Question #92692

An oscillating pendulum bulb has a mass 0.1kg. It's amplitude is 0.01 meter and it's period is 2sec. The constant w (omega) in the acceleration formula is?

Expert's answer

The angular frequency for a simple pendulum is given by:



w=2πTw=\frac{2\pi}{T}


Where

  • Period T=2sec


Numerically evaluating

w=2π2>w=πradsw=\frac{2\pi}{2}--->w=\pi \frac{rad}{s}


Then the angular frequency w=πradsw=\pi \frac{rad}{s}


The equation of maximum acceleration is

amax=Aw2a_{max}=A*w^{2}

Where:

Amplitude of motion A=0.01m

angular frequency of movement w=πradsw=\pi \frac{rad}{s} ​



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