A sphere of radius 20.0 cm and mass 1.80 kg starts from rest and rolls without slipping down a 30.0 degree incline that is 10.0 m long. (a) Calculate its translational and rotational speeds when it reaches the bottom. (b) What is the ratio of translational to rotational KE at the bottom?
Q: Two wheels of moment of inertia 2.0 kg m and 1.0 kg.m are set in rotation with angular speed 6.4…
A:
Q: A wheel of radius 0.277 m, which is moving initially at 46.7 m/s.rolls to a stop in 268 m. Calculate…
A:
Q: A lawn mower has a flat, rod -shaped steel blade that rotates about its center. The mass of the…
A:
Q: A solid cylinder starts from rest and rolls down an incline that is 6.50 m high without slipping.…
A:
Q: A bus contains a 1500 kg, 0.600 m radius flywheel (a disk) and has a total mass of 10,000 kg. (a)…
A:
Q: Figure (a) shows a disk that can rotate about an axis at a radial distance h from the center of the…
A:
Q: The rotational inertia of a collapsing spinning star changes to 1/9 its initial value. What is the…
A:
Q: A wheel of radius 0.282 m, which is moving initially at 37.9 m/s, rolls to a stop in 205 m.…
A:
Q: A hollow spherical shell is rolling along the floor. What is the ratio of its total kinetic energy…
A: Linear velocity of sphere is v=rω
Q: A rotating flywheel has been proposed as a means of temporarily storing mechanical energy in an…
A:
Q: An automobile traveling 56.0 km/h has tires of 60.0 cm diameter. (a) What is the angular speed of…
A:
Q: A uniform rod rotates in a horizontal plane about a vertical axis through one end. The rod is 16.00…
A: Calculate the moment of inertia of the rod about its one end. MOI (I)=13×massm×lengthL2…
Q: If the rotational inertia of a disk is 30 kg m2, its radius R is 2.2 m, and its angular velocity…
A:
Q: The mass of the earth is M = 6.0 × 1024 kg and its radius is R = 6.4 × 106 m. (a) Estimate the…
A:
Q: Two uniform solid cylinders, each rotating about its central (longitudinal) axis, have the same mass…
A:
Q: A concept car includes a solid disk-shaped flywheel which can be spun up to store rotational kinetic…
A:
Q: A merry-go-round has rotational inertia I as it spins on a frictionless axle with angular speed w; .…
A:
Q: A uniform solid cylinder of mass M and radius R rolls without slipping down an inclined frictional…
A: Step 1:Given that solid cylinder roll without sleeping it means : v=ωR Here, R=Radius of…
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 bus contains a 1500 kg, 0.600 m radius flywheel (a disk) and has a total mass Ul (a) Calculate the…
A:
Q: Suppose that you are holding a pencil balanced on its point. If you release the pencil and it begins…
A: The expression of torque in terms of angular acceleration τ=-mg(…
Q: A flywheel turns through 38 rev as it slows from an angular speed of 4.1 rad/s to a stop. (a)…
A:
Q: Calculate the moment of inertia about the z-axis, IZ, for a mass m = 3 mg, that rotates about the…
A: Given: mass of the object (m) = 3 kg the radius of rotation (r) = 3 inches = 3 x 0.0254 =…
Q: An electric sander consisting of a rotating disk of mass 0.5 kg and radius 13 cm rotates at 22…
A: Given: Mass of the disk, m = 0.5 kg. Radius of rotation, r = 0.13 m. Speed of rotation, N = 22 rps.…
Q: (0) Find the rotational kinetic energy (in 3) of a large moon with a rotational period of 23.3 h.…
A: Given,The rotational time period, The mass of the moon, The radius of the moon, The angular…
Q: 2.50 kg solid sphere of radius 1.25 m is rolling with a translational velocity of 7.50 m/s along a…
A: Given Mass m = 2.5 kg Radius R = 1.25 m Translational Velocity v = 7.5 m/s
Q: Starting from rest, a disk rotates about its central axis withconstant angular acceleration. In 5.0…
A:
Q: 4) A 3 m long light cord is wrapped around a uniform cylindrical spool of radius 0.5 m and mass 6…
A: Torque: The torque on a mass about a fixed axis can be defined as the product of the force and the…
Q: A wheel of radius 0.159 m, which is moving initially at 45.2 m/s, rolls to a stop in 299 m.…
A:
Q: A hollow sphere of radius 0.140 m, with rotational inertia / = 0.0243 kg-m2 about a line through its…
A: Given, A hollow sphere of radius 0.140m with rotational inertia I = 0.0243 kg.m2 and rolling without…
Q: A potter’s wheel is spinning with an initial angular velocity of 12 rad/s . It rotates through an…
A:
Q: A car tire (hoop) has a mass of 35 kg and a radius of 0.43 m. The tire is released from rest at the…
A:
Q: Small bodies of mass m, and m₂ are attached to opposite ends of a thin rigid rod of length L and…
A:
Q: A bus contains a 1500 kg, 0.600 m radius flywheel (a disk) and has a total mass of 10,000 kg. (a)…
A: Given: The mass is m=1500 kg, The radius of the flywheel (disk) is R=0.600 m, The total mass is…
A sphere of radius 20.0 cm and mass 1.80 kg starts from rest and rolls without slipping down a 30.0 degree incline that is 10.0 m long. (a) Calculate its translational and rotational speeds when it reaches the bottom. (b) What is the ratio of translational to rotational KE at the bottom?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
- A disk of mass 3.8 kg and radius 0.17 m starts at the bottom of a 25 degree incline. It'stranslational velocity is 16 m/s. How far along the incline does it roll before coming to astop?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?The rotation of a 11 kg motorcycle wheel is depicted in the figure. The wheel should be approximated to be an annulus of uniform density with inner radius R1 = 26 cm and outer radius R2 = 33 cm. Calculate the rotational kinetic energy in the motorcycle wheel if its angular velocity is 120 rad/s in J.
- A car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 2.00 m and a mass of 400 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 4500 rev/min. (a) Find the kinetic energy stored in the flywheel. (b) If the flywheel is to supply energy to the car as would a 20.0-hp motor, find the length of time the car could run before the flywheel would have to be brought back up to speed.If the child applies 21.5 N tangentially to the edge for 25 seconds, what is the angular speed, average work, and power supplied by the child?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?
- Thank you. Shouldn't rotational kinetic energy be used, though, for part (b)?What is the angular acceleration and how long will it take to decrease rotational speed by 27 rad/s?A ceiling fan can accelerate from rest to 2pi rad/s in 8 seconds. (A) what is the angular acceleration of the fan? (B) find the angular displacement of the fan during the first 5 seconds. (C) at the full angular speed of 2pi rad/s find the corresponding tangential speed of a point at the rim of the wing if the radius of the wing is r=0.5m. (D) what is the centripetal acceleration of a point at the rim (r=0.5 m) when the fan reaches full speed? can you give detailed steps please?
- A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 10.0 rev/s; 65.0 revolutions later, its angular speed is 16.0 rev/s. Calculate (a) the angular acceleration (rev/s?), (b) the time required to complete the 65.0 revolutions, (c) the time required to reach the 10.0 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 10.0 rev/s angular speed. (a) Number i Unit (b) Number i Unit (c) Number i Unit (d) Number i Unit > > >A 2.00-m long rod is hinged at one end. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. (a) What is the angular acceleration as it is released? (b) What is the angular acceleration when it reaches the vertical position? (c) Which position has the maximum angular velocity (vertical or horizontal)? (d) Which position has the maximum angular acceleration (vertical or horizontal)? (The moment of inertia of a rod about one end is ML2/3.)