A sewing machine needle that moves up and down in simple harmonic motion has a maximum speed of: 20.35 cm/s
The simple harmonic motion formula and the procedure we will use is:
v(max) = A*ω = A * (2π*f)
Where:
- v(max) = maximum speed
- A = amplitude
- f = frequency
Information of the problem:
- f= 2.55 hz
- A= 1.27 cm
- π = 3.1416
- v(max) =?
- Hz = s⁻¹
Applying simple harmonic motion formula, we get:
v(max) = A * (2π*f)
v(max) = (1.27 cm) * (2 * 3.1416 * 2.55 Hz)
v(max) = 20.35 cm/s
What is simple harmonic motion?
In physics it is a repetitive movement back and forth (periodic oscillation) in a line. The acceleration is proportional to its displacement. It is abbreviated AHM.
Learn more about simple harmonic motion at brainly.com/question/17315536
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