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Welcome to our Physics lesson on Equation of Motion in a Simple Pendulum, this is the fourth lesson of our suite of physics lessons covering the topic of Pendulums. Energy in Simple Harmonic Motion, you can find links to the other lessons within this tutorial and access additional physics learning resources below this lesson.
The equation of SHM for a simple pendulum considers the rotational parameter of angular displacement θ as dependent variable and the time t as independent one, i.e. it is an equation of type
where θ0 is the amplitude, i.e. the initial angle to the vertical direction, ω = 2π / T the angular frequency θ(t) is the angle to the vertical direction at a given instant t.
Obviously, we must use the same procedure in determining the angular velocity and angular acceleration as in the other cases of SHM, i.e. by taking the first derivative of θ(t) as equation of velocity v(t) and the second derivative of θ(t) [or the first derivative of v(t)] for the acceleration. Hence, we obtain
for angular velocity, and
for the angular acceleration in a simple pendulum.
You have reached the end of Physics lesson 10.2.4 Equation of Motion in a Simple Pendulum. There are 5 lessons in this physics tutorial covering Pendulums. Energy in Simple Harmonic Motion, you can access all the lessons from this tutorial below.
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