Answer:
[tex]v=33.764m/s[/tex]
Explanation:
Given data
Mass m=1.2 g=0.0012 kg
diameter d=0.76 m
Friction Force F=3.6 N
To find
Velocity v
Solution
From the Centripetal force we know that
[tex]F_{c}=\frac{mv^{2} }{r}[/tex]
Where m is mass
v is velocity
r is radius
Substitute the given values to find velocity v
So
[tex]F_{c}=\frac{mv^{2} }{r}\\v^{2}=\frac{F_{c}(r)}{m}\\ v=\sqrt{\frac{F_{c}(r)}{m}}\\ v=\sqrt{\frac{F_{c}(diameter/2)}{m}}\\v=\sqrt{\frac{(3.6N)(0.76/2)m}{(0.0012kg)}}\\v=33.764m/s[/tex]
