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A tornado in the shape of a cylinder with a diameter of 100 m has an axis of rotation through its center which is along the vertical direction. The sense of rotation is cyclonic (counterclockwise). The wind is purely rotational, with a wind speed given by V=0.8r m/s, where r is the distance from the axis.a. Find the circulation C at r=100mb. Find the curvature and shear contributions to the vorticity (eta) as well as eta itself.c. Due to vertical stretching, the radius of the tornado decreases to 50 m. What is the final vorticity, assuming that it remains uniform.
A 48.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial speed of 1.44 102 m/s from the top of a cliff 152 m above level ground, How much work has been done on the projectile by air friction
A flywheel is spinning with its axle pointing along the east-west direction. You are standing west of the flywheel facing toward it. What is the direction of the flywheel's angular velocity
we have a parallel plate capacitor separation of 0.2mm capacitance C0= 21 nF we fill it with 20g of silicone oil & density 520 kg/m^3, find the max charge on the plate before dielectric breakdown
A rocket moves straight upward ,starting from rest with an acceleration of +29.4 m/s2. it runs out of fuel at the end of 10.00 seconds, find the maximum height the reaches
In a dentist's office, an X-ray of a tooth is taken using X-rays that have a frequency of 8.07 multiply.gif 1018 Hz
A cylindrical piston sits on top of hydraulic fluid that exerts a force of 240 N on the piston. Find the magnitude of the net force on the piston
A solenoid 30 cm long has 2900 turns of wire and carries a current of 5.7 A. Find the magnetic field at the common center
Starting from rest, two skaters "push off" against each other on smooth level ice, where friction is negligible. One is a woman and one is a man. find the recoil velocity of the man relative to the ice
A light spring-gun projectile launcher is mounted on an 0.393 kg air track glider. What is the speed of the air-track glider after the gun is fired
A train is travelling up a 5.0 degree incline at a speed of 2.25m/s when the last car breaks free and begins to coast without friction. a) How long does it take for last car to come to rest momentarily? b) How far did the last car travel before mo..
A string of length 10.0m has a linear mass density of 25g/m. What is the speed of the pulse as it approaches the top of the string
A microwave oven operates at 2.4 GHz with an intensity inside the oven of 2350W/m^2. What is the amplitude of the oscillating electric field
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