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Question: A thin flat disc of diameter D is rotated about a spindle through its center, at a speed of ω radians per second, in a fluid of density ρ and kinematic viscosity ν. Show that the power P needed to rotate the disc may be expressed as
Note: For (a) solve in terms of the index of ν and for (b) solve in terms of the index of ω. Further, show that ωD2/ν, PD/ρν3, and P/ρω3D5 are all nondimensional quantities.
a 55.9-kg skateboarder starts out with a speed of 1.83 ms. he does 98.3 j of work on himself by pushing with his feet
Find the conductivity of a conduit with a cross-sectional area of 0.60 cm2 and a length of 15 cm, given that its conductance G is 0.050 ohm-1.
Three negative charges of equal magnitudes are positioned along the x-axis at x = -a, x=0, and x = +a respectively. The charge located at x=0 is moved away along the y-axis to a position (x,y) = (0, +a). How does the potential energy of the system..
Lurking alligators. An alligator waits for prey by floating with only the top of its head exposed, so that the preycannot easily see it. One way it can adjust the extent of sinkingis by controlling the size of its lungs.
A(n) 331 g object is attached to a spring and executes simple harmonic motion with a period of 0.294 s. The total energy of the system is 1.7J. Find the force constant of the spring. (N/m) Find the amplitude of the motion (in cm)
A 2.50 meter long copper wire has a mass of 0.25 kilograms. A magnetic field of 0.15 Teslas is oriented horizontally from south to north. What is the minimum current in the rod that would allow it to "float" in this magnetic field? What is the direct..
If Earth were flat and oriented at right angles to incoming solar radiation (insolation), what would be the latitudinal distribution of solar energy at the top of the atmosphere?
An isolated container holding 30 g of hydrogen gas is at 25degrees C. If 1,000 calories were transferred to the gas, what would be the new temperature of the gas
A plucked guitar string produces a sound wave of frequency 440 Hz. What is the wavelength of the sound wave (assume the speed of sound in air is 340 m/s)?
A 0.03 kg bullet hits asteel plate and melts and splatters on impact. Assuming thatthe bullet recieves 80% of the collision energy, at what minimium speed must it travel to melt on impact?
A turntable of mass 5.01 kg has a radius of 0.129 m and spins with a frequency of 0.530 rev/s. What is its angular momentum? Assume the turntable is a uniform disk.
A gravity station at a location of 0m is located in the center of an erosional basin. The floor of the basin has virtually no relief. An escaprment of a plateau is located at a distance of 3000m from the gravity station. The surface of the plateau..
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