Answer:
ω = 22.36 Hz
f = 3.56 Hz
T = 0.28 s.
Explanation:
a) The angular frequency (ω), can be calculated using the following equation:
<u>Where:</u>
<em>k: is the spring constant = F/x</em>
<em>m: is the mass of the particle = 0.500 kg</em>
<em>F: is the force applied = 7.50 N </em>
<em>x: is the displacement = 3.00 cm = 0.03 m </em>
Therefore, the angular frequency of the motion is 22.36 Hz.
b) To find the frequency (f) we can use the next equation:
Hence, the frequency of the motion is 3.56 Hz.
c) The period (T) is equal to:
Therefore, the period of the motion is 0.28 s.
I hope it helps you!