A collapsible solid sphere has a mass of 1.5kg and a radius of 20cm. This sphere is originally spinning with a rotational velocity of 18rad/s. The sphere is then collapsed so that it has a radius of 15cm in a process that reduces its size but doesn't produce a torque on the sphere. What is the rotational velocity of the sphere after it collapses?
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: Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the…
A:
Q: A thin disk rotates about an axis that goes through its center perpendicular to its plane. The…
A:
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 playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an…
A: It is given that,
Q: Multiple-Concept Example 10 provides one model for solving this type of problem. Two wheels have the…
A:
Q: A wheel of mass 1Kg and a radius of 0.5 meters is initially at rest. A constant torque of 6 Nm is…
A:
Q: A student holds a bike wheel and starts it spinning with an initial angular speed of 7.0 rotations…
A: Given data: The initial angular speed is ni=7.0 rotation per second. The time taken is t=10.0 s.…
Q: P19. A cylinder with mass of M and radius R can rotate about a vertical, frictionless axle. A se-…
A: mass of larger cylinder = M radius of larger cylinder = R mass of smaller cylinder =m radius of…
Q: translational kinetic energy, and what fraction of the kinetic energy is rotational kinetic energy?…
A: m = 2.4 kg r = 0.62 m w = 58 rpm
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 uniform, solid sphere with a radius of 0.20 m and a mass of 0.50 kg rolls without slipping on a…
A: The formula for the moment of inertia of a solid sphere is: The formula for the total kinetic…
Q: A collapsible uniform sphere has a mass of 1.5kg and a radius of 20cm. This sphere is originally…
A: The moment of inertia of sphere before shrunk is, I0=25mr2=251.5 kg0.20 m2=0.024 kg·m2 The moment of…
Q: A solid sphere of mass 2 kg and diameter 15 cm rotates about its center at rate 2 rad/s. What is…
A: Given: The mass of the sphere is 2 kg. The diameter is 15 cm. The angular speed is 2 rad/s.
Q: The figure gives angular speed versus time for a thin rod that rotates around one end. (a) What is…
A:
Q: A rope is wrapped around the rim of a large uniform solid disk of mass 135 kg and radius 2.70 m. The…
A:
Q: A 50 kg solid disk (I = ½ mr2) with a radius of r starts from rest and rotates about an axis through…
A: Given: Mass of disk, M=50 kg Angular speed of disk, ω=16 rad/s Radius of disk, r=3.5 m Angular…
Q: To stretch pizza dough into a perfect shape a chef throws the dough spinning around its symmetry…
A:
Q: Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of…
A:
Q: And ice dancer with her arm stretch out, starts into a spin with an angular velocity of 1.8 rad/S…
A: Given data: The initial angular velocity is ω1=1.8 rad/s The initial moment of inertia is I1=2.41…
Q: Problem 7: A merry-go-round (uniform disk) has a mass of 120 kg and a radius of 1.8 m. It is…
A:
Q: A wheel rotates about a fixed axis with constant angular speed and makes 2 revolutions every second.…
A:
Q: You have two cylinders, both of mass m and radius r. One cylinder is solid and the other is hollow.…
A: Given that they both are rotting with same angular speed ωand rotational kinetic energy is given…
Q: Rotational kinetic energy: A uniform solid sphere of mass M and radius R rotates with an angular…
A:
Q: 11.8 kg solid sphere (radius = .450 m) is released from rest at the top of a ramp and allowed to…
A:
Q: Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of…
A:
Q: A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations…
A:
Step by step
Solved in 2 steps
- A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s. What was her average angular velocity in radians/second? A 720rad/s B 19.3rad/s C 4? rad/s D 9.67 rad/s E 1107 rad/sA 4kg wheel with a radius of 0.3m and a rotational inertia of I = (2/3)mr^2 has an initial translational kinetic energy of 50J. The wheel experiences a 4Nm torque that slows the wheel down for 2 seconds. What is the magnitude of the wheel’s final linear velocity?A 4kg wheel with a radius of 0.3m and a rotational inertia of I = (2/3)mr^2 has an initial translational kinetic energy of 50J. The wheel experiences a 4Nm torque that slows the wheel down for 0.5 seconds. What is the magnitude of the wheel’s final linear velocity?
- Two girls (26 kg each) are standing on the edge of a solid, rotating disk of mass 70 kg and radius 1.3m. The initial angular speed of the disk is 0.71 rev/s. If one of the girls moves slowly toward the center while the other stays put at the edge, what is the new angular speed of the disk when she reaches the halfway point?A 153 g baseball is pitched at 27.89 m/s and spinning at 40 rad/s. You can treat the baseball as a uniform solid sphere of radius 4 cm. What fraction (in %) of its kinetic energy is rotational?The figure gives angular speed versus time for a thin rod that rotates around one end. (a) What is the magnitude of the rod's angular acceleration? (b) At t = 4.0 s, the rod has a rotational kinetic energy of 8.35 J. What is its kinetic energy at t = 0?
- 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 diagramA solid sphere with a radius of 0.44 and a mass 0.26 is set to rotate about its center. After a time of 12.1 s, its rotational kinetic is 29.3 J. What is its constant angular acceleration? The moment of inertia for a solid sphere is I=2/5MR2Chapter 10, Problem 053 GO The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.6 cm and a mass of 24 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.3 s the disk has an angular velocity of 290 rad/s counterclockwise. Force F, has a magnitude of 0.102 N. What is magnitude F2? Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work
- Hi please help: a solid disk of radius R= 70 cm rotates about its center at an angular speed of 43 revolutions per minute. The mass of the disk is M= 7.7 kg. The moment of inertia of a solid disk is given by 1/2 MR^2. What is the rotational kinetic energy (in Joules) of the disk? Answer with three significant figuresFlywheels 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 270 kg. Its maximum angular velocity is 1200 rpm. It takes the flywheel, with a constant torque of 55 Nm, 310 seconds to reach its top speed and additionally, 1.1x106 J stored in the flywheel. The average power delivered to the machine is 2.66x105 W after the flywheel is disconnected and half the energy stored in the flywheel is delivered in 2.0 seconds. How much torque does the flywheel exert on the machine?A hollow spherical shell of radius R that is rotating about an axis through its center has rotational kinetic energy K. If you want to modify this sphere so that it has three times as much kinetic energy at the same angular speed while keeping the same mass, what should be its radius in terms of R?