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One of the limitations on the design of modern windmills for the generation of electricity is that the tip of the blades must not exceed the speed of sound in air (340 meters per second). Otherwise you would get the pressure of the sonic "boom" on the blades that would severely impede the motion of the blades, as well as produce the persistent noise of the boom that would severely impede the prospects of re-election of the politician who had the windmill installed. You come across such a windmill while driving through the mid-west and you estimate the length of its blades to be 42.0 meters. Being a closet physicist you take out your pocket watch and count the revolutions of the blades in one minute to be 46.0.
a) The blade tip speed is what fraction of the speed of sound?
b) What is the acceleration of the blade tips, in m/s2?
A 1.90 kg ball is attached to the bottom end of a length of fishline with a breaking strength of 10 lb (44.5 N). At what angle (measured from the vertical) will the fishline break
A 5.0 kig block is hung from the ceiling on a 2.0-meter-long wire with a mass of 4 g. How long does it take the pulse to reach the ceiling
A cockroach of mass m lies on the rim of a uniform disk of mass 3 m that can rotate freely about its center like a merry-go-round. find the angular velocity of the cockroach-disk system
A plot of pressure as a function of volume is known as a pV diagram. pV diagrams are often used in analyzing thermodynamic processes. Consider an ideal gas that starts in state O, as indicated in the diagram. Your task is to explain how the gas proce..
A test charge of +2 micro C is placed halfway between a charge of +6 micro C and another +4 micro C sperated by 10cm. what is the magnitude of the force on the test charge
Two tiny spheres have the same mass and carry charges of the same magnitude. The mass of each sphere is 5.04 10-6 kg. Determine the charge magnitude
two point charges are on the y axis. A 3.50 uc charge is located at y=1.1cm, and a -2.16 uc charge at y=-1.4cm. find the total electric potential at origin in volts
A 75 kg ladder that is 3.0 m in length is placed against a wall at an angle theta. The center of gravity of the ladder is at a point 1.2 m from the base of the ladder. find the static frictional force between the floor and the ladder
Because of the Earth's rotation, a plumb bob does not hang exactly along a line directed to the center of the Earth. How much does the plumb bob deviate from a radial line
If it takes you about 2 minutes to fill your 12 gal (or 0.48 m3) gas tank. Estimate the velocity of the gas as it leaves the nozzle
Density-Gravity Problem: a) Planet Vulcan has twice the mass of Earth and the same radius. What are its volume, density and surface gravity compared to Earth?
A 1.50mm -diameter glass bead is positively charged. The potential difference between a point 1.50mm from the bead, What is the charge on the bead
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