An oscillator consists of a block of mass 0.450 kg connected to a spring. When s

Question

An oscillator consists of a block of mass 0.450 kg connected to a spring. When set intooscillation with amplitude 25.0 cm, it is observed to repeat its motionevery 0.800 s. (a) Find the period.
s

(b) Find the frequency.
hz

(c) Find the angular frequency.
rad/s

(d) Find the spring constant.
N/m

(e) Find the maximum speed.
m/s

(f) Find the maximum force exerted on the block.
N (a) Find the period.
s

(b) Find the frequency.
hz

(c) Find the angular frequency.
rad/s

(d) Find the spring constant.
N/m

(e) Find the maximum speed.
m/s

(f) Find the maximum force exerted on the block.
N

Explanation / Answer

Mass m = 0.45 kg

Amplitude A= 25 cm =0.25 m

Time taken to repeat the motion t = 0.8 s

(a). Period T = t = 0.8 s

(b). Frequency f = 1/T = 1.25 Hz

(c). Angular frequency w = 2(pi) f

                                          = 7.853 rad / s

(d).Spring constant k = mw^ 2

                                   = 27.75 N / m

(e). Maximum speed v = Aw

                                     = 1.963 m / s

(f).maximum force F = kA

                                   = 6.9375 N

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