Answer:
The maximum frequency of revolution is 3.6 Hz.
Explanation:
Given that,
Mass = 8 kg
Distance = 400 mm
Tension = 800 N
We need to calculate the velocity
Using centripetal force
[tex]F=\dfrac{mv^2}{r}[/tex]
Where, F= tension
m = mass
v= velocity
r = radius of circle
Put the value into the formula
[tex]800=\dfrac{8\times v^2}{200\times10^{-3}}[/tex]
[tex]v^2=\sqrt{\dfrac{800\times200\times10^{-3}}{8}}[/tex]
[tex]v=4.47\ m/s[/tex]
We need to calculate the maximum frequency of revolution
Using formula of frequency
[tex]f=\dfrac{v}{2\pi r}[/tex]
Put the value into the formula
[tex]f=\dfrac{4.47}{2\pi\times200\times10^{-3}}[/tex]
[tex]f=3.6\ Hz[/tex]
Hence, The maximum frequency of revolution is 3.6 Hz.
