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Ksju [112]
3 years ago
9

13) A mass attached to the free end of a spring executes simple harmonic motion according to the equation y = (0.50 m) sin (18π

t) where y is in meters and t is seconds. What is the period of vibration?
Physics
1 answer:
Kitty [74]3 years ago
4 0

Hi there!

The period is given by:

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

T = Period (sec)

w = angular frequency (rad/sec)

According to the equation for SHM in terms of position:

y(t) = Asin(ωt + φ)

A = Amplitude (m)

ω = angular frequency (rad/sec)

t = time (sec)

φ = phase angle

In this instance, the angular frequency is given as 18π.

Plug this value into the equation for T:

T= \frac{2\pi}{18\pi} = \frac{1}{9} = \boxed{0.111 s}

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