Write the equation of harmonic vibrations if 60 vibrations are performed in one minute. The vibration amplitude is 8 cm.

1. Let us write down the general form of the equations of harmonic oscillations:
x = xm cos ω0t or x = xm sin ω0t.
2. To solve, you need to find the cyclic frequency:
ω = 2п: T.
T = t: N = 60: 60 = 1.
ω = 2п: 1 = 2п.
3.Convert cm to m:
8 cm = 0.08 m (in 1 m 100 cm; 8: 100 = 0.08).
4. We write down the obtained equations:
x = 0.08 cos 2пt or x = 0.08 sin 2пt.
Answer: x = 0.08 cos 2пt or x = 0.08 sin 2пt.