The period of the pendulum is defined as the time for the bob to swing through a complete cycle and return to its starting position (mean position). ... The angular velocity vector is defined as the derivative of the angular position as a function of time. ... The tangential velocity of any point is proportional to its distance from the axis of rotation. Angular velocity has the units rad/s. ... The velocity is also smaller but the time period increase...

• Word Count: 5681
• Approx Pages: 23
• Grade Level: High School

For example, computation of the derivative could provide the instantaneous velocity of a moving particle; integration was useful in finding the area of curved regions. ... Calculating volumes and areas, the basic function of integral calculus, can be traced back to the Egyptian Moscow papyrus (c. 1800 BC), in which an Egyptian successfully calculated the volume of a pyramidal frustum. ... Around AD 1000, the Islamic mathematician Ibn al-Haytham (Alhazen) was the first to derive the formula for the sum of the fourth powers, and using mathematical induction, he developed a method that is...

• Word Count: 6149
• Approx Pages: 25
• Grade Level: Undergraduate

Graph 1 (Velocity vs. ... Centrifugal force is a function of vehicle mass and speed that tries to throw the car out of the turn (either frontward when tight or backwards when loose). ... Aerodynamic down force - measured in pounds - is a square function of speed. ... Goals: This experiment will show the greatest position of instability for a test vehicle in relation to another vehicle during a passing situation on a racecourse. The objective will be to determine the position at which the air pressure and resultant force has the greatest influence on the test car. ...

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• Grade Level: High School

The concept of a function is also related to the Dirichlet concept. Dirichlet regarded y = x2 - 3x + 5 as a function which is thought of as the rule that determines y for a given x of an ordered pair of the function; thus, the preceding rule determines (3, 5), (-4, 33) as two of the infinite number of elements of the function. ... The statement y = f (x), read "y is a function of x," indicated the dependence between the variables x and y; f (x) is given as a specific formula, such as f (x) = x2 - 3x + 5, or by a rule stated in words, such as f (x) is the first integer larger than x for all x...

• Word Count: 2379
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• Grade Level: High School

Books related to Werner Heisenberg and the Heisenberg Uncertainty Principle Werner Heisenberg and the Heisenberg Uncertainty Principle Werner Heisenberg, born in the dawn of the twentieth century became one of its greatest physicists; he is also among its most controversial. While still in his early twenties, he was among the handful of bright, young men who created quantum mechanics, the basic physics of the atom, and he became a leader of nuclear physics and elementary particle research. He is best known for his uncertainty principle, a component of the so-called Copenhagen interpretatio...

• Word Count: 4427
• Approx Pages: 18
• Grade Level: Undergraduate

Werner Heisenberg and the Heisenberg Uncertainty Principle Werner Heisenberg, born in the dawn of the twentieth century became one of its greatest physicists; he is also among its most controversial. While still in his early twenties, he was among the handful of bright, young men who created quantum mechanics, the basic physics of the atom, and he became a leader of nuclear physics and elementary particle research. He is best known for his uncertainty principle, a component of the so-called Copenhagen interpretation of the meaning, and uses of quantum mechanics. Through his successful life, h...

• Word Count: 4391
• Approx Pages: 18
• Grade Level: Undergraduate

Werner Heisenberg and the Heisenberg Uncertainty Principle Werner Heisenberg, born in the dawn of the twentieth century became one of its greatest physicists; he is also among its most controversial. While still in his early twenties, he was among the handful of bright, young men who created quantum mechanics, the basic physics of the atom, and he became a leader of nuclear physics and elementary particle research. He is best known for his uncertainty principle, a component of the so-called Copenhagen interpretation of the meaning, and uses of quantum mechanics. Through his successful life,...

• Word Count: 4218
• Approx Pages: 17
• Grade Level: High School

If a car is moving at a constant speed or velocity, v, then the distance, s, it travels in time, t, is s = vt or velocity times time. ... This sideways acceleration is a change in the sideways velocity. ... If you keep the steering and throttle at constant positions, you will continue to go mostly forwards and a little sideways until you end up where you started. ... The exact formula for kinetic energy is ½mv2, where m is the mass of an object and v is its speed. ... Brake fluid has the function of transmitting the pressure of your foot on the pedal to the brake pads by hydrostatics. ...

• Word Count: 2784
• Approx Pages: 11
• Grade Level: High School