The frequency of an ideal spring oscillator changes when mass is added or subtracted. The new frequencies can be found using the inverse square-root relationship without knowing the spring constant, resulting in approximate frequencies of 1.46 Hz and 2.73 Hz respectively.
The frequency will be approximately 1.46 Hz if 0.320 kg is added to the original mass, and approximately 2.73 Hz if 0.320 kg is subtracted from it.
The frequency of an ideal spring-mass oscillator depends on the mass (m) and spring constant (k) as given by the formula f = (1/2π) √(k/m). When mass is added to or subtracted from the oscillator without changing the spring constant, the new frequency can be found by using the ratios of the initial and final masses because the spring constant remains the same. Adding mass will decrease the frequency while subtracting mass will increase it. By using the concept of direct and inverse proportionality between frequency and the square root of mass, we can calculate the new frequencies without needing the specific value of the spring constant.
The oscillation frequency changes when the mass of a spring-mass system is altered. The relationship follows an inverse square root proportion, allowing us to determine the new frequency after adding or subtracting mass.