Q: A student sits atop a freely rotating stool holding two dumbbells, each of which has a mass of 3.09 kg. When the student’s arms are extended horizontally outward, the dumbbells are 0.99 m from the axis of rotation. There are 180 degrees of separation between the extended arms. The student rotates with an angularContinue reading “ROTATIONAL MOTION: Rotational Inertia”
Tag Archives: radian
CENTRIPETAL ACCELERATION
Q: What is the centripetal acceleration of a point located 7.50 cm from the central axis of an ultracentrifuge spinning at a rate of 7.5 x 104 rev/min? A: The given rate of 7.5 x 104 revolutions per minute is converted to radians per second ( ⍵ ) in the latter stages of the solutionContinue reading “CENTRIPETAL ACCELERATION”
OSCILLATIONS AND WAVES: The Period of a Pendulum
Q: A pendulum has a length of 2.45 m. How many seconds will it take the pendulum to swing through one complete cycle? Does the mass of the pendulum influence the period? Why or why not? A: This question regards the period ( T ) of a pendulum. The period ( T ) is definedContinue reading “OSCILLATIONS AND WAVES: The Period of a Pendulum”
RADIANT ENERGY: Wavenumber, Angular Frequency, and the Wave Nature of Light
Trigonometric functions such as sin ( θ ) and cos ( θ ) are commonly used to model the oscillating motion of traveling waves. In the diagram above, a complete wave cycle occurs from crest-to-crest, trough-to-trough, or along the x-axis as indicated by the blue line. Since the diagram above can be modeled with theContinue reading “RADIANT ENERGY: Wavenumber, Angular Frequency, and the Wave Nature of Light”
MATHEMATICS: Radius, Radians, Diameter, Circumference, and ” Pi ” = 3.14
C = 2πR. What does this mean? What is its usefulness? C = The distance around any circle. But where did such a formula come from? Start by drawing a circle. Within the middle of the circle, draw a dot. Now, draw a line that passes through the dot. This line should divide the circleContinue reading “MATHEMATICS: Radius, Radians, Diameter, Circumference, and ” Pi ” = 3.14″
RENAISSANCE PHYSICS 