Answer to Question #92692 in Classical Mechanics for Prevail

Question

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?

Answer 1

The angular frequency for a simple pendulum is given by:

$$w=\frac{2\pi}{T}$$

Where

• Period T=2sec

Numerically evaluating

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

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

The equation of maximum acceleration is

$$a_{max}=A*w^{2}$$

Where:

Amplitude of motion A=0.01m

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

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