Answer:
v= 3.18 m/s
Explanation:
Given that
m= 150 g = 0.15 kg
M= 240 g = 0.24 kg
Angular speed ,Ļ = 150 rpm
The speed in rad/s
[tex]\omega =\dfrac{2\pi N}{60}[/tex]
[tex]\omega =\dfrac{2\pi \times 150}{60}[/tex]
Ļ = 15.7 rad/s
The distance of center of mass from 150 g
[tex]r=\dfrac{150\times 0+240\times 33}{150+240}\ cm[/tex]
r= 20.30 cm
The speed of the mass 150 g
v= Ļ r
v= 20.30 x 15.7 cm/s
v= 318.71 cm/s
v= 3.18 m/s
The speed of the 150 g ball rotating about its center mass is 3.2 m/s.
The given parameters;
The angular speed of the balls in radian per second;
[tex]\omega = 150 \ \frac{rev}{\min} \times \frac{2 \pi \ rad}{rev} \times \frac{1 \min}{60 \ s } \\\\\omega = 15.71 \ rad/s[/tex]
The length of the second Ā mass is calculated as follows;
[tex]L_2 =\frac{240(33)}{150 + 240} \\\\L_2 = 20.31 \ cm = 0.2031 \ m[/tex]
The speed of the 150 g ball is calculated as follows;
[tex]v = 0.2031 \times 15.71\\\\\ v = 3.2 \ m/s[/tex]
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