteroid hits the Earth nearly tangentially in the direction opposite to Earth's rotation.In the figure, two particles, each with mass m = 0.84 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.6 cm and mass M = 1.0 kg. The combination rotates around the rotation axis with angular speed w = 0.28 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy? (a) Number 8 M Rotation axis (b) Number i M m Units Units
- What is the angular momentum of a 0.315 kg ball rotating on the end of a thin string in a circle of radius 1.10 m at an angular speed of 12.0 rad/s ? Express your answer using three significant figures and include the appropriate units.A disk of mass M is spinning freely at 9.27 rad/s when a second identical disk, initially not spinning, is dropped onto it so that their axes coincide. In a short time the two disks are corotating. HINT (a) What is the angular speed of the new system (in rad/s)? rad/s (b) If a third such disk is dropped on the first two, find the final angular speed of the system (in rad/s). rad/sA 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without displacing with an initial angular velocity of 4 rad/s. The rotational inertia of the cylindrical barrel is 0.3mr2 and rain begins to fill the barrel with water as its rotating. If the barrel accumulates 4 kg of water, calculate the new angular velocity of the barrel.
- A bicycle wheel with a radius of 350 mm and a mass of (2.40x10^0) kg is spinning freely on a work stand at a rate of 2.0 rev/sec when a (1.0000x10^0) kg kitten jumps on it radially, holds on and starts spinning around. What is the new rotational velocity of the wheel in units of rev/s? Treat the wheel as a thin hoop. Give your answer with three significant figures.A 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without displacing with an initial angular velocity of 4 rad/s. The rotational inertia of the cylindrical barrel is 0.3mr2 and rain begins to fill the barrel with water as its rotating. If the barrel accumulates 4 kg of water, calculate the new angular velocity of the barrel.NASA physicians need to know whether the contents of astronauts' skulls (brain, eyes, eardrums, etc.) move so much during rotational maneuvers that injury might be caused. If you are an astronaut in a spinning spacecraft and have an initial angular displacement of 3.14 radians, an initial angular velocity of 3.683 radians per second, and an angular acceleration of 0.02 radians per second squared, what distance will your eyes have traveled around the center of your skull after 26.83 seconds?