Q: How may we derive an expression for the frequency ( f ) and period ( T ) of a pendulum? How does the motion of a rotating radius ( r ) within a unit circle relate to the centripetal or “ center seeking “ force that maintains a simple-pendulum system? A: We begin byContinue reading “ROTATIONAL MOTION: The Frequency and Period of a Pendulum”
Tag Archives: unit circle
MATHEMATICS: The Unit Circle, Sine, Cosine, and Tangent Functions
Linear momentum ( p ) will be maximally conserved when two particles moving towards one another with a constant velocity ( v ) along a straight line collide: p1i + p2i = p’1f + p’2f Things become somewhat more complicated when some measurable entity is maximized or minimized when it passes through some other entityContinue reading “MATHEMATICS: The Unit Circle, Sine, Cosine, and Tangent Functions”
AP PHYSICS: The Unit Circle and Basic Trigonometric Functions
Imagine a bat hitting a baseball head on. The ball-to-bat force pair created upon impact is unbalanced; thus, after impact, the ball will sail outward in the opposite direction. What if, however, the bat-to-ball collision occurred at an angle? How would the magnitude of force imparted to the ball change? Answers to these types ofContinue reading “AP PHYSICS: The Unit Circle and Basic Trigonometric Functions”
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”
RENAISSANCE PHYSICS 