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A test tube filled with liquid of uniform density rho, as shown in the figure (see attachment), is spun in a centrifuge with angular frequency w. The test tube lies perpendicular to the axis of rotation of the centrifuge. The pressure in the fluid at the distance r0 from the axis of rotation is p0. You may ignore the variation in pressure with depth; assume that it is much smaller than the variation in pressure with radius.
a). What is the pressure p(r) of the fluid in the test tube at an arbitrary distance r from the axis of rotation?(Express your answer in terms of rho, r, omega, r0, and p0)
Consider a thin ring of radius a with uniform charge density and total charge Q. The ring is cut in half across the diameter and the two halves superimposed to double the effective charge density. Calculate the electric field at a point 4a from the r..
You notice a very one-dimensional-thinking snail crawling along one rail of a railroad track. What is the snail\'s displacement ?x in centimeters
Find the value of Q that would make the thickness of the equivalent body 0.1 times its length (i.e the value of y at the dividing streamline at x=0 is 1/10 of the x coordinate at the aft stagnation point.).
A battery of internal resistance r = 0.2 ohms and emf = 12.0 V is connected to a device with resistance R = 6.0 ohms. What is the rate of heat generated in the battery
A person with perfect pitch sits on a bus bench listening to the 445 Hz horn of an approaching car. If the person detects the frequency of 488 Hz, how fast is the car moving.
You have 21 tuning forks that oscillate at close but different frequencies. What are the minimum number of different beat frequencies you can produce by sounding the forks 2 at a time, depending on how the frequencies differ
Assuming the diver has inhaled a negligible amount of air from the tank, what is the temperature of the ocean water.
A ball is thrown from the window of a high-rise building with an initial velocity of 5.1 m/s at an angle of 22 deg. how fast is the ball travelling when it hits the (horizontal) ground
An astronaut on the surface of the moon weighs rock samples using a light spring balance. The balance, which was calibrated on earth, has a scale 100mm long which reads from 0 to 1.0kg. He observes that a certain rock gives a steady reading of 0.40kg..
A 100 Ohm resistor dissipates heat to its surroundings, isothermally. The resistor maintains a constant temperature of 300 K. How much energy does the surroundings absorb
A certain transformer has a primary coil with 100 turns and a secondary coil with 540 turns. What is the input output voltage
Visible light passes through a diffraction grating that has 900 slits per centimeter, What is the difference between these wavelengths
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