Respuesta :
Answer:
The frequencies are 13.8 Hz, 75 Hz, 12 Hz and 63.8 Hz.
Explanation:
Given that,
The frequency in r.p.m
[tex]f_{1}=830\ rpm[/tex]
[tex]f_{2}=4500\ r.p.m[/tex]
[tex]f_{3}=720\ r.p.m[/tex]
[tex]f_{4}=3832\ r.p.m[/tex]
Suppose, we find the frequency in hz.
We know that,
One r.p.m is equal to the one divided by 60 Hz.
[tex]1\ r.p.m=\dfrac{1}{60}\ Hz[/tex]
We need to calculate the frequency in Hz
Using formula for frequency in Hz
For f₁,
[tex]f_{1}=830\ r.p.m[/tex]
[tex]f_{1}=\dfrac{830}{60}\ Hz[/tex]
[tex]f_{1}=13.8\ Hz[/tex]
For f₂,
[tex]f_{2}=4500\ r.p.m[/tex]
[tex]f_{2}=\dfrac{4500}{60}\ hz[/tex]
[tex]f_{2}=75\ Hz[/tex]
For f₃,
[tex]f_{3}=720\ r.p.m[/tex]
[tex]f_{3}=\dfrac{720}{60}\ hz[/tex]
[tex]f_{3}=12\ Hz[/tex]
For f₄,
[tex]f_{4}=3832\ r.p.m[/tex]
[tex]f_{4}=\dfrac{3832}{60}\ hz[/tex]
[tex]f_{4}=63.8\ Hz[/tex]
Hence, The frequencies are 13.8 Hz, 75 Hz, 12 Hz and 63.8 Hz.
