Answer:
centripetal acceleration of the ball is 6.9 m/s/s
tangential speed of the ball is 2.2 m/s
Explanation:
As we know that ball complete 5 rotations in 10 seconds
so frequency of rotation of ball is given as
[tex]f = \frac{5}{10} = 0.5 Hz[/tex]
now we know that angular frequency is given as
[tex]\omega = 2\pi f[/tex]
[tex]\omega = 2(\pi)(0.5)[/tex]
[tex]\omega = \pi rad/s[/tex]
Now centripetal acceleration is given as
[tex]a_c = \omega^2 R[/tex]
[tex]a_c = \pi^2 (0.7)[/tex]
[tex]a_c = 6.9 m/s^2[/tex]
now the velocity of the ball at this angular frequency is given as
[tex]v = R\omega[/tex]
[tex]v = 0.7 (\pi)[/tex]
[tex]v = 2.2 m/s[/tex]
