Physics frequency problems?
2. (a) A tuning fork has a frequency of 256 Hz, what is the period of the tuning fork?
(b) Calculate the velocity of a wave that has a frequency of 14.0 kHZ (k=1000) and a wavelength of 4.00 m.
3. (a) If the frequency of a mass-spring system is 1.50 Hz, and the mass on the spring is 5.00 kg, what is the spring constant?
(b) Using the spring constant that you determined for part (a), what would be the frequency if a 2.50 kg mass is suspended instead?
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Period (T) = 1 / Frequency (f)
T = 1 / f
T = 1 / 256 Hz
T = 3.9063E-3 seconds
T = 3.9063 milliseconds {answer 2a}
Wavelength (λ) = speed of wave (s) divided by the Frequency (f)
λ = s / f
4.00 m = s / 14E3 Hz
s = (4.00 m) * (14E3 Hz)
s = 56E3 m/s
s = 56,000 meters per second (m/s) {answer 2b}
ω = 2 * pi * freq
ω = 2 * 3.1415 * 1.5 Hz
ω = 9.4247 Hz
ω = SQRT (k / m)
9.4247 Hz = SQRT (k / 5.00 Kg)
(9.4247 Hz)^2 = k / 5.00 Kg
k = 444.1322 {answer 3a}
ω = SQRT (k / m)
ω = SQRT (444.1322 / 2.50 Kg)
ω = 13.3287 rads/sec
f = 13.3287 rads/sec / 2 * pi
f = 2.1213 Hz
period = 1 / frequency. Surely you know how to divide?
λf = c (speed of the wave in m/s)
λ = Wavelength in meters
f = frequency in Hz
c = (14000)(4) m/s