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May 3, 2021: The California Department of Public Health issued updated guidance on face coverings, mandating face masks in indoor settings outside of one's home with few exceptions. Outdoors, fully vaccinated persons are not required to wear face coverings except for attending crowded outdoor events. Unvaccinated persons are required to wear a face covering outdoors any time physical distancing cannot be maintained. The CDC released updated information on how to protect yourself and others when you've been fully vaccinated. If you have not been vaccinated yet, find a vaccine.
In general, the dependence on body shape, inclination,air viscosity, and compressibility is very complex.One way to deal with complex dependencies is to characterize thedependence by a single variable. For lift, this variable is called thelift coefficient, designated "Cl".For given air conditions, shape, andinclination of the object, we have to determine a value for Cl todetermine the lift.For some simple flow conditionsand geometries, and low inclinations, aerodynamicistscan now determine the value of Cl mathematically. But, in general, thisparameter is determined experimentally usingmodelsin awind tunnel.For thin airfoils, at small angles of attack, the lift coefficient is approximatelytwo times pi (3.14159) times the angle of attack expressed in radians.
By the time the Wrights began their studies, it had been determined thatlift depends on the square of the velocity and varies linearlywith the surface area of the object.Early aerodynamicists characterized the dependence on the properties of the airby a pressure coefficient calledSmeaton's coefficient which represented thepressure force (drag) on a one foot square flat plate moving at one mile per hour throughthe air. They believed that any object moving through the air converted someportion of the pressure force into lift, and they derived a different version of thelift equationwhich expressed this relationship.Today we know that the lift varies linearly with the density of the air.Near sea levelthe value is .00237 slugs/cu ft, or 1.229 kg/cu m,but the value changes with air temperature and pressure.The pressure and temperature vary in a rather complex way withaltitude.The linear variation with density and the variation with the square of thevelocity suggests a variation with the dynamic pressure which weencountered inBernoulli's equation.So modern aerodynamicists include a factor of 1/2 into the definition of the modernlift equation to reference the aerodynamic forces to the dynamic pressure(1/2 density times velocity squared).
Due to IT security concerns, many users are currently experiencing problems running NASA Glenn educational applets. The applets are slowly being updated, but it is a lengthy process. If you are familiar with Java Runtime Environments (JRE), you may want to try downloading the applet and running it on an Integrated Development Environment (IDE) such as Netbeans or Eclipse. The following are tutorials for running Java applets on either IDE: Netbeans Eclipse
This page shows an interactive Java applet which allows you to changethe speed, angle of attack and wing area of the Wright aircraft andcompare the calculated lift with the weight of the aircraft.As an added feature, you can also vary the temperature and pressure to determinethese effects on aircraft lift.
You can change the values of the velocity, angle of attack, temperature,pressure, and wing area by using thesliders below the airfoil graphic, or by backspacing, typing in your value,and hitting "Return" inside the input box next to the slider.By using the drop menu labeled "Aircraft" you can choose to investigate any ofthe Wright aircraft from 1900 to 1905. At the right bottom you will seethe calculated lift and to the right of the lift is the weight of theselected aircraft.The aircraft designated "-K" are kites and the weight does not includea pilot. The aircraft designated "-G" are gliders and the weight does includea pilot.For design purposes, you can hold the wing area constant and vary the speed andangle of attack, or hold the speed constant and vary the wing area and angle ofattack by using the drop menu next to the aircraft selection.In this simulation, the change in weight due to change in wing area has beenneglected.For output,you can choose to have a plot of the lift or the lift coefficient by usingthe drop menu. You can plot lift versus angle of attack, velocity or wing area bypushing the appropriate button below the graph.You can perform the calculations ineither English or metric units by using the drop menu labeled "Units".Finally you can turn on a "Probe" which you can move aroundthe airfoil to display the local value of velocity of pressure. You mustselect which value to display by pushing a button and you move the probeby using the sliders located around the gage.
Select an aircraft and then find the flight conditions that produce a lift greaterthan the weight. You can check with the individual aircraft pages to see howbig the Wrights designed their wings. Remember that determining the lift isonly a part of the design problem. You will find that a higher angle of attackproduces more lift. But it also produces moredrag.Thelift to drag ratiois an efficiency factor for the aircraft and directly related to theglide angle.The Wrights were aware that they needed both high lift and low drag (which they called"drift"). You will also find that increasing the wing area increases the lift.But in the total design, increasing wing area also increases the weight.
You can view a shortmovieof "Orville and Wilbur Wright" discussing the lift forceand how it affected the flight of their aircraft. The movie file canbe saved to your computer and viewed as a Podcast on your podcast player.
Enjoy the feeling of your worries drifting away as you slowly explore your restful place. When you are ready, gently open your eyes and come back to the present. Don't worry if you sometimes zone out or lose track of where you are during a visualization session. This is normal. You may also experience feelings of heaviness in your limbs, muscle twitches, or yawning. Again, these are normal responses.
Try taking a few minutes to massage yourself at your desk between tasks, on the couch at the end of a hectic day, or in bed to help you unwind before sleep. To enhance relaxation, you can use aromatic oil, scented lotion, or combine self-message with mindfulness or deep breathing techniques.
A combination of strokes works well to relieve muscle tension. Try gentle chops with the edge of your hands or tapping with fingers or cupped palms. Put fingertip pressure on muscle knots. Knead across muscles, and try long, light, gliding strokes. You can apply these strokes to any part of the body that falls easily within your reach. For a short session like this, try focusing on your neck and head:
As with meditation, mindful exercise requires being fully engaged in the present moment, paying attention to how your body feels right now, rather than your daily worries or concerns. Instead of zoning out or staring at a TV as you exercise, focus on the sensations in your limbs and how your breathing complements your movement.
Yoga involves a series of both moving and stationary poses, combined with deep breathing. As well as reducing anxiety and stress, yoga can also improve flexibility, strength, balance, and stamina. Since injuries can happen when yoga is practiced incorrectly, it's best to learn by attending group classes, hiring a private teacher, or at least following video instructions. Once you've learned the basics, you can practice alone or with others, tailoring your practice as you see fit. 2b1af7f3a8