Calculus and Above

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predilection toward taking summer classes...

You have decided to visit a hypnotist to address your predilection toward taking summer classes rather than enjoying life. You don't fall under his spell, but you do hear the ticking of the wall clock and use it to measure the period of the Simple Pendulum formed by the swinging watch. You measure a period of τ = 1.94 seconds. We will take the amplitude of the pendulum to be θmax = 17.28 degrees.SHM_Hypnotist

Determine all the following:

The frequency of the pendulum, f =

Hz

The angular frequency of the motion, ω =

rad/sec

The amplitude of the motion in radians, θmax =

radians

The maximum angular velocity, ωmax =

rad/sec

The angular velocity when θ = 69% of full swing, ω(θ = 0.69 θmax) =

rad/sec

Determine all the following:

The frequency of the pendulum, f =

Hz

The angular frequency of the motion, ω =

rad/sec

The amplitude of the motion in radians, θmax =

radians

The maximum angular velocity, ωmax =

rad/sec

The angular velocity when θ = 69% of full swing, ω(θ = 0.69 θmax) =

rad/sec

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