Given is the time T=0.754 sec
(a)
The problem describes the time taken to execute one cycle of the motion. The period is T=0.75s.
(b)
Using the Formula of frequency is
f=1/T
f=1/T
≈1.3Hz
where the SI unit abbreviation Hz stands for Hertz, which means a cycle-per-second.
(c)
For finding the angular frequency following formula will be used:
ω=2πf
where ω is the angular frequency
f denotes the frequency
Since 2π radians are equivalent to a cycle
ω=2πf
=2*3.12*1.3
ω=8.4rad/s.
Therefore
(a) the period=0.754 sec
(b) the frequency in hertz is 1.3Hz
(c) the angular frequency is 8.4rad/s.
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