There are so many self-piloted drones in use today - they are also powered with electric motors. Very soon the airplane Solar Impulse 2 will complete a trip around the world (the article was written in November 2015). We can find them labor away on the surface of the Earth, underground, on the surface of the water, underwater, and even in the air.
The electric motors of today are present not only on Earth but also in space, such as in the Mars science laboratory "Curiosity". Besides, they have also used to power all kinds of industrial and research robots. They also provide numerous other invaluable services as part of various woodworking, metalworking, stone working, and other tools and machines, power tools, and mechanisms.Įlectric motors are even used in powered exoskeletons for people with disabilities and veterans. They bring water all the way up to the top floors of skyscrapers, operate fountains, remove water from mines and wells, roll steel, and are built into cranes to lift heavy items in the construction industry. The hope is that the issue of getting the (electric) starter running in the cold and other petrol- and diesel-related problems can be forever forgotten once you switch to an electric car.Įlectric motors are all around us: they move our elevators up and down and push our subway trains, electric multiple units, trams, trolleybuses, and high-speed trains. Some of us have dreamt of a Tesla electric car when trying to start our car at −40 ☌ temperatures. Some men’s wish list is quite humble: for those who do not enjoy handiwork, it may include an electric drill at most. Of course, an air conditioner is very important as well, but for those who cannot afford it, a fan will do the job. Those who love gourmet cooking also enjoy owning an electric meat grinder and a bread maker. Also important are microwaves, hairdryers, coffee grinders, mixers, and blenders. No modern person can imagine their household without a fridge, a vacuum cleaner, or a washing machine. They are our primary helpers and do heavy-duty work in the industry, the transportation sphere, and in everyday life. We are surrounded by electric motors and generators. For example, enter the time of flight, distance, and initial height, and watch it do all calculations for you!īe sure also to check the parabola calculator to learn more about such a curve from a mathematical point of view.A universal motor that can operate on both AC and DC power is usually used in cordless drills Using our projectile motion calculator will surely save you a lot of time. Maximum height: h m a x = V y 2 / ( 2 g ) h_\mathrm = h + V^2_ \mathrm y / (2 g) h max = h + V y 2 / ( 2 g ).Range of the projectile: R = 2 V x V y / g R = 2 V_\mathrm x V_\mathrm y / g R = 2 V x V y / g.Time of flight: t = 2 V y / g t = 2 V_\mathrm y / g t = 2 V y / g.Vertical velocity component: V y = V sin α V_\mathrm y = V \sin \alpha V y = V sin α.Horizontal velocity component: V x = V cos α V_\mathrm x = V \cos \alpha V x = V cos α.Launching the object from the ground (initial height h = 0).
Uff, that was a lot of calculations! Let's sum that up to form the most essential projectile motion equations: Vertical acceleration is equal to − g -g − g (because only gravity acts on the projectile).Vertical velocity can be expressed as V y − g t V_\mathrm y - g t V y − g t.Horizontal velocity is equal to V x V_\mathrm x V x .Vertical distance from the ground is described by the formula y = h + V y t − g t 2 / 2 y = h + V_\mathrm y t - g t^2 / 2 y = h + V y t − g t 2 /2, where g g g is the gravity acceleration.Horizontal distance traveled can be expressed as x = V x t x = V_\mathrm x t x = V x t where t t t is the time.
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We tackled both problems in the horizontal projectile motion calculator and free fall calculator, respectively. If, additionally, α = 90°, then it's the case of free fall. If the vertical velocity component is equal to 0, then it's the case of horizontal projectile motion.
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