Step-by-step explanation:
Given that,
Radius of circle, r = 38 cm = 0.38 m
It rotates form 10 degrees to 100 degrees in 11 seconds i.e.
[tex]\theta_i=10^{\circ}=0.174\ rad[/tex]
[tex]\theta_f=100^{\circ}=1.74\ rad[/tex]
Let [tex]\omega[/tex] is the angular velocity of the particle such that, [tex]\omega=\dfrac{\omega_f-\omega_i}{t}[/tex]
[tex]\omega=\dfrac{1.74-0.174}{11}[/tex]
[tex]\omega=0.142\ rad/s[/tex]
We need to find the instantaneous velocity of the particle. The relation between the angular velocity and the linear velocity is given by :
[tex]v=r\times \omega[/tex]
[tex]v=0.38\times 0.142[/tex]
v = 0.053 m/s
So, the instantaneous velocity of the particle is 0.053 m/s. Hence, this is the required solution.
