The Earth spins on its axis and also orbits around the Sun. For this problem use the following constants. What would be the calculated of the rotational kinetic energy of the Earth due to rotation about its axis, in joules, and what is the rotational kinetic energy of the Earth due to it's orbit around the Sun, in Joules?Mass of the Earth: 5.97 × 1024 kg (assume a uniform mass distribution) Radius of the Earth: 6371 km Distance of Earth from Sun: 149,600,000 km

A uniform cylindrical grindstion has a mass of 10 kg and a radius of 12 cm. (a) What is the rotational kinetic energy of the grindstone when it is rotating at 1.5103rev/min ? (b) After the grindstone’s motor is turned off, a knife blade is pressed against the outer edge coefficient of kinetic friction between the grindstone and the blade is 0.80. Use the work energy theorem to determine how many turns the grindstone makes before it stops.

A turntable (disk) of radius r = 26.0 cm and rotational inertia0.400 kg m2 rotates with an angular speed of 3.00 rad/s arounda frictionless, vertical axle. A wad of clay of mass m =0.250 kg drops onto and sticks to the edge of the turntable.What is the new angular speed of the turntable?

A sphere of mass 1.0 kg and radius 0.5 m is attached to the end of a massless rod of length 3.0 m. The rod rotates about an axis that is at the opposite end of the sphere (see below). The system rotates horizontally about the axis at a constant 400 rev/min. After rotating at this angular speed in a vacuum, air resistance is introduced and provides a force 0.15 N on the sphere opposite to the direction of motion. What is the power provided by air resistance to the system 100.0 s after air resistance is introduced?

Problems 62 and 63 are paired. 62. C A disk is rotating around a fixed axis that passes through its center and is perpendicular to the face of the disk. Consider a point on the rim of the disk (point R) and another point halfway between the center and the rim (point H) at one particular instant. a. How does the angular speed v of the disk at point H compare with the angular speed of the disk at point R? b. How does the tangential speed of the disk at point H compare with the tangential speed of the disk at point R? c. Suppose we pick a point H on the disk at random (by throwing a dart, for example), and we compare the speeds at that point with the speeds at point R. How will the answers to parts (a) and (b) be different? Explain.

A peach pie in a 9.00 in diameter plate is placed upon a rotating tray. Then, the tray is rotated such that the rim of the pie plate moves through a distance of 208 in. Express the angular distance that the pie plate has moved through in revolutions, radians, and degrees. angular distance: 7.35 revolutions angular distance: 46.18 radians 2646 angular distance: If the pie is cut into 9 equal slices, express the angular size of one slice in radians, as a fraction of x. radians angular size = xX

A sweet potato pie in a 8.00 in diameter plate is placed upon a rotating tray. Then, the tray is rotated such that the rim of the pie plate moves through a distance of 258 in. Express the angular distance that the pie plate has moved through in revolutions, radians, and degrees. angular distance: revolutions angular distance: radians angular distance: If the pie is cut into 5 equal slices, express the angular size of one slice in radians, as a fraction of r. radians angular size = xX

Please answer the question correctly

An automobile tire is rated to last for 35,000 miles. Estimate the number of revolutions the tire will make in its lifetime. O 106 revolutions O 1010 revolutions O 103 revolutions O 1012 revolutions O 107 revolutions

What is the angle in radians between the vectors a = (-9, 1,-10) and b = (10, -5, -5)? Angle: (rad (radians)