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sleet_krkn [62]
3 years ago
7

The tip of a tuning fork goes through 440 complete vibrations in a time of 0.510s. Find the angular frequency and the period of

the motion.
Physics
2 answers:
Stels [109]3 years ago
8 0
44 complete vibrations in 0.510s.

1 complete vibration would be in:   0.510/44 = 0.01159 s.

Hence the Period, T = 0.01159 s

Frequency, f = 1/T = 1/0.01159 ≈ 86.28 Hz

Angular frequency, ω = 2πf = <span>2π*86.28 </span>≈ 542.11 rad/s
Brilliant_brown [7]3 years ago
7 0
Solve for the time it will take to complete a revolution. That is,
                                   0.510 s / 440 revolutions = 51/44000 s
The frequency in Hertz is the reciprocal of this value thus the frequency is approximately equal to 862.75 Hz. 

Angular velocity expressed in radians/second
                          (440 rev / 0.510 s) x (2π rad / 1 rev) = 5420.787 rad/s

The period is the reciprocal of frequency which is approximately equal to 1.16x10^-3 s.

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