To find the frequency at which the mass oscillates, we can use the formula for the frequency of simple harmonic motion:
f = (1 / (2π)) * sqrt(k / m),
where f is the frequency, k is the spring constant, and m is the mass.
Given:
k = 12 N/m
m = 7 kg
Substituting the given values into the formula, we get:
f = (1 / (2π)) * sqrt(12 N/m / 7 kg)
Now, simplify the expression:
f = (1 / (2π)) * sqrt(12 / 7) Hz
To calculate the numerical value, substitute the approximate value for √(12/7) and evaluate:
f ≈ (1 / (2π)) * (1.2309) Hz
f ≈ 0.1969 Hz
Therefore, the mass oscillates at approximately 0.1969 Hz.
A heavy 7 kg mass on a weak 12 N/m spring oscillates with an amplitude of 23 cm. At what frequency in Hz does the mass oscillate?
1 answer