
Тело, совершает колебания по закону х=0,04 sin. Найти частоту и смещение через время 1/16с


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рлиплмгтодддтоо 2ллилтлтотрпплщдщ



Finding Frequency and Displacement of a Body in Simple Harmonic Motion
To find the frequency and displacement of a body in simple harmonic motion at a given time, we can use the equation for simple harmonic motion:
Displacement equation: The displacement of a body in simple harmonic motion is given by the equation: x(t) = A * sin(ωt + φ)
Where: - x(t) is the displacement at time t - A is the amplitude of the motion - ω is the angular frequency - t is the time - φ is the phase angle
Given that the body's displacement follows the equation x = 0.04 * sin, we can find the frequency and displacement at time 1/16s.
Calculating Frequency and Displacement
To find the frequency and displacement at time 1/16s, we can use the following steps:1. Frequency (ω): The angular frequency (ω) can be calculated using the formula: ω = 2π/T where T is the time period.
2. Displacement at time 1/16s: Substitute the given time (1/16s) into the displacement equation to find the displacement at that time.
Applying the Formulas
1. Frequency (ω): Using the formula ω = 2π/T, where T is the time period, we can calculate the frequency.2. Displacement at time 1/16s: Substitute the given time (1/16s) into the displacement equation x(t) = A * sin(ωt + φ) to find the displacement at that time.
Conclusion
By applying the formulas for simple harmonic motion, we can calculate the frequency and displacement of the body at the given time.

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