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"The Compton generator is a beautiful demonstration of the Coriolis force due to the earth's rotation,.... A narrow glass tube in the shape of a torus or ring (radius R of the ring >> radius of the tube) is filled with water, plus some dust particles to let one see any motion of the water. The ring and water are initially stationary and horizontal, but the ring is then spun through 180 degrees about its east--west diameter. After this rotation the water has acquired a velocity in the tube due to the Coriolis force. Derive the Coriolis force on a small element of water at position [theta]. In which direction will the water move? Now derive the speed of the water in the tube after it has rotated 180 degrees and show that it is v=2wRsin[lambda] (the water is initially at rest). Where R is the radius of the circle that the tube forms, [lambda] is the latitude on the earth and w is the earth's angular speed.
An asteroid is seen in opposition from Earth once every 1000 days. What is the sidereal orbital period of the asteroid? What is the length of the semi major axis of the asteroids orbit?
The planet Neptune orbits our Sun at an average distance of 4.50 * 10^9 km.It's mass is 1.02 8 10^26 kg. The Sun's mass is 1.99 * 10^30 kg. What is the strength of the gravitational field at the "surface"of Neptune
A uniform disk of mass M = 1.6 kg and radius R = 0.18 m rotates counterclockwise at a constant rate of 36 rev/s about its central axis. Determine the radial acceleration of a point on its rim
If the relativistic kinetic energy of a particle is 9 times its rest energy, at what fraction of the speed of light must the particle be travelling
The captain of a boat wants to travel directly across a river that flows due east with a speed of 1.00 m/s. Estimate the speed of the boat relative to a person
Suppose a diode consists of a cylindrical cathode with a radius of 6.200×10?2cm , mounted coaxially within a cylindrical anode with a radius of 0.5580cm, Find its speed vfinal when it strikes the anode
Animals in cold climates often depend on two layers of insulation: a layer of body fat [of thermal conductivity 0.200W/(m dot K) ] surrounded by a layer of air trapped inside fur or down. We can model a black bear (Ursus americanus) as a sphere 1...
questiontwo hockey players aaron and brunnhilde are pushing two pucks on a frictionless ice rink. the pucks are at
A crate of mass 14.0 kg is pulled up a rough incline with an initial speed of 1.50 m/s. How much mechanical energy is lost due to friction
A solid disk of radius 1.60 m and mass 2.30 kg rolls without slipping to the bottom of an inclined plane. If the angular velocity of the disk is 4.27 rad/s at the bottom, what is the height of the inclined plane
A sound source approximated as a point radiates sound equally in all directions. What is the total power of the source
Acceleration is sometimes expressed as multiples of g, the acceleration due to Earth’s gravity. In a car crash, the car’s (and driver’s) velocity may go from 26 m/s to zero in 0.15 seconds. On average, what is the acceleration experienced by the driv..
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