A 1.5kg mass attached to an ideal spring oscillates horizontally with an amplitude of 0.50m. The spring constant is 85 n/m. what is the frequency of the mass’s motion?
A 1.5kg mass attached to an ideal spring oscillates horizontally with an amplitude of 0.50m. The spring constant is 85 n/m. what is the frequency of the mass’s motion?
Answer:
frequency of the mass motion [tex]f[/tex] ≅ 1.2 Hz
Explanation:
Given that:
Mass m = 1.5 kg
Amplitude A = 0.50 m
Spring constant k = 85 n/m
The frequency can be calculated by using the formula:
[tex]f = \frac{1}{2 \pi} \sqrt{\frac{k}{m} }[/tex]
[tex]f = \frac{1}{2 \pi} \sqrt{\frac{85}{1.5} }[/tex]
[tex]f = 1.198[/tex] Hz
frequency of the mass motion [tex]f[/tex] ≅ 1.2 Hz